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3 years ago

Please, I need help I'm way behind.

Mathematics

1 answer:

gregori [183]3 years ago

3 0

Answer:

$\frac{18√2}{√3}$

Step-by-step explanation:

The lengths of the sides of a 30-60-90 triangle are in the ratio 1:2:√3.
The lengths of the sides of a 45-45-90 triangle are in the ratio 1 : 1 : √2
We can get the length of the longest side of the bottom triangle is 9×2÷√3 = $\frac{18}{√3}$
And based on the theory shown on the 2nd step, we can get x (the length of the longest side of the upper triangle) is $\frac{18}{√3}$ x√2

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I already did 1,2 I just need help with three I’ll give u the best rating if u can answer it ❤️

nordsb [41]

Answer:

125in³

Step-by-step explanation:

A box that would perfectly fit the bowling ball will be a cube shape.

The box will have the dimensions 5in by 5in by 5in. These dimensions come from the diameter for the ball.

Calculate volume using V = s³, where "s" stands for a side.

V = s³

V = (5in)³

V = 125in³

Mr. Ryan needs a box with the volume 125 cubic inches.

5 0

3 years ago

Sue Shopper received a $749.25 discount loan to purchase a refrigerator. The loan was offered at 12% for 120 days

STALIN [3.7K]

The interest paid for the loan will be:
I=(PRT)/100
P=$749.25
R=12%
T=120 days=120/30=4 months=1/3 years
Hence:
I=(749.25×1/3×12)/100
I=$29.97

The proceeds will be:
Net proceeds=(gross proceeds)-(expenses)
=749.25-29.97
=$719.28

7 0

3 years ago

Rachel has 30 pounds of a mixture of candy that sells for $1.00/lb. If lollipops sell for $0.95/lb and caramel candies sell for

Lina20 [59]

Answer:

Twenty Pounds

Step-by-step explanation:

Equation #1:

30lbs x Mix Price = (Lollipop Lbs x 0.95) + (Caramel Lbs X 1.10)

Equation #2:

Lollipops Lbs + Caramel Lbs = 30 Lbs

Rearrange expressions to solve for different variables

EQ1: Caramel Lbs = (30 - .95 Lollipop Lbs)/ 1.10 NOTE: (mix price = 1.00)

EQ2: Lollipop Lbs = 30 - Caramel Lbs

Substitute formula 1 into formula 2

Lollipop Lbs = 30 - [(30 - .95 Lollipop Lbs)/1.10]

Distribute divisor

Lollipop Lbs = 30 - 27.2727 + .8636 Lollipop Lbs

Collect terms

Lollipop Lbs = 2.7273 + .8636 Lollipop Lbs

Remove .8336 Lollipops from both sides of the equation

.1364 Lollipop Lbs = 2.7273

Divide both sides by .1364 (Answer is 19.9949 which rounds to 20)

Lollipop Lbs = 20

PROOF:

30 = (20 x 0.95) + (10 x 1.10)

30 = 19 + 11

30 = 30 TRUE!

6 0

3 years ago

What is the answer to this math question?

oksano4ka [1.4K]

Answer:

The answer is option 3.

Step-by-step explanation:

First we have to find the area of both rectangle and triangle :

Rectangle,

$area = base \times height$

Let base = 9,

Let height = 3,

$area = 9 \times 3 \\ area = 27 \: {m}^{2}$

Triangle,

$area = \frac{1}{2} \times base \times height$

Let base = 3,

Let height = 3,

$area = \frac{1}{2} \times 3 \times 3 \\ area = \frac{1}{2} \times 9 \\ area = \frac{9}{2} \\ area = 4.5 \: {m}^{2}$

Lastly, in order to find the shaded region you have to substract the area of triangle from the area of rectangle :

$area = 27 - 4.5 \\ area = 22.5 \: {m}^{2}$

5 0

3 years ago

Read 2 more answers

Cheryl drove 4 hours at a constant rate to travel 160 miles. At what rate did she drive? A. 20 mph B. 35 mph C. 40 mph D. 72 mph

erik [133]

Answer:

40 mph

Step-by-step explanation:

you take your miles 160 and divide them by 4 which is going to be 40

5 0

3 years ago

Read 2 more answers