A triangle has an area of 80 yd² and a height of 10 yd. How long is the base of the triangle?
Plz help this is my unit test

Answers

Answer 1

Answer:

16 yd. is the answer. Good luck with the test.

Step-by-step explanation:

A=b×h÷2

80=10×y÷2

160=10×y

16=y

16 yd.

Answer 2

Answer:

he base length of triangle = 16 yd

Explanation:

he base length of triangle = 16 yd

Step-by-step explanation:

Formula:-

Area of triangle

area A = bh/2

b - base of triangle

h - height of triangle

To find the area of triangle

It is given that,A triangle has an area of 80 yd^2 and a height of 10 yd.

here, b = ?, A = 80 yd^2  and h = 10 yd

A = bh/2

80 = (b*10)/2

5b = 80

b = 80/5 = 16

Therefore the base length of triangle = 16 yd


Related Questions

Solve this system of linear equations: 4x-2y=8 Y=3/2x-2

Answers

Final answer:

The solution to the system of equations is x = 4 and Y = 4.

Explanation:

To solve the system of linear equations, we can use substitution. Since we have the equation Y = 3/2x - 2, we can substitute this expression for Y in the first equation.

Substituting Y = 3/2x - 2 in 4x - 2y = 8:

4x - 2(3/2x - 2) = 8

Simplifying the expression:

4x - 3x + 4 = 8

x + 4 = 8

Solving for x:

x = 8 - 4

x = 4

Substituting the value of x into Y = 3/2x - 2:

Y = 3/2(4) - 2

Y = 6 - 2

Y = 4

Therefore, the solution to the system of equations is x = 4 and Y = 4.

Step-by-step explanation:

Got it right on edge. You can too

Which graph shows a system of equations that solves - 2/(x - 1) = 4 , and the solution itself?

Answers

Answer:The answer is A

Step-by-step explanation:

The solution is x = -2/5.

How to solve the equation?

The equation can be simplified by doing some algebra.

- 2/(x - 1) = 4

-2 = 4 (x-1)

-2 = 4x - 4

2 = 4x

x = 4/2

x= 0.5

What's an example of an equation?

An equation is a mathematical announcement that is made up of expressions connected by way of an identical sign. for instance, 3x – 5 = 16 is an equation. solving this equation, we get the fee of the variable x as x = 7.

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how can something me nonlinear

Answers

i won’t be a straight line

a group of rangers work 5 days per week. it takes them 4 days to plant trees on 1/2 acre.what is the unit rate per week

Answers

Final answer:

The unit rate at which the group of rangers plants trees is 5/8 of an acre per week, which is found by calculating the daily acreage planted and then multiplying by the number of workdays in a week.

Explanation:

To determine the unit rate per week of the group of rangers planting trees, we need to calculate how much of an acre they can plant in a standard work week. As it takes them 4 days to plant trees on 1/2 acre, they will plant 1/2 acre in every 4 days of work. Since they work 5 days per week, we can adjust the ratio to calculate the weekly rate:

1/2 acre in 4 days is equivalent to (1/2 acre)/(4 days).Now, find out how much is planted in 1 day: (1/2 acre)/(4 days) = 1/8 acre in 1 day.Finally, multiply by 5 to get the weekly amount: (1/8 acre) * 5 days = 5/8 acre per week.

Therefore, the unit rate at which the group of rangers plants trees is 5/8 of an acre per week.

Kona’s mother wanted to find out how many minutes her family spends on the phone for each call made. She put her data in a table after a week of observation as shown below. She asked Kona to make a histogram from the data.

Minutes
Number of Calls
1 - 5
2
6 - 10
5
11 - 15
6
16 - 20
10
21 - 25
7
26 - 30
2
31 - 35
1
36 - 40
0
41 - 45
2
46 - 50
1

Which chart has the correct setup for Kona’s histogram?
A 2-column table with 4 rows tilted Time on Phone. Column 1 has entries interval use, appropriate scale, vertical axis represents, horizontal axis represents. Column 2 has entries 10, 0 to 12, minutes on phone, number of calls.
A 2-column table with 4 rows tilted Time on Phone. Column 1 has entries interval use, appropriate scale, vertical axis represents, horizontal axis represents. Column 2 has entries 10, 1 to 12, number of calls, minutes on phone.
A 2-column table with 4 rows tilted Time on Phone. Column 1 has entries interval use, appropriate scale, vertical axis represents, horizontal axis represents. Column 2 has entries 5, 1 to 12, minutes on phone, number of calls.
A 2-column table with 4 rows tilted Time on Phone. Column 1 has entries interval use, appropriate scale, vertical axis represents, horizontal axis represents. Column 2 has entries 5, 0 to 12, number of calls, minutes on phone.

