Answer:
16
Step-by-step explanation:
55-7= 48
48/3 = 16
It took Alfonzo 25 minutes to shop for a shirt. If he left the store at 2:25 P.M. after buying the shirt, what time did he start shopping?
The time he start shopping is 2 : 00 PM
How to determine the time he start shopping?From the question, we have the following parameters that can be used in our computation:
Time spent = 25 minutes
Time he left the store = 2 : 25PM
Using the above as a guide, we have the following:
Time he started = Time he left the store - Time spent
substitute the known values in the above equation, so, we have the following representation
Time he started = 2 : 25PM - 25 minutes
Evaluate
Time he started = 2 : 00 PM
Hence, the time he start shopping is 2 : 00 PM
Read more about expression at
https://brainly.com/question/15775046
#SPJ1
permieter of 2 rectangles is 54 cm.
work out the area of a square
The Area of Square is 81 cm².
let the side of the square which is length for both rectangles be a.
let the width of rectangle be x and y.
So, x+ y= a
sum of perimeters= 54
2 (a +x ) + 2 (a+ y) = 54
2a+ 2x + 2a+ 2y = 54
2a + 2a + 2(x+ y) = 54
4a + 2 (a) = 54
4a + 2a = 54
6a = 54
a= 54/6
a= 9
So, area of square
= 9 x 9
= 81 cm²
Learn more about Area here:
https://brainly.com/question/1631786
#SPJ1
Identify the angles that each have a measure of 88°.
Answer:
vdnchdbcdbchdbnhdbnhvbdjvjdsvhdfnjvdjvjdv
Step-by-step explanation:
Triangle DEF has vertices D(1,1), E(2,0), and F(0,4). It is transformed by a rotation 180 degrees about the origin followed by a dilation with a scale factor of 3. Find the coordinates of the vertices of triangle D”E”F”.
Check the picture below.
Find the area of the region bounded by
• y = √x,
• y = 2-x², and
y = -√2x.
The area of the Region bounded by y = √x, y = 2-x², and y = -√2x is $\frac{32}{15}$.
To find the area of the region bounded by y = √x, y = 2-x², and y = -√2x, we need to graph the equations and determine the points of intersection. Then we can integrate to find the area.
Firstly, we'll graph the equations and find the points of intersection:
y = √xy = 2-x²y = -√2xGraph of y = √x, y = 2-x², and y = -√2xWe need to solve for the points of intersection, so we'll set the equations equal to each other and solve for x:√x = 2-x²√x + x² - 2 = 0Let's substitute u = x² + 1:√x + u - 3 = 0√x = 3 - u
(Note: Since we squared both sides, we have to check if the solution is valid.)u = -2x²u + x² + 1 = 0 (substituting back in for u
)Factoring gives us:u = (1, -2)We can then solve for x and y:x = ±1, y = 1y = 2 - 1 = 1, x = 0y = -√2x = -√2, x = 2y = 0, x = 0Graph of y = √x, y = 2-x², and y = -√2x with points of intersection to find the area, we need to integrate.
The area is bounded by the x-values -1 to 2, so we'll integrate with respect to x:$$\int_{-1}^0 (2 - x^2) - \sqrt{x} \ dx + \int_0^1 \sqrt{x} - \sqrt{2x} \ dx$$
We can then simplify and integrate:$$\left[\frac{2x^3}{3} - \frac{2x^{5/2}}{5/2} + \frac{4}{3}x^{3/2}\right]_{-1}^0 + \left[\frac{2x^{3/2}}{3} - \frac{4x^{3/2}}{3}\right]_0^1$$$$= \frac{4}{3} + \frac{4}{3} - \frac{4}{15} + \frac{4}{3} - \frac{4}{3}$$$$= \frac{32}{15}$$
Therefore, the area of the region bounded by y = √x, y = 2-x², and y = -√2x is $\frac{32}{15}$.
For more questions on Region .
https://brainly.com/question/31408275
#SPJ8
An investment portfolio is shown below.
Investment Amount Invested ROR
Money Market Account $3,200 2.1%
Government Bond $1,750 4.4%
Preferred Stock $1,235 −7.8%
Common Stock $2,300 10.5%
Using technology, calculate the difference between the arithmetic average ROR and the weighted average ROR. Round to the nearest tenth of a percent.
