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4 years ago

One package of tile will cover 3 square feet.How many packages will shee need 8,13,15,39

Mathematics

1 answer:

IrinaVladis [17]4 years ago

4 0

Hey there! :)

Answer:

13 packages.

Step-by-step explanation:

Begin by finding the total area of this composite figure. Separate the figure into separate rectangles. Use the formula A = l × w to calculate the area of each:

Smaller rectangle:

Subtract 7 from 9 to find the width:

9 -7 = 2. Therefore:

2 × 2 = 4 ft².

Larger rectangle:

7 × 5 = 35 ft².

Add up the two areas to find the area of the entire figure:

4 + 35 = 39 ft².

If each package of tile covers 3 ft², simply divide to find the package of tiles needed:

39 / 3 = 13 packages.

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A right triangle is given with a missing value of t. It is stated that the triangle is an acute right triangle with angles 50∘ a

sergiy2304 [10]

Answer: t=20°

Step-by-step explanation:

1. By definition, the sum of the interior angles is 180 degrees.

2. Keeping the information above on mind, you can write the following expression:

$90+50+2t=180$

3. Now, you must solve for $t$ as following:

$140+2t=180\\2t=180-140\\2t=40\\t=\frac{40}{2}\\t=20$

4. Therefore, the value of $t$ is 20°

6 0

4 years ago

The product of 3 consecutive even integers is equal to the cube of the first plus the square of the second plus twice the square

algol [13]

Answer:

6, 8 and 10 and -2, 0, 2

There are two roots x = -2 and 6,

but the since I don't believe 0 is an even number the answer is 6, 8 and 10

I was incorrect according to G0ggle zero is an even number so another answer is -2, 0, 2

Step-by-step explanation:

read the question and convert the English to mathematics

x, y and z even consecutive number

y = x+2

z = y+2 = x+4

and

xyz = x³ + y² + 2z² substitiute x terms in for y and z

x(x+2)(x+4) = x³ + (x+2)² + 2(x+4)² solve for x by graphing on DEMOS

x = -2, 6 solved algebraically below

x = -2 y=0 z=2

x = 6 y=8 z=10

Checked both answers

xyz = x³ + y² + 2z²

-2(0)2 = -8 + 0 + 8 when x = -2

0 = 0

and

6(8)(10) = 6³ + 8² +2(10)² when x = 6

480 = 216+64+200

= 480

x(x+2)(x+4) = x³ + (x+2)² + 2(x+4)² solved algebraically

(x²+2x)(x+4) = x³ + x² +4x +4 + 2x² + 16x + 32

x³ + 6x² + 8x = x³ + x² +4x +4 + 2x² + 16x + 32

x³ + 6x² + 8x = x³ + 3x² + 20x + 36

3x² - 12x - 36 = 0 factor out the 3

3[x² - 4x - 12] = 0

3(x+2)(x-6) = 0 x = -2 and -12

6 0

3 years ago

Which would be a good estimate for the tax on $97.95 if the tax is 9.5%?

Ahat [919]

It would be $10. There is a formula to this "madness". Divide $97.95 by 9.5%. Ignore the rest of the numbers. (I'm pretty sure it has like 7 or 8, but I only went up to 3. Just make sure you have have the whole number, $10). Hope this helps.

7 0

3 years ago

Read 2 more answers

Can u do this bro 100x7+8-678x56

Gelneren [198K]

PEMDAS 100 times 7 is 700 678 times 56 is 37968 700 +8 - 37968 -37260

7 0

3 years ago

A toy manufacturer wants to know how many new toys children buy each year. A sample of 601 children was taken to study their pur

Lilit [14]

Answer:

The confidence interval is 6.6<μ<6.8.

Step-by-step explanation:

We have:

Number of observations = 601

Mean = 6.7

Standard deviation σ = 1.5

The z-score for a 95% confidence interval is 1.96.

The limits of the confidence interval can be calculated as

$X \pm z*\frac{\sigma}{\sqrt{n}}\\\\LL=X-z*\frac{\sigma}{\sqrt{n}}=6.7-1.96*\frac{1.5}{\sqrt{601} } =6.7-0.1199=6.6\\\\UL=X+z*\frac{\sigma}{\sqrt{n}}=6.7+1.96*\frac{1.5}{\sqrt{601} } =6.7+0.1199=6.8$

The confidence interval is 6.6<μ<6.8.

7 0

3 years ago