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3 years ago

PLEASE HELP I"M ON A TIME LIMT!!

Mathematics

1 answer:

NemiM [27]3 years ago

8 0

Answer: C) 1560

Step-by-step explanation:

So the first part is splitting the rectangle from the triangle so the area for the rectangle is 1440 (40 x 36) and the area for the triangle is 120 ((6x40)/ 2)

when you add them up the equal 1560 (1440 + 120)

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Anyone know the answer??

Xelga [282]

Answer

$3.5 x 10^{3}$

Step-by-step explanation

3 0

3 years ago

The Thomas family went for a Sunday drive. Before they left, Mr. Thomas noticed the gas tank was ¾ full. When they returned home

JulijaS [17]

Answer:

7.5 gallons

Step-by-step explanation:

Given:

The Thomas family went for a Sunday drive.

Before they left, Mr. Thomas noticed the gas tank was ¾ full.

When they returned home the gas tank was ⅓ full.

Total capacity of the gas tank = 18 gallons

Question asked:

How many gallons of gas did the car use on the drive?

Solution:

Before they left, quantity of gas in the tank = $\frac{3}{4} \times18=\frac{54}{4} =13.5\ gallons$

When they returned, quantity of gas in the tank = $\frac{1}{3} \times18=\frac{18}{3} =6\ gallons$

Quantity of gas used on the drive = 13.5 - 6 = 7.5 gallons

Therefore, 7.5 gallons of gas used on the drive by Thomas family.

4 0

3 years ago

A 13-ft ladder is leaning against a house. The distance from the bottom of the ladder to the house is 7-ft less than the distanc

Olin [163]

Answer:

12 feet

Step-by-step explanation:

As a ladder is leaning against a house, it forms right angle triangle. And for right angleΔ, we use Pythagoras theorem.i.e

P²+B²= H²

Where,

'P' is perpendicular i.e the distance from the top of the ladder to the ground

'B' is base i.e be the distance from the bottom of the ladder to the house

'H' is hypotenuse i.e 13

considering 'x' as perpendicular

So, base would be 'x-7'

Applying Pythagoras theorem,

x² + (x-7)²= 13²

x² +x² -14x +49 =169

2x² -14x -120= 0

x² -7x -60=0 ----> solving the quadratic equation

x² + 5x -12x-60=0

x(x+5) -12(x+5)=0

Either : x+5=0 => x=-5

OR: x-12=0 => x=12

We'll choose the positive length.

therefore , The distance from the bottom of the ladder to the house is 12 feet

6 0

3 years ago

Which expresses 216:270 in its simplest form

NeX [460]

216:270 = 4:5

divide top and bottom by 54
hope it helps

5 0

3 years ago

Read 2 more answers

1. Find the product. Simplify. 13/14 of 10/9. A. 15/42 B. 5/21 C. 2/7 D. 5/6 2. Andy has 5 pots, and each pot can hold 3/8 pound

Rufina [12.5K]

1) Resultant fraction: $\frac{65}{63}$

2) Total soil: $1\frac{7}{8}$ pounds

3) Result of the product: $\frac{35}{2}$

Step-by-step explanation:

In this problem, we want to find the product between the two fractions

$\frac{13}{14}$

and

$\frac{10}{9}$

In order to find this product, we have to multiply the numerators of each fraction and the denominators of each fraction. We get:

$\frac{13}{14}\cdot \frac{10}{9}=\frac{13\cdot 10}{14\cdot 9}=\frac{130}{126}$

Now we simplify, dividing both numerator and denominator by 2:

$\frac{130/2}{126/2}=\frac{65}{63}$

And the fraction cannot be further simplified.

Here we have:

n = 5 (number of pots that Andy has)

$s=\frac{3}{8}$ (amount of soil (in pounds) that each pot can contain)

In order to find the amount of soil that Andy needs to fill all the pots, we have to multiply the number of pots (n) by the amount of soil that each pot can contain (s).

If we do so, we find:

$t=n \cdot s = 5 \cdot \frac{3}{8}=\frac{5\cdot 3}{8}=\frac{15}{8}$