0.5%
1.1%
2.3%
3.5%
Using technology, the difference between the arithmetic average ROR and the weighted average ROR is 0.52%
What is arithmetic mean?The Arithmetic Mean will be called the Simple Arithmetic Mean when it is calculated as the quotient between the sum of all the different related values and the number of observations involved in this sum.
Given An investment portfolio
Since arithmetic average ROR:
The average arithmetic average ROR is the sum of the rate of returns divided by the number of investments arithmetic average:
ROR = (2.1%+ 4.4%+ 7.8% + 0.5%)/4
arithmetic average ROR=6.20%
total amount invested=$3200+$1750+$1235+$2,300
total amount invested=$8,485
weighted average:
ROR = (3200/8485 * 2.1%+ 1750/8485 * 4.4%+ 1235/8485 *7.8% + 2300/8485 *0.5%)
weighted average:
ROR=5.68%
difference=6.20%-5.68%
difference=0.52%
Learn more about ROR on:
brainly.com/question/28683603
#SPJ1
Answer: it’s 1.1%
Step-by-step explanation: just got it right on the test
Rectangle ABCD has vertex coordinates A(-1,-1), B(-1, -3), C(-4,-3), and
D(-4,-1). It is translated 2 units to the left and reflected across the x-axis.
What are the coordinates of A"B"C"D?
Answer:
A"(-3, 1)
B"(-3, 3)
C"(-6, 3)
D"(-6, 1)
Step-by-step explanation:
first, find the coordinate after you move it to the left by simply adding 2 to the X coordinate because left and right is in the X plane.
you will get these;
A"(-3, -1)
B"(-3, -3)
C"(-6, -3)
D"(-6, -1)
Then, to find the new coordinate after getting the rectangle reflected across the x-axis, simply change all Y coordinate into positives.
HOPE THIS HELPS :))
2. A bag contains 3 red, 4 white, and 5 blue marbles. Jason begins removing marbles from the bag at
random, one at a time. What is the maximum number of marbles he must remove to be sure that the bag
consist at least 1 marble of each colour?
(a) 1
b) 2
(c) 4
(d) 10
Answer:
c
the total number of marbles are 12 and there are 3 colours so you divide 12 by 3
Using Triangle Similarity Theorems (6)
A
12
E A
B
9
D
What is the length of DC? Show work.
Answer:
DC = 3
Step-by-step explanation:
Based on triangle similarity theorem, we would have the following equation:
\( \frac{AD}{AC} = \frac{AE}{AB} \)
Plug in the values
\( \frac{9}{9 + DC} = \frac{12}{12 + 4} \)
\( \frac{9}{9 + DC} = \frac{12}{16} \)
\( \frac{9}{9 + DC} = \frac{3}{4} \)
Cross multiply
3(9 + DC) = 9×4
27 + 3DC = 36
Subtract 27 from each side
3DC = 36 - 27
3DC = 9
Divide both sides by 3
DC = 9/3
DC = 3
What is the trigonometric ratio for sin C?
Enter your answer, as a simplified fraction.
Answer:
(9/40)
Step-by-step explanation:
Sin is Opposite/Adjacent
sin(C) = AB/BC
We can find the value of AB by using the Pythagorean Theorem:
a^2 + b^2 = c^2
(80)^2 + b^2 = (82)^2
b = 18
sin(C) = 18/80 or (9/40)
what are two numbers have a product of 20 and a sum of 9
Answer:
Step-by-step explanation:
Solve the image, and you get points.
On a piece of paper, graph y = (x-2)(x+3). Then determine which answer
choice matches the graph you drew.
Answer: B (also in attachment)
How to: Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Have a great day and stay safe !
The graph of y = (x - 2) (x + 3) is shown in image.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ y = (x - 2) (x - 3)
Now, We get;
Two points on the graph are,
⇒ (2, 0) and (3, 0)
Hence, The graph of y = (x - 2) (x + 3) is shown in image.
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ7
Solve each triangle using LAW OF SINES. Please do number 13 and 15
The value of the dimensions of the triangle using law of sines are angle C = 29.03 degrees, angle B = 58.97 degrees, and side b = 30.009 yd.
What is law of sines?A triangle's sides and angles are related by the Law of Sines, a trigonometric formula. For every triangle with sides a, b, and c and opposing angles A, B, and C, it says that:
The equation sin A/a = sin B/b = sin C/c
In other words, for all three angles, the ratio of the sine of each angle to its opposite side is the same. When part of the sides and angles of a triangle are known, this formula can be used to find the unknown sides or angles.
The law of sines gives the ratio of the side length to the opposite angle.
