Answer:
20 feet.
Step-by-step explanation:
Pythagoreans theorem states that a^2 + b^2 = c^2
a = 12, squared = 144
b = 16, squared = 256
144 + 256 = 400
√400 = 20
20 feet is the answer.
Hope this helps.
The ratio of the number of red balls to yellow balls in a bag is 4:5. There are 270 balls in
the bag. Which statement is TRUE?
Answer:The ratio of the number of red balls to yellow balls in a bag is 4:5 there are 270 balls in the bag
Step-by-step explanation:
As per linear equation, there are 120 red balls and 150 yellow balls in the bag.
What is a linear equation?A linear equation is an equation that has one or multiple variables with the highest power of the variable is 1.
Given, the ratio of the number of red balls to yellow balls in a bag is 4:5. There are 270 balls in the bag.
Let, there are 4x red balls in the bag.
Therefore, there are 5x yellow balls in the bag.
Now, (4x + 5x) = 270
⇒ 9x = 270
⇒ x = 270/9
⇒ x = 30
The number of red balls = 4x = 4 × 30 = 120.
The number of yellow balls = 5x = 5 × 30 = 150.
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Evaluate the expression.
-7- (-6) + 4
a. 5
b. 3
c. -17
d. -9
4(5) + 5(6) - (-4/-2)
.
just to help keep the signs straight, but there is nothing wrong with the way you did it.
.
Now you can just start simplifying ... term by term. Multiply the 4 times the 5 and you get:
.
20 + 5(6) - (-4/-2)
.
Then multiply the 5 times the 6:
.
20 + 30 - (-4/-2)
.
Next divide the terms in the parentheses. -4 divided by -2 is +2 and you have:
.
20 + 30 - (+2)
.
When you remove parentheses preceded by a minus sign, you change the signs of the terms
inside the parentheses. So - (+2) becomes -2 when the parentheses are taken out and the
expression becomes:
.
20 + 30 - 2
.
Now add the three terms and the result is +48
.
Hope this clarifies the problem for you. Good job ...
.
Look at the equations below. Find a pair of equations whose lines are perpendicular.
The pair of equations whose lines are perpendicular is (d) y = 1/6x + 3; y = -6x - 3
Find a pair of equations whose lines are perpendicular.from the question, we have the following parameters that can be used in our computation:
The pair of equations
By definition;
The slopes of perpendicular lines are opposite reciporcals
So, we have
(a) -1/3 and -3 false
(b) -3 and -6 false
(c) 3 and 3 false
(d) 1/6 and -6 true
Hence, the equations are (d) y = 1/6x + 3; y = -6x - 3
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hi guys can you guys help me with this and answer and explain plss
Answer:
draw 3cm lines each sides and you get the rectangle
Step-by-step explanation:
it's 3cm because a rectangle has 4 side when you divide 12cm by 4cm you get 3cm
Write and evaluate the expression. Then, complete the statements.
A 1-column table with 5 rows. Column 1 is labeled Multiplication Words with entries double, multiply, product, twice, times.
Yuna ran three times as many kilometers.
Evaluate when k = 12.2.
Answer:
Write and evaluate the expression. Then, complete the statements.
A 1-column table with 5 rows. Column 1 is labeled Multiplication Words with entries double, multiply, product, twice, times.
Yuna ran three times as many kilometers.
Evaluate when k = 12.2.
First, write the expression as
✔ 3k
.
Second,
✔ substitute
12.2 in for the variable, k.
Third,
✔ simplify
by
✔ multiplying
3 and 12.2.
The answer is
✔ 36.6
Since Yuna ran three times as many kilometers so here expression should be 3k and the answer is 36.6
The writing and evaluating the expression:Expressions are considered to be mathematical statements that have at least of two terms comprised of numbers or variables that should be linked. It could be of addition, subtraction, multiplication, or division.
First, write the expression as 3k
Second, substitute 12.2 in for the variable, k.
Third, simplify by ✔ multiplying 3 and 12.2.
And, finally, The answer is 36.6
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Select the correct answer.
The variable s varies directly as the square of t. When s= 4, t= 12. Nick's work finding the value of twhen s = 48 is shown:
s = kt2
12 = k : 42
12 = 16k
0.75 = k
48 = 0.752
64 = t2
8 = t
What is the first error, if any, in Nick's work?
OA. He did not make any errors.
ОВ. He used an equation that models inverse variation instead of direct variation.
