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2 years ago

Each cube in the prism is one cubic unit.

Mathematics

1 answer:

padilas [110]2 years ago

7 0

Answer:

since we know each cube is 1cm^3

just add the cubes to find the length width and height

length = 8

width = 3

height = 5

now multiply those to find the volume of the cuboid

8*3*5 = 120cm^3

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A recipe calls for 350 milliliters of milk. Ms. Buback has exactly 0.5 liters of milk in her refrigerator. After she makes the r

lesya692 [45]

Answer:150

Step-by-step explanation:

.05 liters is 500 milliliters

500-350=150

5 0

3 years ago

Read 2 more answers

In the right triangle shown, the third side can be represented by the expression

Westkost [7]

The third side can be represented by D) $x = \sqrt{z^{2} } -y^{2} .$

Step-by-step explanation:

Step 1:

According to the Pythagorean theorem, the square of the hypotenuse will be equal to the sum of the squares of the other two sides.

In the given triangle, the hypotenuse is the side that is represented by z. Another side on the triangle is represented by the value y.

Step 2:

Assume the other side of the triangle measures x units.

So according to the Pythagorean theorem,

$z^{2} = x^{2} +y^{2} , x^{2} = z^{2} - y^{2} .$

$x = \sqrt{z^{2} } -y^{2}$ which is option D.

6 0

3 years ago

Please help!! With step by step

Sever21 [200]

Answer:

$R=\$145.12$

Step-by-step explanation:

<u>Compound Interest</u>

This is a well-know problem were we want to calculate the regular payment R needed to pay a principal P in n periods with a known rate of interest i.

The present value PV or the principal can be calculated with

$P=F_a\cdot R$

Solving for R

$\displaystyle R=\frac{P}{F_a}$

Where Fa is computed by

$\displaystyle F_a=\frac{1-(1+i)^{-n}}{i}$

We'll use the provided values but we need to convert them first to monthly payments

$i=7\%=7/(12\cdot 100)=0.00583$

$n=3*12=36$

$\displaystyle F_a=\frac{1-(1+0.00583)^{-36}}{0.00583}$

$F_a=32.386$

Thus, each payment is

$\displaystyle R=\frac{4,700}{32.386}=145.12$

$\boxed{R=\$145.12}$

4 0

2 years ago

What is (99/100)^101 times (100/99)^100?

sineoko [7]

Answer:

99/100

Step-by-step explanation:

First of all recall that

$a^n\cdot b^n =(ab)^n$

Now we we will try to apply that formula for $a=99/100$ and $b=100/99$ .

First rewrite $(99/100)^{101}=(99/100)\times (99/100)^{100}$

Now

$(99/100)\times (99/100)^{100}\times (100/99)^{100}\\=(99/100)\times ((99/100)\times (100/99))^{100}\\=(99/100)\times 1^{100}\\=(99/100)\times 1\\=99/100$

7 0

3 years ago

Can someone solve this

Natalka [10]

Option D:

ΔCAN ≅ ΔWNA by SAS congruence rule.

Solution:

Given data:

m∠CNA = m∠WAN and CN = WA

To prove that ΔCAN ≅ ΔWNA:

In ΔCAN and ΔWNA,

CN = WA (given side)

∠CNA = ∠WAN (given angle)

NA = NA (reflexive side)

Therefore, ΔCAN ≅ ΔWNA by SAS congruence rule.

Hence option D is the correct answer.

4 0

3 years ago