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vodka [1.7K]
3 years ago
5

A shelf can fit 128 books on it. Each book is 1.4 inches thick. Write and solve an equation to represent the situation where s r

epresent the width of the Shelf
Mathematics
1 answer:
bogdanovich [222]3 years ago
7 0

Answer:

equation/answer : 1.4×128=s

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A triangle has the lengths of (10a+9) centimeter,(8a—3) centimeters and (10b+7). Which expression represents the perimeter in ce
marysya [2.9K]

Answer:

P = (18a+10b+13) cm

Step-by-step explanation:

Given that,

A triangle has the lengths of (10a+9) cm, (8a—3) cm and (10b+7) cm.

We need to find an expression that represents the perimeter of the triangle.

Perimeter = sum of all sides

P = (10a+9) + (8a-3) + (10b+7)

Taking like terms together,

P = (10a+8a)+10b+(9-3+7)

= 18a+10b+13

Hence, the epresssion for the perimeter is (18a+10b+13) cm.

6 0
3 years ago
3x+7=13 (x=-2;x=2;x=5)
AnnZ [28]
X=2 because 3 times 2 is 6 and then you add 6 and 7 together and get 13.
5 0
3 years ago
Read 2 more answers
What is the solution to this system of linear equations?
Luden [163]

Answer:

the answer is (5,-1)

Step-by-step explanation:

if you click on the image it will show you the image full screen

4 0
3 years ago
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a recipe of cookies uses 220 g of butter and 110 g of caster sugar and 275 grams of flour what is the ratio of sugar to flour to
andre [41]

Answer: 22 to 55 to 44


Step-by-step explanation: Start with the factors you know. It can't be two because 2 doesn't go into 275 evenly. It can't be three because all of them evenly don't go into three. It can't be four because 110 and 275 don't go into it evenly. But five works. 110/ 5 is 22, 275/ 5 is 55, and 220/ 5 is 44.


7 0
3 years ago
Prove the identity.
Delvig [45]

Answer:

D. Pythagorean

Step-by-step explanation:

Given the identity

cos²x - sin²x = 2 cos²x - 1.

To show that the identity is true, we need to show that the left hand side is equal to right hand side or vice versa.

Starting from the left hand side

cos²x - sin²x ... 1

According to Pythagoras theorem, we know that x²+y² = r² in a right angled triangle. Coverting this to polar form, we have:

x = rcostheta

y = rsintheta

Substituting into the Pythagoras firnuka we have

(rcostheta)²+(rsintheta)² = r²

r²cos²theta+r²sin²theta = r²

r²(cos²theta+sin²theta) = r²

(cos²theta+sin²theta) = 1

sin²theta = 1 - cos²theta

sin²x = 1-cos²x ... 2

Substituting equation 2 into 1 we have;

= cos²x-(1-cos²x)

= cos²x-1+cos²x

= 2cos²x-1 (RHS)

This shows that cos²x -sin²x = 2cos²x-1 with the aid of PYTHAGORAS THEOREM

5 0
4 years ago
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