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3 years ago

Find the value of the remaining variable in the formula. Use 3.14 as an approximation for a (pi).

Mathematics

1 answer:

wel3 years ago

5 0

Answer:

P = 12

Step-by-step explanation:

Given formula for the perimeter 'P' of a rectangle is,

P = 2L + 2W

If the values of L and W are,

L = 4 and W = 2

Perimeter of the rectangle = 2(L + W)

= 2(4 + 2)

= 2 × 6

= 12 units

Therefore, value of remaining variable 'Perimeter' = 12 units

(There is no use of 'pi' in calculating the perimeter of a rectangle).

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Which is an equation of the line perpendicular to y = -3/4x + 1 and passes through (3, 4)?

topjm [15]

Answer:

Step-by-step explanation:

perp. 4/3

y - 4 = 4/3(x - 3)

y - 4 = 4/3x - 4

y = 4/3x

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2 years ago

PLEASE HELP !! I'LL GIVE YOU BRAINLIEST !!

GuDViN [60]

Answer:

Step-by-step explanation:

tan45° = 10/x

=> 1 = 10/x

=> x = 10

=> y^2 = 10^2 + 10^2 = 200

=> y = 100*sqrt(2)

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2 years ago

You are the sales manager for a large condominium development in Sacramento, California. You are interested in determining how m

wolverine [178]

Answer:

A one-sided, two-sample t-test

Step-by-step explanation:

In the context, the values of the population standard deviations are not provided, therefore we have to use the two sample t tests for the difference between the two population means. This claim for the hypothesis or the alternative hypothesis is given as the average selling price is more for the first group of the sample size of 21 as compared to the other group of the sample size of 87. Therefore, we perform an one sided test or the upper tailed test.

4 0

3 years ago

A carpenter bought 750 nails. Each nail has a mass of 5.2×10−3 kilogram. What is the total mass, in kilograms, of the nails the

lawyer [7]

The total mass, in kilograms, of the nails the carpenter bought is 3.9 kilogram

<h3><u>Solution:</u></h3>

Given that carpenter bought 750 nails

Each nail has a mass of $5.2 \times 10^{-3}$ kilogram

To find: total mass, in kilograms of the nails bought

The total mass of the nails bought can be found out by multiplying number of nails bought by mass of each nail

Number of nails bought = 750

Mass of each nail = $5.2 \times 10^{-3}$ kilogram

total mass of the nails bought = number of nails bought x mass of each nail

$\text {total mass of the nails bought }=750 \times 5.2 \times 10^{-3}$

$\text {total mass of the nails bought }=3900 \times 10^{-3}=\frac{3900}{1000}=3.9$

Thus the total mass of nails bought is 3.9 kilogram

4 0

2 years ago

Given: ∆ABC, AC = 12,<br> AB = BC = 10<br> Find: m∠A, m∠C, m∠B

4vir4ik [10]

Answer:

m∠A ≈ 53.13°
m∠B ≈ 73.74°
m∠C ≈ 53.13°

Step-by-step explanation:

An altitude to AC bisects it and creates two congruent right triangles. This lets you find ∠A = ∠C = arccos(6/10) ≈ 53.13°.

Since the sum of angles of a triangle is 180°, ∠B is the supplement of twice this angle, so is about 73.74°.

m∠A = m∠C ≈ 53.13°

m∠B ≈ 73.74°

_____

The mnemonic SOH CAH TOA reminds you of the relation between the adjacent side, hypotenuse, and trig function of an angle:

Cos = Adjacent/Hypotenuse

If the altitude from B bisects AC at X, triangle AXB is a right triangle with side AX adjacent to the angle A, and side AB as the hypotenuse. AX is half of AC, so has length 12/2 = 6, telling you the cosine of angle A is AX/AB = 6/10.

A diagram does not have to be sophisticated to be useful.

3 0

3 years ago