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3 years ago

Find the missing dimension. Round your answer to the nearest tenth. Please help me answer this problem. :) thanks.

Mathematics

1 answer:

Liula [17]3 years ago

7 0

The right answer for the question that is being asked and shown above is that:

This can be answered using the Pythagorean Theorem.
h2 = a2 + b2
h = square root (8^2 + 5^2)
h = square root (64 + 25)
h = square root (89) in
h = 9.4 in

So the correct answer is 9.4 in given the dimension 5 inches and 8 inches.

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ONLY GIVING BRAINLYEST IF YOU ANSWER QUICKLY AND CORRECTLY

k0ka [10]

Answer:

B and D

Step-by-step explanation:

First, you have to solve the first equation. (Hint: you use the distributive property.)

2(5x + 2 + x)

10x + 4 + 2x

12x + 4

We can already see that B is correct and A is incorrect.

Now to solve C and D.

C = 2(5x + 3)

10x + 6

This is incorrect.

D = 2(6x + 2)

12x + 4

This is correct.

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2 years ago

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Solve the following quadratic equation by rearranging and then factorising x^2 + 3x - 15 = 2x - 13

NNADVOKAT [17]

Step-by-step explanation:

x² + 3x - 15 = 2x - 13

x² + x - 2 = 0

(x + 2)(x - 1) = 0

By zero product rule, (x + 2) = 0 or (x - 1) = 0.

Hence x = -2 or x = 1.

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2 years ago

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Mason currently pas $420 per month in rent. the contract on his apartment sates that his rent will increase by 6% next year.

Sergeeva-Olga [200]

Answer:

a. Mason's rent will increase by $302.40 next year.

b. Mason's new rent per month next year will be $445.20.

Step-by-step explanation:

The first question is asking us how much Mason's rent will increase next year.

If the contract on Mason's apartment states that his rent will increase by 6% next year, and he is currently paying $420 per month, to calculate the increase of the rent next year, we will first have to multiply $420 by 12 months to calculate how much Mason is paying in rent a year:

$420* 12=$

$5040$

Therefore, Mason is currently paying $5040 a year.

With this information, we will now need to calculate 6% of $5040. To calculate 6% of $5040, convert 6% to decimal form, and multiply it by $5040.

6% means 6 per cent/hundred, so it can be represented as:

$\frac{6}{100}$

The fraction $\frac{6}{100}$ can be represented as (we're two places behind the decimal, in the hundredths place):

$0.06$

Now, multiply the decimal form of 6% by $5040:

$0.06*5040=$

$302.40$

Therefore, Mason's rent will increase by $302.40 next year.

To calculate Mason's new rent per month next year, we can divide $302.40 into 12 months to see the rent increase per month, and then add that quotient to Mason's current rent per month, $420:

$302.40$ ÷ $12=$

$25.20$

Now, that we know the rent per month will increase by $25.20 next year, we can add $25.20 to Mason's current rent per month:

$420+25.20=$

$445.20$

Therefore, Mason's new rent per month next year will be $445.20.

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3 years ago

A store sells flower arrangements at a cost of $28 each. Which statements are true regarding the price of the arrangements? Chec

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Let's check each case to determine the solution to the problem.

we know that

The cost of each flower arrangements is $\$28$

Statements

case A) If the price is marked down by $10$ percent, the new price will be $\$25.20$

we know that

If the price is marked down by $10$ percent

then

the new price will be

$10\%= \frac{10}{100} =0.10$

$(1-0.10)*\$28=0.90*\$28 \\= \$25.20$

$\$25.20=\$25.20$

therefore

The statement case A) is True

case B) If the price is marked down by $25$ percent, the new price will be $\$21$

we know that

If the price is marked down by $25$ percent

then

the new price will be

$25\%= \frac{25}{100} =0.25$

$(1-0.25)*\$28=0.75*\$28 \\= \$21$

$\$21=\$21$

therefore

The statement case B) is True

case C) If the price is marked down by $50$ percent, the new price will be $\$19$

we know that

If the price is marked down by $50$ percent

then

the new price will be

$50\%= \frac{50}{100} =0.50$

$(1-0.50)*\$28=0.50*\$28 \\= \$14$

$\$14 \neq \$19$

therefore

The statement case C) is False

case D) If the price is marked down by $35$ percent, the new price will be $\$18.20$

we know that

If the price is marked down by $35$ percent

then

the new price will be

$35\%= \frac{35}{100} =0.35$

$(1-0.35)*\$28=0.65*\$28 \\= \$18.20$

$\$18.20=\$18.20$

therefore

The statement case D) is True

case E) If the price is marked down by $40$ percent, the new price will be $\$29.80$

we know that

If the price is marked down by $40$ percent

then

the new price will be

$40\%= \frac{40}{100} =0.40$

$(1-0.40)*\$28=0.60*\$28 \\= \$16.80$

$\$16.80 \neq \$29.80$

therefore

The statement case E) is False

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The characteristics of these geometric figures create:
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3 years ago

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