OC. He substituted incorrectly when calculating the constant of variation.
OD.
He made an error when isolating t.
Its C. He substituted incorrectly when calculating the constant of variation.
Reason: He said so
The first error in Nick's work is he substituted incorrectly when calculating the constant of variation. The correct answer is C.
What is variable?The unknown term which is need to be calculated using system of equations is called variable.
Given s= 4, t= 12 to calculate value of k in the equation
s = kt²
4 = k (12)²
k = 0.02777
Thus, the first error he made is substituted incorrect values while calculating constant k.
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There are a total of 15 marbles in a hat, some are red and some are green. The probability that you draw a green marble is 0.8, what are the ODDS against drawing a green marble?
Answer:
0.2 or 20%
Step-by-step explanation:
The odds that you are going to draw a green marble is 80%, so therefore, the remaining percentage should be 20%.
I hope this helps!
Question 3 of 5
What is the equation of the line through (2. - 4) and (0,4)?
A. y=-4x - 4
B. y=-4x+4
O C. y= 4x+ 4
O D. y=4x - 4
Which of these expressions is equivalent to 30b2?
A 3b + 10b
B 3b. 10b
c9b +21b
D 9b21b
Answer:
B) 3b. 10b
Step-by-step explanation:
B) 3b. 10b = (3x10)(bxb) = 30b²
The price of a chocolate rose by 25%. By what% will it be reduced in order for the goods to be sold at the initial price?
The owner of an ice cream shop surveyed customers about their favorite ice cream flavor. The number of customers who said that they favored vanilla was 96. This number represents 80% of the customers the owner surveyed. What was the total number of customers the ice cream shop owner surveyed?
Answer:
120 is the total number :D
Step-by-step explanation:
96 = 80%
Now I will try and find 1% so I can multiply it by 100 to get 100%, or total.
\(\frac{96}{80} = \frac{80}{80}\)
1.2 = 1%
Now we need a 100%, multiply by 100.
120 = 100%
120 is the total number :D
BTW, if you have access to a calculator, you can plug this in: 96/(80/100) :D
PLs help me find the surface area of the box thxsssss
Answer:
290 in^2
Step-by-step explanation:
front side x 2 = 176
top + bottom = 48
sides x 2 = 66
Sum = 290
Answer:
Total surface area S_tot = 290 in² thus c. is your answer
Step-by-step explanation:
length l = 8 in
width w = 3 in
height h = 11 in
diagonal d = 13.9283883 in
total surface area S_tot = 290 in²
lateral surface area S_lat = 242 in²
top surface area S_top = 24 in²
bottom surface area S_bot = 24 in²
volume V = 264 in³
Formula and Agenda:
Formulas for a rectangular prism:
Volume of Rectangular Prism:
V = lwh
Surface Area of Rectangular Prism:
S = 2(lw + lh + wh)
l = length
w = width
h = height
d = diagonal
S_tot = total surface area
S_lat = lateral surface area
S_top = top surface area
S_bot = bottom surface area
V = volume
Which relation is also a function?
Plz help due now will mark as brainliest‼️
in the diagram below,
21 and 22 are complementary. If the measure of 21 is 25°, what is the measure of 23?
A. 115°
B. 105°
C. 65°
D 155°
Answer: A
Step-by-step explanation:
(7x³ + x² + x) divided by (x² + 1)
Answer:
Q=7x+1, R=-6x-1
Step-by-step explanation:
7x + 1
----‐----------------------------
x² + 1 | 7x^3 + x^2 + x
-) 7x^3 +7x
---‐---‐----------------------------
x^2 -6x
-) x^2 +1
--------------------
-6x-1
please help with this
Select the polynomial that is
a perfect square trinomial.
A. 36x^2 4x + 16
B. 16x^ 2 - 8x + 36
C. 25x^2 + 9x + 4
D. 4x^ 2 + 20x + 25
Answer:
D. 4x^2 + 20x + 25
Step-by-step explanation:
The square of a binomial is ...
(a +b)² = a² +2ab +b²
ApplicationThe trinomial will be a perfect square if the linear term is twice the product of the square roots of the other two terms.
A. √(36x^2) = 6x; √16 = 4; double the product is 2(6x)(4) = 48x, not 4x
B. √(16x^2) = 4x; √36 = 6; double the product is 2(4x)(6) = 48x, not 8x
C. √(25x^2) = 5x; √4 = 2; double the product is 2(5x)(2) = 20x, not 9x
D. √(4x^2) = 2x; √25 = 5; double the product is 2(2x)(5) = 20x, a match
The perfect square trinomial is 4x² +20x +25.