Answers

Answer:

D—

The histogram will have a horizontal or an x axis of time/minute intervals of the calls (5 minutes in each), and the vertical axis or y axis will be the number of calls made.

Answer:

d

Step-by-step explanation:

yo welcome

A triangle has sides with lengths of 4 meters, 5 meters, and 7 meters. ​Is it a right triangle

Answers

A triangle has sides with lengths of 4 meters, 5 meters, and 7 meters. It is a right triangle because the square of the largest side length is not equal to the sum of the square of the other two small side lengths and it can be determined by using the properties of the right triangle.

Given that,

A triangle has sides with lengths of 4 meters, 5 meters, and 7 meters. ​

We have to determine,

Is it a right triangle?

According to the question,

To determine the right triangle following all the steps given below.

A triangle has sides with lengths of 4 meters, 5 meters, and 7 meters. ​

The condition for the right triangle;

The square of the largest side length is not equal to the sum of the square of the other two small side lengths then it is called the right triangle.

Then,

[tex]= (4)^2+(5)^2 = 7^2\\\\= 16 +25 = 49\\\\=41\neq 49[/tex]

Hence, Yes it is a right triangle because the square of the largest side length is not equal to the sum of the square of the other two small sides lengths.

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Each of the letters of the word ALABAMA are written on a piece of paper and then put into a bag. A piece of paper is drawn at random. What is the theoretical probability, as a decimal, of drawing an A? Round the decimal to the nearest hundredth.

Answers

Final answer:

The theoretical probability of drawing an 'A' from the word 'ALABAMA' is 0.57. This result arrives from dividing the number of 'A's (4) by the total number of letters in 'ALABAMA' (7).

Explanation:

The question deals with a probability problem related to the selection of letters from the word 'ALABAMA'. The word 'ALABAMA' has 7 letters out of which 4 are 'A's. The theoretical probability is calculated as the number of successful outcomes divided by the total number of outcomes. Since we are interested in drawing an 'A', the successful outcomes are the number of 'A's which is 4, and the total outcomes are the total number of letters which is 7.

To calculate theoretical probability, you divide the number of successful outcomes by the total number of outcomes. In this case, the calculation will be 4 / 7 = 0.57 (rounded to the nearest hundredth).

So, the theoretical probability of drawing an A from the word 'ALABAMA' in decimal form, rounded to the nearest hundredth, is 0.57.

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Pls help me with this question

Answers

The solutions are £5575, £312.5 and £345 respectively.

Step-by-step explanation:

Step 1: Find the amount of Swedish kronor received by Theo in exchange for £500

£1 = 11.15 kr

⇒ £500 = 500 × 11.15 = £5575

Step 2: Find the amount of Swiss francs received by Theo in exchange for £250

£1 = 1.25 CHF

⇒ £250 = 250 × 1.25 = £312.5

Step 3: Find the pounds to get 407.10 euros.

£1 = 1.18 euros

⇒ 407.10 euros = 407.10/1.18 = £345

What is an equation of the line that passes through the points (7, -6) and (3, -6)

Answers

Answer:

y=-6

Step-by-step explanation:

Charlotte wants to swim 50 miles this school year she plans to swim 1/4 miles each day how many days Will it take her to swim 50 miles

Answers

You want to multiply 50 by 1/4. To do this you do 50/1 x 1/4 and use cancellation. (Although in this situation you can’t cancel out anything) the answer is 12 2/4 but in simplest terms it is 12 1/2

The image attached is showing how to work it out on paper.

Will y’all help me on my last one thank you

Answers

Answer:

$6.00

Step-by-step explanation:

Let's look at our prices:

Sandwich = $3.50

Fruit cup = $1.50

Orange juice = $1.00

Now let's add them:

$3.50 + $1.50 = $5.00

$5.00 + $1.00 = $6.00

Tip: Adding money is like adding regular digits. You also regroup (like we did with 5 + 5) as normal.

54 months = _____ years 5.4 years 4 years 4.5 years 5 years

Answers

the answer would be x=2936.7

Answer:

C 4.5 years

Step-by-step explanation:

54 divided by 12 ( because 12 months is a single year) is 4 years and 6 months and since 6 months is half of twelve months your answer would be 4.5 years.

Which of the following expressions results in 0 when evaluated at x = 3?

Answers

Answer:

You need to provide the expressions you have to choose from.

Step-by-step explanation:

HELP PLEASE BE QUICK

Answers

Answer:

Radius is 2 centimeters

Step-by-step explanation:

4π is the area of a circle

Area of a circle = πr^2

4π / π = πr^2 / π

sqrt(4) = sqrt(r^2)

2 = r

Answer:  Radius is 2 centimeters

The circumference of a circle is 15 meters. Find the area. Use 3.14 for π.

Answers

The correct answer is 17.85.

Marvin washes 10 1/2 crates in 3/4 hours. At this rate how many crates can he wash in one hour?

