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Schach [20]
3 years ago
12

Using (x + a) (x + b) = x² + (a + b) x + ab, evaluate 75 x 77

Mathematics
1 answer:
Gre4nikov [31]3 years ago
4 0

(x + a) (x + b) = x² + (a + b) x + ab

75 * 77=

=(70+5)(70+7)

=70²+(5+7)*70+5*7

=4900+12*70+35

=4900+840+35

=5775

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S_A_V [24]

Answer:

1. Area of the triangle is 96m^2.

2. 2 gallons of paint will you need to cover 224 sq.ft

3.  Volume of the following solid(to the nearest tenth), is 580.1 cm^3.

4. The area cover is 242 sq. ft.

5. The sides of the triangle on the drawing should be 6, 8, and 9 inch

Step-by-step explanation:

1.

<u>Given:</u>

Base of the triangle(b) is 16 m

and altitude of the triangle(h) is 12 m.

To find the Area of the triangle(A), given by;

A=\frac{1}{2}\left (b\cdot h\right)

A=\frac{1}{2}\left (16\cdot 12\right)=8 \cdot 12=96 m^2

Therefore, the Area of the triangle is 96m^2.

2.

Given: You wish to paint a storage shed. Its four walls measure 7 ft. high and 8 ft. wide each.

First find the area(A) of one wall.

A=b\cdot h

where b is the width and h is the height of the wall.

A=8ft\cdot 7ft=56ft^2.

Now, area for four walls is,  4\cdot 56=224 ft^2

Since, one gallon of paint covers 160 sq. ft or we can say that 160 sq. ft cover in one gallon of paint.

for 224 sq ft cover in ,  \frac{224}{160} =1.4 gallon of paint

2 gallons of paint will you need to cover 224 sq.ft.

3.

Given: A rectangular solid has sides of 10.5 cm, 6.5 cm, and 8.5 cm

length (l)=10.5 cm

breadth(b)=6.5 cm

height(h)=8.5 cm

Volume of rectangular solid(V) is given by, V=lbh

v=10.5\cdot 6.5\cdot 8.5=580.125 cm^3

Therefore, the volume of the following solid(to the nearest tenth), is 580.1 cm^3.

4.

Given: You are laying an asphalt driveway. if the driveway is 22 feet long and 11 feet wide.

length(l)=22 ft

Wide(w)= 11 ft

Area cover (A) is given by,  A=lw

A=22\cdot 11=242 ft^2

Therefore, the area cover is 242 sq. ft.

5.

Given:  A triangle with sides 12 feet, 16 feet, and 18 feet on a drawing

Use:  1 inch = 2 feet.

Convert each sides of a triangle into inches.

12 feet

1 inch = 2 feet

12 feet = 6 inch

similarly, others sides 16 feet = 8 inch and 18 feet = 9 inch

Therefore, the sides of the triangle on the drawing should be 6 inch, 8 inch, and 9 inch



















3 0
3 years ago
Read 2 more answers
Factor. 8a2−2ac+12ab−3bc
Masteriza [31]

Answer:

B. (2a +3b)(4a -c)

Step-by-step explanation:

Group the terms pairwise, then factor each pair.

... (8a² -2ac) +(12ab -3bc)

2a is a common factor in the first pair of terms; 3b is a common factor in the second pair of terms. We can factor those out.

... = 2a(4a -c) +3b(4a -c)

Then we see that (4a-c) is a common factor in the result. We can factor that out.

... = (2a +3b)(4a -c) . . . . matches selection B

8 0
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David wants to fill his backyard swimming pool. His garden hose delivers 40 gallons in 5 minutes. How many gallons of water will
svetlana [45]

Answer:

Part a) 160\ gallons

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Step-by-step explanation:

Part a) How many gallons of water will be in the pool after 20 minutes?

we know that

Using proportion

\frac{40}{5}\frac{gallons}{minutes}=\frac{x}{20}\frac{gallons}{minutes} \\ \\x=40*20/5\\ \\x=160\ gallons

Part b) How many gallons of water will be in the pool after 1 hour

we know that

1 hour = 60 minutes

Using proportion

\frac{40}{5}\frac{gallons}{minutes}=\frac{x}{60}\frac{gallons}{minutes} \\ \\x=40*60/5\\ \\x=480\ gallons

5 0
3 years ago
12. From a rope 68 m long, pieces of equal size are cut. If length of one piece is 4/14 m, find the number of such pieces.
otez555 [7]

Answer:

hope this helps (sorry for messy handwriting!)

Step-by-step explanation:

7 0
2 years ago
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Subtract. <br> 23.87 - 1.12<br><br> A. 13.75<br><br> B. 22.75<br><br> C. 24.99<br><br> D. 12.67
Shtirlitz [24]

Answer:

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Step-by-step explanation:

23.87

<u>-   1.12</u>

22.75

7 0
3 years ago
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