Answer:
155°
Step-by-step explanation:
We know that the sum of the sections must be 360°. So, by removing a section of 75° he leaves the paper circle with a section of 185°, then removes another 130° section, leaving the last section of 155°.
Find the perimeter of the right triangle if necessary round to the nearest tenth 11cm 13cm a. 17 cm b. 41 cm c. 48 cm d. 78.5 cm
The perimeter of the right triangle is 41 centimetres.
How to find the perimeter of a right triangle?The right triangle have sides 11 centimetres, and 13 centimetres. Therefore, let's find the third side before finding the perimeter of the right triangle.
Hence, let's find the third side using Pythagoras's theorem.
Therefore,
c² = a² + b²
where
c = hypotenuse sidea and b are the other legsTherefore,
11² + 13² = c²
121 + 169 = c²
c = √290
c = 17.0293863659
c = 17.03 cm
Hence,
perimeter of the right triangle = 11 + 13 + 17.03
perimeter of the right triangle = 41.0293863659
perimeter of the right triangle = 41 cm
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The perimeter of the triangle is 41 cm
How to calculate the perimeter of the triangleTo calculate the perimeter of a right triangle, we must add up the lengths of all three sides.
Assuming the sides are
opposite, a = 11 cm
adjacent, b = 13 cm
hypotenuse, c = ?
we can apply the Pythagorean theorem which determines the hypotenuse's length. The hypotenuse is recognized as the third side within a right triangle.
This principle mathematical expression reads:
c^2 = a^2 + b^2
c^2 = 11^2 + 13^2
c^2 = 121 + 169
c^2 = 290
c = sqrt(290)
c = 17
Solving for perimeter
Perimeter = a + b + c
Perimeter = 11 cm + 13 cm + 17 cm
Perimeter = 41 cm
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Belle deposited money into a savings account. This table gives the value of her account for the first 14 months after the initial deposit. The data can be modeled using an exponential function.
Years 2 4 6 8 10 12 14
Account value $106 $113 $119 $126 $135 $143 $152
Based on the data, which amount is closest to the value of the account 24 months after the initial deposit?
$180
$200
$240
$280
Answer:
The answer is B 200
Step-by-step explanation:
i just took the test so yah :)
An old road was 3.9 miles long. After a renovation it is 7.8 miles long. How many times as long is the road after the renovation than before?
Answer:
2 times. 3.9x2=7.8
Step-by-step explanation:
3+3=6
0.9+0.9=1.8
6+1.8=7.8
I will mark brainlist
Find the geometric mean between 18 and 7. Write your answer in radical form.
• 3 square root of 14
• 126
• 9 square root of 7
• 128
Answer:
answer is A
I hope this helps!
The table shows the proof of the relationship between the slope of two perpendicular lines what is the mission statement instead of five
When the table shows the proof of the relationship between the slopes of two perpendicular lines, the missing statement in step 2 is AB/CE = ED/BC.
How to illustrate the information?In this question you apply the side-Angle-side similarity property that makes the two right triangles similar.
In this property, the lengths of the corresponding legs of the two right triangles are proportional.
Therefore, Leg AB corresponds to leg CE
Leg ED corresponds to leg BC.
Therefore, it should be noted that AB/CE = ED/BC.
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The table shows the proof of the relationship between the slopes of two perpendicular lines. What is the missing statement in step 2?
A. AB/BC = ED/CE
B. AB/CE = BE/ED
C. AB/BC = CE/ED
D. AB/CE = ED/BC
pls help a gurlll out
Answer:
x = 15°
Step-by-step explanation:
165 and x are on a straight line which means they are supplementary.
Set up the equation and solve for x:
165 + x = 180
x = 180 - 165
x = 15
Graph each equation using the intercepts. Re-write in standard form first if necessary 2x-y=-42x=-4X=-2(2,0)O-y- -4Y=4(0,4)
EXPLANATION:
Given;
We are given the linear equation below;
\(2x-y=-4\)Required;
We are required to graph the equation of the line using the intercepts.