__
Additional comment
The square (a -b)² is a² -2ab +b². That is, the sign of the linear term is the sign of the binomial. The square roots can be positive or negative, so the same logic as above can be used to determine if the magnitude of the linear term is correct.
Strictly speaking, the middle term is "linear" only if one of 'a' or 'b' is linear (first degree in one variable).
the average height for 15 year old boy is
The average height for a 15-year-old male in the United States is roughly 5 feet, 7 inches, according to the Centers for Disease Control and Prevention (CDC) growth charts (170 cm). Some 15-year-old guys may be shorter or taller than usual.
Height is a measure of the distance between the base of an object and its highest point. Human height is commonly described as the vertical distance between the bottom of the feet and the top of the head. Height is generally measured in centimetres or feet and inches. Height is an important physical feature that can be influenced by both inherited and environmental factors such as nutrition and physical activity.
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A right cylinder has a radius of 5 and a height of 9. What is its surface area? O A. 72 units O B. 90 units O c. 45rt units O D. 108r units
The formula to find the surface area of a cylinder is:
\(\begin{gathered} SA=2\pi r^2+2\pi rh\text{ } \\ \text{ Where} \\ SA\text{ is the surface area} \\ r\text{ is the radius} \\ h\text{ is the height} \end{gathered}\)In this case, we have:
\(\begin{gathered} r=5 \\ h=9 \end{gathered}\)\(\begin{gathered} SA=2\pi r^2+2\pi rh \\ SA=2\pi(5^2)+2\pi(5)(9) \\ SA=2\pi(25)+90\pi \\ SA=50\pi+90\pi \\ SA=140\pi \end{gathered}\)AnswerB. 140π units²
Kelsey surveyed the 17 shoppers who spent the most at her boutique last month.
Is this a random sample of the shoppers at the boutique?
PLLLLLLLSSS! I NEED THIS ASAP!
Reason: The sample is biased toward the people who spent the most money. It leaves out people who didn't spend as much money, so the sample is not representative. A better survey method would be to randomly select names out of a hat.
There are 150 employees in a factory.(2/3)of the employees are males. Then, 20 male employees and 10 female employees are resigned. A employee is chosen at random from the remaining employees. Find the probability of choosing a female employee.
===================================================
Explanation:
2/3 of 150 = (2/3)*150 = 100 employees are male and 150-100 = 50 employees are female. This is before the resignations.
After the resignations happen, we would have:
100-20 = 80 males remain50-10 = 40 females remain80+40 = 120 employees remain.The chances of picking a female employee at random would be 40/120 = 1/3 which is the final answer.
Notice how the chances haven't changed from earlier (male = 2/3 chance, so 1-2/3 = 1/3 are the chances of picking a woman). Why is this? Well notice the ratio of 20 men to 10 women resigning. This ratio is 2:1, meaning twice as many men resigned. Furthermore, notice how 2/3 is twice that of 1/3.
This keeps the same proportion of men to women. Therefore, the odds haven't changed.
2. Estefan wanted to buy a stereo that was half-off the regular price of $150. How much was the stereo's sale price?
The Selling Price of the Stereo will be $75
What is Selling Price and Cost Price?Cost Price is defined as the amount that is paid to purchase an article or the price at which an article is made is known as its cost price. The cost price can be abbreviated as C.P.
Selling Price is defined as the price at which an article is sold to the customer. The selling price is abbreviated as S.P.
Profit and Loss can be estimated through Selling Price and Cost Price.
Profit =Selling Price-Cost Price ,only when the selling price is greater than the Cost price.
Loss= Cost Price- Selling price , only when the cost price is greater than the Selling price.
Step by step explanation
As we know that the Cost Price=$150
and Selling Price is 50% of Cost Price
∴Sale Price will be $75
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Which of the following statements justifies why the triangle shown below is not a right triangle?
Answer:
C.
Step-by-step explanation:
15^2 not = 6^2 + 11^2.