Thus, using the given triangle we have:
Sin A / a = Sin C /c
Sin 92 / 35 = Sin C / 17
Sin C = 17 Sin 92 / 35
C = arcsin (17 Sin 92 / 35)
C = 29.03
Using the sum of angle of triangle we have:
A + B+ C = 180
92 + B + 29.03 = 180
B = 58.97
Now,
Sin A / a = Sin B / b
Sin 92 / 35 = Sin (58.97) / b
b = sin (58.97) (35) / sin 92
b = 30 .009
Hence, the value of the dimensions of the triangle are angle C = 29.03 degrees, angle B = 58.97 degrees, and side b = 30.009 yd.
Learn more about law of sines here:
https://brainly.com/question/13098194
#SPJ1
Two trains leave stations 396 miles apart at the same time and travel toward each other. One train travels at 80 miles per hour while the other travels
at 100 miles per hour. How long will it take for the two trains to meet?
Answer:
It will take 2.2 hours for the trains to meet.
Step-by-step explanation:
Given,
Distance between two trains = 396 miles
Speed of one train = 95 mph
Speed of other train = 85 mph
Combined speed of trains = 95+85 = 180 mph
Distance = Speed * Time
Time =
Time =
Time = 2.2 hours
It will take 2.2 hours for the trains to meet.
Keywords: speed, distance
Learn more about distance at:
brainly.com/question/13219835
brainly.com/question/1836777
#LearnwithBrainly
Step-by-step explanation:
21) Kinzang is 1.49 m tall. He was 0.53 m at birth. How much did he grow?
Kinzang grew 0.96 meters.
We have,
To find how much Kinzang grew, we need to subtract his height at birth from his current height:
Height Kinzang grew = Current height - Height at birth
Height Kinzang grew = 1.49 m - 0.53 m = 0.96 m
Therefore,
Kinzang grew 0.96 meters.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ1
Fill in the table for y= 4x + 2
Answer:
(-2, -6)
(1,6)
(2, 10)
Step-by-step explanation:
y = 4x + 2
y = 4(-2) + 2
y = -8 + 2
y = -6
y = 4x + 2
y = 4(1) + 2
y = 4 + 2
y = 6
y = 4x + 2
y = 4(2) + 2
y = 8 + 2
Y = 10
Mary baked a batch of cookies. The cookies needed 2 1/4 pounds of flour. Jack made 3 1/2 times the amount of cookies that Mary made. How many pounds of flour did Jack need?
a) 63 pounds
b) 8 pounds
c) 8 1/2 pounds
d) 7 7/8 pounds
Answer:
d) 7 7/8 pounds
Step-by-step explanation:
\(2 \frac{1}{4} \times 3 \frac{1}{2} = \frac{9}{4} \times \frac{7}{2} = \frac{63}{8} = 7 \frac{7}{8} \)
Can someone help me out ? Thx :)
Answer:
so your answer is 360 degrees which is an entire circle so out of the circle you have 53 degrees out 360 cut in have is 180 so 53 minus 180 is 27
hence the answer is 27
Is 4/5 more than 2/3
Answer:
Yes
Step-by-step explanation:
Because if you Mult. the denominator to 15 you get 12/15 and 10/15 Which is less than 12/15
unit 7 right triangles & trigonometry homework 5: trigonometry : finding sides and angles
Answer:
1. 7.3
2. 33.3
3. 21.3
4. 31.9
5. 25.6
6. 11.0
7. 42°
8. 64°
9. 13°
10. 51°
Step-by-step explanation:
make sure if you're using a math calculator that it is in degree mode.
SIN, COS, OR TAN. SOH CAH TOA. Sin is Opposite/hypotenus.
Cos is Adjacent(next to it)/hypotenus.
Tan is Opposite/Adjacent.
~~
PROBLEM 1:
So we have 63°, 16 as hypotenus, and x as one of the legs.
1. Figure out whether it is Sin, Cos, or Tan. (It's adj and hyp. of the angle degree (63° listed so it's cos.)
2. Once you set it up, it is Cos 63°= x/16 then flip it around. which makes it 16 COS 63= X.
3. Input it into your calculator as 16cos(63, then it will give you.. 7.263847996
4. Don't forget to round to the nearest tenth, which gives you
x = 7.3
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
PROBLEM 2:
Given: 39°, 27 is opposite of the °, and adj is x. So this is Tan.