Step-by-step solution;
The graph of a line in standard form is given as;
\(Ax+By=C\)Note that the equation given already satisfies this condition. We can re-arrange the equation in the slope-intercept form which is;
\(y=mx+b\)We now have the following;
\(\begin{gathered} 2x-y=-4 \\ Subtract\text{ }2x\text{ }from\text{ }both\text{ }sides: \\ -y=-4-2x \\ Multiply\text{ }all\text{ }through\text{ }by\text{ }-1: \\ \\ y=4+2x \\ OR \\ y=2x+4 \end{gathered}\)We can plot for at least 2 points by using the intercepts, that is when x = 0 and when y = 0;
\(\begin{gathered} When\text{ }x=0: \\ y=2(0)+4 \\ \\ y=4 \end{gathered}\)Also,
\(\begin{gathered} When\text{ }y=0: \\ 0=2x+4 \\ Subtract\text{ }2x\text{ }from\text{ }both\text{ }sides: \\ -2x=4 \\ Divide\text{ }both\text{ }sides\text{ }by\text{ }-2: \\ x=-2 \end{gathered}\)We now have the points;
\((0,4)\text{ }and\text{ }(-2,0)\)We can now plot these on a graph paper, and then extend the line at both ends. That is at the point where you have (-2, 0), we can draw the line continuously to the left and from the point where you have (0, 4), you can also draw the line continuously to the right.
With the aid of a graphing tool, the graph will come out like the one shown below;
ANSWER:
PLEEEEAAASSEE HELP I AM AWFUL AT MATH
Answer:
the first one is 3.3 the next one is 2.5 the next one is 0.7 the next one is 2.1 hope this helps
Step-by-step explanation:
Pls help I need this answer now As part of a class project, a university student surveyed the students in the cafeteria lunch line to look for a relationship between eye color and hair color among students. The table below contains the results of the survey.
Rounding the answer to two decimal places, the relative frequency of students with red hair among the sample population of students with gray eyes is approximately 0.63. Option D
To find the relative frequency of students with red hair among the sample population of students with gray eyes, we need to divide the number of students with gray eyes and red hair by the total number of students with gray eyes.
From the given table, we can see that there are 22 students with gray eyes and red hair.
The total number of students with gray eyes is the marginal total for gray eyes, which is 35.
To find the relative frequency, we divide the number of students with gray eyes and red hair by the total number of students with gray eyes:
Relative frequency = Number of students with gray eyes and red hair / Total number of students with gray eyes
Relative frequency = 22 / 35
Simplifying the fraction, we have:
Relative frequency = 0.6286
Rounding the answer to two decimal places, the relative frequency of students with red hair among the sample population of students with gray eyes is approximately 0.63.
Therefore, the correct answer is option OD) 0.63.
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What is the vertical displacement of the basic graph to produce a graph of
OA Sunits down
B. 2 units down
OC units down
OD
units up
SUBMIT
The vertical displacement is of 2 units down, the correct option is B.
What is the vertical displacement?Remember that for a function f(x), a vertical displacement of N units is written in general form as:
g(x) = f(x) + N
If N > 0, the translation is upwards.
if N < 0, the translation is downwards.
Here we assume that we start with the parent cosine function:
y = cos(x)
And the transformed function is:
y = -2 - cos(x - π)
So we have some transformations, but the vertical translation is of 2 units down. So the correct option is B.
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please help me with my online classwork!
Answer:
840 cm²---------------------------
There are two triangular faces with base of 16 cm and height of 15 cm and three rectangular faces.
Find the sum of areas of all five faces:
S = 2*(1/2)*16*15 + (17*2 + 16)*12 = 240 + 600 = 840How do I slove this question? I really need to find the correct answer please do help.
And provide an educated example.
Answer:
C,D,F
Step-by-step explanation:
I’ll give brainliest don’t solve just check!
Answer:
Yep
Step-by-step explanation:
Yep. Checking this, all of these are correct. Range on parabolas and absolutes will always go to infinity. Nice work
PLEASE ANSWER
At Shoe Carnival a pair of shoes costs $83.05. How much do the shoes
cost after a 15% discount? *
Answer:
$70.59
Step-by-step explanation:
15% of $83.05 = 12.4575$83.05 - $12.4575 = $70.59I hope this helps!
What is the midpoint of AB?
Answer:
midpoint is (-1,4.5)
Step-by-step explanation:
Use the midpoint formula: \(\left(\frac{x_1+x_2}{2}\right),\:\left(\frac{y_1+y_2}{2}\right)\)
x coordinate of midpoint equals [(-4) + (2)]/2 = -1
y coordinate of midpoint equals [(4) + (5)]/2 = 4.5
6x^2+7+x-x^2 what is this ?
Answer:
5x^2 + x + 7.
Step-by-step explanation:
6x^2 + 7 + x - x^2
= (6x^2 - x^2) + (x + 7) // Rearranging the terms
= 5x^2 + x + 7
So, 6x^2 + 7 + x - x^2 simplifies to 5x^2 + x + 7.