Please help us due tomorrow 3/3/2020!!!

Answers

To work this one out, you want to divide 10 1/2 by 3/4 right? So to do that, you want to change 10 1/2 to an improper fraction (21/2) and multiply it by 3/4’s reciprocal (4/3) and use cancellation to get the answer 14. Attached is an example of how to work it out on paper.

PLEASE HELP IT'S SO IMPORTANT PLZ

create word problems that required multi-step mathematical thinking, such as the solution of the equation is then used to determine the actual solution of the question, and SOLVE IT.

Answers

Will this help?

Answers:

1. $8 left

2. 4 minutes

3. 9 balloons

Questions

1. Craig has a twenty dollar bill. He buys six squirt guns

for $2 each. How much money did Craig have left?

2. Lauren and Gina's mother told her daughters they can

swim in the pool for 20 minutes. First, they swam laps in

the pool for 7 minutes. Then they swam underwater for

one minute. Then they played water polo for 8 minutes.

How much longer can they stay in the pool?

3. Maria invited 4 of her friends over for a water balloon fight in

the backyard. At the start of the game, Maria gave each of

her friends 2 water balloons. She had one water balloon for

herself. How many water balloons did they have altogether?


What is the probability of getting a head with the flip of a coin?
A) 0/2
B) 1/4
C) 1/2
D) 2/2

Answers

Answer:

1/2

Step-by-step explanation:

there is two side of a coin, so there is a 1/2 chance that you will head heads.

A coin has two sides, one side is heads, and the other is tails. Since there are 2 sides the probability of getting either heads or tails is 1/2. Therefore, the probability of flipping a coin and getting heads is C) 1/2.

Best of Luck!

Prove algebraically what type of function this is (even, odd, or neither).

Answers

The given function is even.

Solution:

If f(-x) = f(x), then the function is even.

If f(-x) = -f(x), then the function is odd.

Given function:

[tex]f(x)=x^{6}-x^{4}[/tex]

Substitute x = -x

[tex]f(-x)=(-x)^{6}-(-x)^{4}[/tex]

          [tex]=x^{6}-x^{4}[/tex]

          = f(x)   (given)

   f(-x) = f(x)

From the definition, it is even.

Hence the given function is even.

Pamelas age is. 2 times jiris age. The sum of their ages is 30.what is jiris age?

Answers

Answer: 10

p = Pamela’s age, j = Jiris’ age

2j = p
p + j = 30

Then change things around a bit...
p + j = 30 or
30 - p = j

Then substitute
2(30 - p) = p

And solve
2(30 - p) = p
60 - 2p = p
60 = 3p
p = 20

Answer:

Pamela is 20 years old

Jiris is 10 years old.

Step-by-step explanation:

The very first step is to identify your variables. Let's say that Pamela is 'P' and lets say Jiris is 'J.' The next step is to create an equation. 'The sum of their ages is 30' is something that we can use. So, P + J = 30. The next step is to see that Pamela is two times Jiris' age. So we can say that P = 2J. Now, in order to solve for one variable, we need to do some substitution. We know that P = 2J, so we can plug that into the first equation (P + J = 30). With this change, we now have, 2J + J = 30. With that, you combine like terms and solve for J to get an answer of J = 10. Now we can use that number and plug it into one of our previous equations, like P + J = 30. Now it is going to be P + 10 = 30. Solve for P and get an answer of 20 years old.

I need help with this question please
ANSWER ASAP!!!

Answers

Area of the larger circle is 9/4 πx²

Step-by-step explanation:

Step 1: Given area of the small rug = 1/4 πx² Compare this to the formula for area of a circle.

⇒ 1/4 πx² = πr²

⇒ x²/4 = r²

∴ r = x/2

Step 2: Given radius of the larger circle is 3 times that of the smaller circle (r = 3x/2), find area of the larger circle.

Area of the larger circle = πr² = π × (3x/2)²

                                        = 9/4 πx²

What is the volume, in cubic m, of a cube with an edge length of 11m?

Answers

the volume of cube with edge length 11 m is [tex]Volume = 1331m^3[/tex] .

Step-by-step explanation:

Here  we have a side length of a cube as 11 m . We need to find the volume of cube . Let's find out:

We know that every side of a cube is identical and equal . And volume of cube is given by formula :

⇒ [tex]Volume = (side)^3[/tex]   ...........(1)

According to question we have following parameters as

[tex]side = 11m[/tex]

Putting this in (1)

⇒ [tex]Volume = (11m)^3[/tex]

⇒ [tex]Volume = 11(11)(11)m^3[/tex]

⇒ [tex]Volume = (121)(11)m^3[/tex]

⇒ [tex]Volume = 1331m^3[/tex]

Therefore , the volume of cube with edge length 11 m is [tex]Volume = 1331m^3[/tex] .

The volume of the cube is 1331 m³

Explanation:

Given:

side of the cube, a = 11m

Volume of the cube, v = ?

we know:

Volume of the cube = (a)³

V = (11m)³

V = 1331 m³

Therefore, the volume of the cube is 1331 m³


A group of middle school boys have a mean height of 167 cm and a range of 164 cm to 169 cm. A group of high school boys have a mean height of 180 cm and a range of 175 cm to 183 cm. Which statement BEST compares the two groups of boys?

Answers

Answer:

C

Step-by-step explanation:

The high school boys vary in height more than the middle school boys.

middle school boys range = 169 − 164 = 5 cm

high school boys range = 183 − 175 = 8 cm

The range for both conditions is 5 cm and 8 cm respectively.

What is the range?

The difference between the highest and lowest value data points of the provided data is known as the range in mathematics.

In statistics, the mean is the product of all the values in a set of data divided by the total number of values in the data for a given set of observations.

The high school boys vary in height more than the middle school boys.

Middle school boys range = 169 − 164 = 5 cm

High school boys range = 183 − 175 = 8 cm.

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What is the answer 2-2n=3n+17

Answers

Answer:

n=-3

Step-by-step explanation:

2-2n=3n+17

Add 2n to each side

2-2n+2n=3n+2n+17

2 = 5n+17

Subtract 17 from each side

2-17 = 5n+17-17

-15 = 5n

Divide by 5

-15/5 = 5n/5

-3 =n

Answer:

n = -3

Step-by-step explanation:

2 - 2n = 3n + 17

Collect the like terms

-2n - 3n = 17 - 2

-5n = 15

Divide both sides by -5

n = 15/-5

n = -3

What is the solution to the inequality?


6x−5>−29


A.
​ x>−4 ​

​B.
x<4 ​

C.
​ x<−4 ​

​D.
x>4 ​

Answers

C is the right answer

N x 23 = 8.05 solve for N

Answers

Answer:

0.35

Step-by-step explanation:

Just divide 8.05 by 23

The answer you are looking for is 0.35.

To solve for any variable (N in this case) you must get it by itself, by doing the opposite operation. To do so for this problem, divide 23 from both sides. In doing so, N will be by itself, and you'd then just divide 23 from 8.05. Thus getting 0.35 as an answer.

I hope this helps!

let f(7)=12 and g(2)=7 what is the value of (f•g)(2)

Answers

Final answer:

The value of (f•g)(2), given f(7)=12 and g(2)=7, is 12. This is found by first applying g to 2 to get 7, and then applying f to get f(7), which equals 12.

Explanation:

The question pertains to the composition of functions and the use of the chain rule in calculus. Given that f(7)=12 and g(2)=7, we need to find the value of (f•g)(2). The notation (f•g)(x) means we first apply g to x, and then apply f to the result of g(x). Therefore, to find (f•g)(2), we first find g(2), which is 7, and then find f(g(2)) which is f(7). Since we know that f(7)=12, the value of (f•g)(2) is therefore 12.

Solve for x (to the nearest tenth)

Answers

Step-by-step explanation:

By Geometric mean property:

[tex]x = \sqrt{5 \times 3} \\ = \sqrt{15} \\ = 3.87298335 \\ \huge\orange {\fbox{\therefore \: x \approx \: 3.9}} [/tex]

A salesperson earns a weekly salary of $175 plus a 4% commission on the
sales of bicycles made during the week. If the salesperson's bicycle sales
for the week total $4500, how much did the salesperson earn for the week

Answers

Answer:

$355

Explanation:

See the photo attached :)

A parallelogram is always which of these?

A. rhombus
B. quadrilateral
C. rectangle
D. square

Answers

B. Quadrilateral

Reasoning: a square must have 4 equal length sides with 4 right angles, and rectangle must have two sets of equal length sides with 4 right angles. A rhombus must have 4 equal length sides. A parallelogram does not fit into any of these 3 options all the time, so the only answer could be B
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I know it's no fun to be so tall right now, but it'll get better, sweetie. Besides, she gave Katie a loving pinch and a wink, not every little girl gets to have the star of the Women's National Basketball Association as her mother!"A Tall Tale".Read the passage.What is the story mostly about?AKatie meets her grandfather and is surprised that he is very short.BKids at school call Katie the Jolly Orange Giant.CKatie's grandmother cheers her up after Katie is teased at school.DKatie's grandmother likes crossword puzzles.please help meh ;-; im so so lonely ;-; A large plate is fabricated from a steel alloy that has a plane strain fracture toughness of 89 MPa (81.00 ksi). If the plate is exposed to a tensile stress of 336 MPa (48730 psi) during use, determine the minimum length of a surface crack that will lead to fracture. Assume a value of 0.92 for Y.