1. Set it up, Tan 39° = 27/x can't solve this way so fix it.
2. rewritten as X = 27/tan39
3. round ur answer.
x = 33.3
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
PROBLEM 3:
Given: 49°, adj is 14, hyp is x. So this is Cos.
1. Set up according to CAH, Cos 49=(14/x).
We can't solve it this way since the X is on the bottom. So we have to fix it!
2. Turns into X Cos 49 = 14, which then turns into X= 14/cos49.
3. Put it in your calculator as 14 DIVIDED BY cos 49. ( Put image example)
4. Round.
x= 21.3
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
PROBLEM 4:
Given: 15°, 33 hyp, adj x. Which is Cos.
1. Cos 15= x/33 and rewrite.
2. Input as 33 cos(15 into calculator = 31.875...
3. Round to tenth.
x = 31.9
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
PROBLEM 5:
Given: 52°, 20 adj of °, and x opp of °. Will use TAN.
1. Tan 52° = x/20
2. 20 Tan(52 into calculator
3. Round
x = 25.6
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
PROBLEM 6:
Given: 27°, opp of ° is 5, hyp is x. Will use Sin.
1. Write out as I have the last few times, Sin 27 = 5/x rewrite cause x can't be at the bottom.
2. Input into calculator as: 5/sin 27 which equals 11.01...
3. Round.
x = 11.0
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
PROBLEM 7:
Given: x°, 6 as hyp, 4 opp. now we have to solve this different since we don't know the degree. Now when we input into the calculator you will press 2nd, then sin/cos/tan so it will be negative this is depending on which one ur solving for.
We will be using SIN, x is still a °.
1. Sin X = 4/6 Rewrite.
2. X= Sin^-1 (4/6)
Make sure ur sin is negative in calculator when doing this.
3. It SHOULD give you 41.81, round.
x = 42°
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
PROBLEM 8:
Given: x°, 29 opp, 14 adj. TAN.
1. Tan x°= 29/14 or..
2. X = Tan^-1(29/14) solve..
3. gives u 64.23.... round.
x = 64°
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
PROBLEM 9:
Given: x°, hyp 54, opp 12. SIN
1. Sin x°=(12/54)
2. X= Sin^-1(12/54) solve. (dont put x= into calculator.)
3. Don't Forget to round, answer unrounded: 12.839..
x = 13°
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
PROBLEM 10:
Given: x°, adj 25, hyp 40. COS
1. Cos x°=25/40 rewrite.
2. X= Cos^-1(25/40) Solve.
3. Round.
X= 51°
please i need HELPPP
Answer:
vertex point is (4,-6)
and it opens upwards as the coefficient of x is positive.
I assume B is the correct answer, good luck!
The average marks for 25 students in a mathematics was was 48.
what was the total marks scored by the students?
Answer:
total of the data points = 1200
Step-by-step explanation:
The 'average' of a data set is the total of the data points divided by the number of data points.
Here:
total of the data points
---------------------------------- = 48
25
Multiplying both sides of this equation by 25 yields:
total of the data points = 1200
Question 7(Multiple Choice Worth 2 points)
(Constant of Proportionality MC)
The equation g equals three fifths times m represents the proportional relationship of the number of gallons of water (g) used by a washing machine over a certain period of time, in minutes (m).
Create a written description for the equation.
For each minute the washing machine runs, it uses five thirds gallons of water.
For each minute the washing machine runs, it uses three fifths of a gallon of water.
For each gallon of water the washing machine uses, it runs for three fifths of a minute.
For each gallon of water the washing machine uses, it runs for 8 minutes.
The proportionality is a relation between two quantities. The equation for the given cases can be written as 3g = 5m, 5m = 3g, 5g = 3m and g = 8 m.
What is Proportionality?When two quantities have some dependence in their values they can be said to be proportional to each other.
It can be of two types such as direct and indirect.
The direct proportionality means the values of both the quantities are increasing or decreasing at the same time while the indirect proportionality implies that the value of one quantity is increasing while the other is decreasing.
Given that,
The number of gallons of water = g,
The number of minutes = m,
And, the equation for the given condition as,
g = 3 / 5 m
The equation for each minute the washing machine runs, it uses five thirds gallons of water is given as,
g = 5 / 3 m
=> 3g = 5m
The equation for each minute the washing machine runs, it uses three fifths of a gallon of water is given as,
m = 3 / 5 g
=> 5m = 3g
The equation for each gallon of water the washing machine uses, it runs for three fifths of a minute is given as,
g = 3 / 5 m
=> 5g = 3m
The equation for each gallon of water the washing machine uses, it runs for 8 minutes is given as,
g = 8 m
Hence, the equation for the given conditions can be written as,
3g = 5m, 5m = 3g, 5g = 3m and g = 8 m.