Find the smallest positive integer that satisfies both of the following equations: = 3 (mod4) and = 5 (mod6)
Answer:
x=3mod4
Means that when x is divided by 4 it gives an unknown integer and a remainder of 3.
x/4 = Z + 3/4
Z= (x-3)/4
Where Z is the integer
x=5 mod6
x/6 = Y + 5/6
Y = (x-5)/6
Where Y is the integer
Z-Y must be an integer on equal to zero
(x-3)/4 - (x-5)/6
3(x-3)/12 - 2(x-5)/12
(3x-9-2x+10)/12
(x+1)/12
If it is equal to 0
x=-1. But x should be positive
If it is equal to 1
x=11
Hence the smallest possible number is 11
Help me with this question please
Answer:
1 blank. 24
2 blank. 42
3 blank. 56
Step-by-step explanation:
This question is a matter of ratios
The ratio being 7:6
7= # of hamburgers
6= # of hotdogs
To find each answer, you have to set the ratios equal to each other
7/6=28/?
7 times what equals 28
7 times 4 equals 28, so then you multiply 4 by 6 to get you number of hotdogs in that equation
You'll repeat the process for all the other equations as well
To repair a leak a plumber needs a pipe that is within of an inch of 32 inches. He already has a 48-inch pipe.
Use the variable to represent the length of the extra (scrap) that is removed from the 48-inch pipe. Express all possible lengths for this scrap as a compound inequality.
All possible lengths for the scrap (x) are given by the compound inequality -15 ≤ x ≤ -1 which means that the scrap could be as short as 1 inch and as long as 15 inches.
Solution: Let us represent the length of the extra (scrap) that is removed from the 48-inch pipe by the variable "x".
Since the plumber needs a pipe that is within of an inch of 32 inches, therefore the extra (scrap) that is removed from the 48-inch pipe should have a length such that:(32-1) ≤ (48 - x) ≤ (32+1)47 ≤ (48 - x) ≤ 33- x ≤ -15 (Subtracting 48 from all the sides)-15 ≤ x ≤ -1 (Multiplying all the sides by -1 and reversing the inequality signs)
Thus, all possible lengths for the scrap (x) are given by the compound inequality -15 ≤ x ≤ -1 which means that the scrap could be as short as 1 inch and as long as 15 inches.
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33How many class periods that are of an hour long will fit into a 6-hour school day? Assume that the class period includes time to pass between classes.4.O 6O7O907
In order to find the amount of periods we divide te total time over how long is each of the perios
\(undefined\)A satellite orbits the Earth with an elliptical orbit modeled by x squared over 47 million four hundred seventy two thousand one hundred plus y squared over forty four million two hundred twenty two thousand five hundred equals 1 comma where the distances are measured in km. The Earth shares the same center as the orbit. If the radius of the Earth is 6,370 km, what is the maximum distance between the satellite and the Earth?
The maximum distance between the earth and the satellite orbit with an elliptical orbit is 520 km.
In the question, we are given that a satellite orbits the Earth with an elliptical orbit modeled by x squared over 47 million four hundred seventy two thousand one hundred plus y squared over forty four million two hundred twenty two thousand five hundred equals 1, where the distances are measured in km. The Earth shares the same center as the orbit.
We are asked to find the maximum distance between the satellite and the Earth if the radius of the Earth is 6,370 km.
Given elliptical form is:
x²/47,472,100 + y²/44,222,500 = 1,
or, x²/6,890² + y²/6,650² = 1.
The radius of the Earth, R = 6,370 km.
We know that the standard elliptical form is:
(x - h)²/a² + (y - k)²/b² = 1, Where, in a horizontal ellipse;
a = The major axis (the longer axis), which gives the maximum distance between the satellite and Earth.
b = The minor axis (the shorter axis).
On comparing the given elliptical form to the standard elliptical form, we get a = 6,890.
The distance between the satellite and the surface of the Earth, d, is given as follows:
d = a - R
Which gives;
d = 6,890 km - 6,370 km = 520 km.
Thus, the maximum distance between the earth and the satellite orbit with an elliptical orbit is 520 km.
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plz help me with this math plzzzz
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
0.6 = \(\frac{2}{3}\)
\(\frac{1}{7}\) = 0.142857
0.05 = \(\frac{1}{18}\)
0.5 = 0.25
I'm unsure on the last one sorry if it's wrong.
