Ask question

Ask question

All categories

2 years ago

13

Rachel made a mosaic from different color rectangular tiles. Three tiles measured 312 inches by 3 inches. Six measured 4 inches

by 314 inches. What is the area of the whole mosaic in square inches?

2 answers:

Elden [556K]2 years ago

4 0

The answer is 10,344:)

astraxan [27]2 years ago

3 0

The answer is 10,344 hope this helps!

You might be interested in

Which ordered pair in the form (a,b) is a solution of the equation?

kondor19780726 [428]

Answer:

A. (6,0)

Step-by-step explanation:

4a- 5b = 24

Check each point to see if its is true

A. (6,0)

4(6) - 5(0) = 24

24 = 24

true

B. (-5, -2)

4(-5) -5(-2)= 24

-20 +10 = 24

-10 =24

False

C. (0,6)

4(0) -5(6) =24

-30 =24

False

D. (-2, -5)

4(-2) -5(-5)=24

-8+25=24

18=24

False

3 0

2 years ago

jen wants to tile the floor of her kitchen. The floor is rectangular and measures 12 feet by 8 feet. if it costs $2.50 per squar

alexgriva [62]

Answer:

$240

Explanation:

12 × 8 = 96 _________ area in square feet

96 × 2.50 = 240 _________ in dollars

6 0

3 years ago

The lengths of two sides of a triangle are 10 and 24, and the third side is x. How many whole number values are possible for x.

solong [7]

Answer:

$20$ .

Step-by-step explanation:

In any triangle, the sum of the lengths of any two sides should be strictly greater than the length of the third side. For example, if the length of the three sides are $a$ , $b$ , and $c$ :

$a + b > c$ ,

$a + c > b$ , and

$b + c > a$ .

In this question, the length of the sides are $10$ , $24$ , and $x$ . The length of these sides should satisfty the following inequalities:

$10 + 24 > x$ ,

$10 + x > 24$ , and

$24 + x > 10$ .

Since $x > 0$ , the inequality $24 + x > 10$ is guarenteed to be satisfied.

Simplify $10 + 24 > x$ to obtain the inequality $x < 35$ .

Similarly, simplify $10 + x > 24$ to obtain the inequality $x > 14$ .

Since $x$ needs to be a whole number, the greatest $x$ that satisfies $x < 35$ would be $34$ . Similarly, the least $x\!$ that satisfies $x > 14$ would be $15$ . Thus, $x\!\!$ could be any whole number between $15\!$ and $34\!$ (inclusive.)

There are a total of $34 - 15 + 1 = 20$ distinct whole numbers between $15$ and $34$ (inclusive.) Thus, the number of possible whole number values for $x$ would be $20$ .

5 0

2 years ago

Verify that (cos²a) (2 + tan² a) = 2 - sin² a....<br>

Sveta_85 [38]

Trigonometric Formula's:

$\boxed{\sf \ \sf \sin^2 \theta + \cos^2 \theta = 1}$

$\boxed{ \sf tan\theta = \frac{sin\theta}{cos\theta} }$

Given to verify the following:

$\bf (cos^2a) (2 + tan^2 a) = 2 - sin^2 a$

$\texttt{\underline{rewrite the equation}:}$

$\rightarrow \sf (cos^2a) (2 + \dfrac{sin^2 a}{cos^2 a} )$

$\texttt{\underline{apply distributive method}:}$

$\rightarrow \sf 2 (cos^2a) + (\dfrac{sin^2 a}{cos^2 a} ) (cos^2a)$

$\texttt{\underline{simplify the following}:}$

$\rightarrow \sf 2cos^2 a + sin^2 a$

$\texttt{\underline{rewrite the equation}:}$

$\rightarrow \sf 2(1 - sin^2a ) + sin^2 a$

$\texttt{\underline{distribute inside the parenthesis}:}$

$\rightarrow \sf 2 - 2sin^2a + sin^2 a$

$\texttt{\underline{simplify the following}} :$

$\rightarrow \sf 2 - sin^2a$

Hence, verified the trigonometric identity.

7 0

1 year ago

Read 2 more answers

John's birthday is this saturday, in buying materials for the party Vicki notices that plates come in packs of 12, cups come in

Vlad1618 [11]

Answer:

Step-by-step explanation:

So, Vicki wants no left overs whatsoever, which means we have to get all three items to the same number. We first look at 10. We know that 10 will always have a 0 in the one's place, meaning that 8 and 12 have to be multiplied by 5, 10, 15, 20, etc., but they do not need to be multiplied by the same number.

Let's take 8 first. 8 can possibly go up to 40, 80, 120, 160, 200, etc.

Then 12. 12 can possibly go up to 60, 120, 180, 220, 280, etc.

We can see that both numbers have 120 in common, so we shall use that.

We know that we can get 10 to 120 by multiplying 10 by 12, meaning Vicki buys 12 packs of cups.

We know that we can get 12 to 120 by multiplying 12 by 10, meaning Vicki buys 10 packs of plates.

And finally, we know that we can get 8 to 120 by multiplying 8 by 15, meaning Vicki buys 15 packs of utensils.

So, since the question is asking for utensils <em>only,</em> we should say that Vicki buys 15 packs of utensils.

4 0

2 years ago