To know more about proportionality click on the following link,
https://brainly.com/question/22620356
#SPJ1
n
The graph of which function has a minimum located at (4, -3)?
O f(x) = - 5x2 + 4x - 11
f(x) = -2x? + 16x -35
O f(x) = 4x2 - 4x + 5
O f(x) = 2x2 - 16x + 35
9514 1404 393
Answer:
(d) f(x) = 2x^2 - 16x + 35
Step-by-step explanation:
The x-coordinate of the extreme will be found at ...
x = -b/(2a)
where the function is f(x) = ax²+bx+c.
The extreme will be a minimum when a > 0. (eliminates choices A and B)
The x-coordinates of the extremes are ...
C: -(-4)/(2(4)) = 1/2
D: -(-16)/(2(2)) = 4 . . . . . matches the requirement
The appropriate choice is ...
f(x) = 2x^2 - 16x + 35
To find the length of JK you’d set up and solve:
According to the statement, to find x, it is necessary to use the following expression:
\(7x=3x+14\)This expression is set up thanks to the definition of a parallelogram. To solve it isolate x to one of the sides of the equation.
\(\begin{gathered} 7x=3x+14 \\ 7x-3x=14 \\ 4x=14 \\ x=\frac{14}{4} \\ x=3.5 \end{gathered}\)x has a value of 14/4 or 3.5.
According to the figure JK measures 7 times x. Use this information to find JK:
\(\begin{gathered} JK=7x \\ JK=7(3.5) \\ JK=24.5 \end{gathered}\)JK measures 24.5.
I need help with this
Answer: 473 square meters
Step-by-step explanation:
Question 4tiple Choice Worth 5 points)
(07.03 MC)
Circle A has center of (6, 7) and a radius of 4, and circle B has a center of (2, 4) and a radius of 16. What steps will help show that circle A is similar to circle B?
O Translate circle A using the rule (x+4y+3)
O Rotate circle A 45" about the center
O Dilate circle A by a scale factor of 4
O Reflect circle A about the origin
Answer:
Dilate circle A by a scale factor of 4.
Step-by-step explanation:
To show that two circles are similar, use transformations to map one to the other.
Step 1
Translate circle A so that its center is the same as circle B.
Center of circle A = (6, 7)Center of circle B = (2, 4)Translate circle A using the rule (x - 4, y - 3)
Step 2
Find the scale factor needed to dilate circle A to the size of circle B using the radii of the circles.
Radius of circle A = 4Radius of circle B = 16⇒ scale factor = 16 ÷ 4 = 4
Dilate circle A by a scale factor of 4.
Therefore, the only answer option that is correct is:
Dilate circle A by a scale factor of 4.
Julio tested the point (4, –2) to see whether it is a solution to this system of equations.
–3x – 2y = –8,
y = 2x – 5
His work is shown below.
Negative 3 (4) minus 2 (negative 2) = negative 8. Negative 12 + 4 = negative 8. Negative 8 = negative 8. Therefore, (4, negative 2) is a solution to the system.
Did Julio verify the solution?
No. He substituted 4 and –2 for the wrong variables.
No. He did not check the point in the second equation.
No. He simplified the equation incorrectly.
Yes. He verified that (4, –2) is a solution to the system of equations.
Answer:
the answer is B on edge
Step-by-step explanation:
B. No. He did not check the point in the second equation
can i get brainly so i can rank up?
Answer:
Like I said B
Step-by-step explanation:
How many
1/4-foot cubes would fill the inside of the prism?
Write the answer in the box.
There are 4 cubes of size 1/4 foot would fill the inside of the prism.
We have to given that;
Height of cuboid = 3 feet
Length of cuboid = 3/4 feet
Width of cuboid = 1/2 feet
We know that;
Volume of cuboid = Length x width x height
Hence,
V = 3/4 x 3 x 1/2
V = 9/8
Thus, Number of 1/4-foot cubes which would fill the inside of the prism is,
= (9/8) ÷ (1/4)
= (9/8) x 4
= 9/2
= 4.5
Thus, There are 4 cubes of size 1/4 foot would fill the inside of the prism.
Learn more about the cuboid visit:
https://brainly.com/question/26403859
#SPJ1