Can someone help me? It would mean the world if u helped me have a nice day! <3
500 ml water 4 times a day = 500x4= 2000 ml water per day
there are 7 days in a week so,
2000 x 7 = 14000 ml
1000mililitre = 1 litre
14000ml = 14 L per week
what is 1+1? pls, I need help. its for school
Answer:
its 2 :)
Step-by-step explanation:
Answer:
oh what a stiff XD
Step-by-step explanation:
ok 1+1=2 lol ❤️✌️ hey where you from I'm anmol kulkar from India
WILL MARK BRAINLIEST!!!
A fireworks rocket is launched from a hill above a lake. The rocket will fall into the lake
after exploding at its maximum height.
The rocket's height above the surface of the lake is given by:
g(x) = -16x² + 64x + 80
How long does it take for the rocket to reach its maximum height?
2 seconds
Explanation:Equation: g(x) = -16x² + 64x + 80
In order to find the maximum:
vertex : -b/2a
= -64/2(-16)
= -64/-32
= 2
Maximum Height:
= -16(2)² + 64(2) + 80
= 144 ft
The vertex should be maximum as a is negative and parabola opening downwards
So
x coordinate of vertex
-/2a-64/-322y coordinate is max height
-16(2)²+64(2)+80-16(4)+128+80-64+128+80128+16144ftVertex at (2,144)
The rocket would take 2s
Jemma and Debra work as consults. They both get hired for jobs. Jemma charges a fee of $5 plus an additional $22 per hour. Debra charges $20 per hour. Write an expression that
Answer:
Jemma: 22x + 5
Debra: 20x
Step-by-step explanation:
Find the 8th term of the geometric sequence whose common ratio is
1/3
and whose first term is 5.
Answer: 5/2187
Step-by-step explanation: The equation for geometric sequence is (a (subroot) n = a (subroot) 1) x ratio^(n-1).
a (sub) n = a (sub) 8a (sub) 1 = 5ratio = 1/3(n-1) = 7at present Ankit is twice as old as his son in four years he will be four times as old as what his son was 9 years ago find the present years of both of them
Answer:
His son present age is 20 years
His present age is 40 years
Step-by-step explanation:
Assume that this son's age now is x years
∵ His son's age now = x years
∵ Ankit age is twice as old as his son
→ Twice means × 2
∴ Ankit age = 2 × x = 2x years
→ In for years means after 4 years (add)
∵ His age in four years = 2x + 4
→ 9 years ago means before 9 years (subtract)
∵ His son 9 years ago = x - 9
∵ In 4 years he will be four times as old as what his son was 9 years ago
→ That means 2x + 4 = 4 × (x - 9)
∴ 2x + 4 = 4(x - 9)
→ Let us solve the equation to find x
∴ 2x + 4 = 4(x) - 4(9)
∴ 2x + 4 = 4x - 36
→ Subtract 4 from both sides
∵ 2x + 4 - 4 = 4x - 36 - 4
∴ 2x = 4x - 40
→ Subtract 4x from both sides
∵ 2x - 4x = 4x - 4x - 40
∴ -2x = -40
→ Divide both sides by -2
∵ \(\frac{-2x}{-2}\) = \(\frac{-40}{-2}\)
∴ x = 20
∵ x represents the present age of his son
∴ His son present age is 20 years
∵ 2x represents his present age
∵ 2(20) = 40
∴ His present age is 40 years
The cost of 5 kg of potatoes is £3.20
The cost of 0.5kg of carrots is 29p
Work out the total cost of 12 kg of potatoes and 1.5 kg of carrots.
Answer:
12kg=7.68
1.5=87
Step-by-step explanation:
I found the cost per kg
Use the information to answer the question. The table shows the amount of lemon juice and water that 4 students mix. Student Luca Kal Jenna Micah Lemon Juice Water (fluid ounces) (fluid ounces) 2 6 4 6 10 8 9 B Which two students mix the same ratio of lemon juice to water? Choose two students to show the answer.
The two students that mix the same ratio of juice to water is given as follows:
A. Luca.
D. Micah.
How to obtain the ratio between two amounts?The ratio between two amounts a and b is given as follows:
a to b.
Which is also the division of the two amounts.
Hence the ratio of juice to water for each person is given as follows:
Luca: 2/6 = 1/3.Kal: 6/10 = 3/5.Jenna: 4/8 = 1/2.Micah: 3/9 = 1/3.Hence Luca and Micah used the same ratio, meaning that options A and D are correct.
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