Paul purchases an antique circular frame for his mom for Mother's Day. The diameter of the frame is 18 cm. What is the area of the bowl
Answer:
254.34cm²
Step-by-step explanation:
the bowl is shaped is shaped in the form of a circle
Area of the bowl is equal to the area of a circle
area of a circle = πr²
π = 3.14
r = 18/2 = 9
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
3.14 x 9² = 254.34cm²
An LU-Decomposition Of A Matrix A Is Given. 2 -1 3 4030 A = 1 -8 -1 1 1 0 0 2 -1 A = LU = ;][ 0 5 2 1 -4 -1 -5 1 0 0 (A) Compute L-¹ And
What is a scenario for y= 4x+2
Answer:
a club has 2 dollar down payment and 4 $ per week how much money is owed after 2 weeks
Step-by-step explanation:
ly| ≤3
Are the lines on graph at 3 and -3 also part of the answer?
Answer:
Yes, the lines on the graph at 3 and -3 a part of the solution,
Step-by-step explanation:
The inequality \(|y| \leq 3\) contains all the values of \(y\) 3 units from the origin including the values 3 and -3.
Thus, the lines on the graph y =-3 and y = 3 are the part of the solution.
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Based on the given angle measures, which triangle has side length measures that could be correct? A right triangle is shown. The length of the hypotenuse is 16, the base is 8, and the other side is 13.9. The top angle is 60 degrees and the bottom right angle is 30 degrees. A right triangle is shown. The length of the hypotenuse is 13.9, the base is 8, and the other side is 16. The top angle is 60 degrees and the bottom right angle is 30 degrees. A right triangle is shown. The length of the hypotenuse is 13.9, the base is 16, and the other side is 8. The top angle is 60 degrees and the bottom right angle is 30 degrees. A right triangle is shown. The length of the hypotenuse is 16, the base is 13.9, and the other side is 8. The top angle is 60 degrees and the bottom right angle is 30 degrees.
Answer:
A right triangle is shown. The length of the hypotenuse is 16, the base is 13.9, and the other side is 8. The top angle is 60 degrees and the bottom right angle is 30 degrees.
Step-by-step explanation:
The measures of the angles of in a triangle should correspond to the length size of the side opposite each angle in a triangle.
In simple terms, this means that the larger the measure of an angle, the longer the length of the side opposite that angle. Therefore, the smallest measure of an the 3 angles in the triangle should correspond with the shortest length.
Therefore, the triangle with the correct side length would be "A right triangle is shown. The length of the hypotenuse is 16, the base is 13.9, and the other side is 8. The top angle is 60 degrees and the bottom right angle is 30 degrees." Check the attachment below to see how each side length corresponds with each angle opposite them.
Answer:
D
Step-by-step explanation:
your welcome
five friends were comparing the height of their dogs. the heights at the shoulders were 400mm, 370mm, 470mm, 330mm and 500mm. what is the standard deviation (nearest integer) of the heights of these dogs?: * a) 60mm b) 400mm c) 70mm d) 414mm e) 2070mm
If the heights of five dogs are 400 mm, 370 mm, 470 mm, 330 mm and 500 mm. Then the standard deviation of the heights of the dogs is:
c) 70 mm
Given:
five friends were comparing the height of their dogs.
the heights at the shoulders were 400mm, 370mm, 470mm, 330mm and 500mm.
we are asked to find out the standard deviation of the heights of these dogs = ?
First find mean :
(400+ 370+470 + 330 + 500)/5
Mean = 2070/5
Mean = 414
standard deviation = √∑(xi - mean)²/N-1
= √(400-414)²+(370-414)²+(470-414)²+(330-414)²+(500-414)²/4
= √(14)²+(-44)²+(56)²+(-84)²+(86)²/4
= √196+1936+3136+7056+7396/4
= √19720/4
= √4930
= 70.21
rounding it to the nearest integer.
= 70 mm
Hence we get the required standard deviation as 70 mm.
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A linear equation has ONE solution when the variable equals zero. Explain if this is a true or false statement and why?
GET BRAINLYY EXPLAIN
Answer: True.
Step-by-step explanation:
The statement is:
"A linear equation has ONE solution when the variable equals zero."
First, a generic linear equation can be written as:
y = a*x + b
Where a and b are known values.
If the variable equals zero, we have:
y = a*0 + b = b
y = b.
Then it has only one solution if x = 0.
So the statement is true, but it is also true for any value in the variable.
So if we rewrite it as (for example):
"A linear equation has one solution when the variable equals 4"
y = a*4 + b.
Because a and b are known, this equation also does have only one solution.
Answer:true
Step-by-step explanation: