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2 years ago

What is the area of the figure below?

Mathematics

1 answer:

Cerrena [4.2K]2 years ago

6 0

A=(a+b/2) x h

a = 8
b = 14
h = 14

(8+14/2) x 14

(22/2) x 14

11 x 14 = 154

The answer is 154

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Help pls i need it fast

sergij07 [2.7K]

The correct answer is C. Let’s break this down with the distributive property.

5(6x+6)

30x+30

5(9-x)

45-5x

Now add and subtract like terms.
30x-5x=25x

30+45=75

Put the remaining numbers together.
25x+75 and there you go.

3 0

3 years ago

-18.3 = b + -8.3 b =

Sauron [17]

Answer:

Here,

-18.3=b+ -8.3

-18.3+8.3=b

-10=b

the value of b is -10.

3 0

3 years ago

Two mechanics worked on a car. The first mechanic worked for 5

ArbitrLikvidat [17]

Answer:

$50 and $115

Step-by-step explanation:

We know that,

the sum of the two rates = $165 per hour

Let x and (165 - x) represent the $/hour of the 15hr and 5hr mechanics respectively.

Then combining their charges together to get:

$(x*15)hour+(165-x)*5 hour=1325$

Solving for x to get:

$15x-5x+825=1325$

$10x=500$

$x=50$

So the rate charged per hour by one mechanic is $50 and for the other mechanic = $(165-50)=$ $115.

8 0

3 years ago

What is the range of possible sizes for side x?

faust18 [17]

0.5 < x < 16.5 given: Two sides of triangle: 8.0 units and 8.5 units
Measure of third side = x
According to the triangle's inequality,
Sum of any two sides > third side. (i)
Difference between the sides < third side. (ii)
If x is the third side, then
x < 8+8.5 [Using (i)]
i.e. x< 16.5
Also, x > 8.5-8 [Using (ii)]
i.e. x> 0.5
Hence, Range of possible sizes for side x would be 0.5 < x < 16.5.

6 0

2 years ago

Read 2 more answers

Find the volume of a cube whose surface area is 150 ft2?

Brrunno [24]

Given:

Surface area of cube = 150 ft²

To Find:

Volume of cube

Solution:

As here in Question we are given Surface area of cube is 150 sq. feet. So, firstly we have find the side of edge of cube. Let 'a' be the edge of the cube

We know that,

$\: \: \: \: \dashrightarrow \sf \: \: \: \: Surface \: area_{(Cube)} = 6a^2 \\ \\$

Substituting the required values,

$\: \: \: \: \dashrightarrow \sf \: \: \: \: 150 = 6a^2 \\ \\ \: \: \: \: \dashrightarrow \sf \: \: \: \: \frac{150}{6} = {a}^{2} \\ \\ \: \: \: \: \dashrightarrow \sf \: \: \: \: 25 = {a}^{2} \\ \\ \: \: \: \: \dashrightarrow \sf \: \: \: \: \sqrt{25} = a \\ \\ \: \: \: \: \dashrightarrow \sf \: \: \: \: { \underline{ \boxed{ \sf{ \pink{5 = a}}}} } \\ \\$

Edge of the cube is 5 feet

Now,

$\: \: \: \: \dashrightarrow \sf \: \: \: \: Volume = (edge)^3 \\ \\ \: \: \: \: \dashrightarrow \sf \: \: \: \: Volume = (5)^3 \\ \\ \: \: \: \:\dashrightarrow \sf \: \: \: \: {\underline{\boxed{\sf{\pink{Volume =125 \: {ft}^{3}}}}}} \\ \\$

Hence,

Volume of the cube is 125 cu. feet

7 0

2 years ago

Read 2 more answers