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3 years ago

Find the measure of ∠3.

Mathematics

1 answer:

Shkiper50 [21]3 years ago

5 0

This is a kite due to the adjacent congruent sides (shown by the tickmarks). With any kite, the diagonals are perpendicular. So angle 3 is 90 degrees.

<h3>Answer: 90 degrees</h3>

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Emma buys and sells truck parts. She bought two tires for $35.00 each and later sold them for $65.00

hodyreva [135]

i don't know

Step-by-step explanation:

6 0

3 years ago

I have no idea what to do for this question somebody please help

Aleonysh [2.5K]

Answer:

405π

Step-by-step explanation:

Use the formula for Volume Of Cylinder (V=πr²h) where "V" represents the volume, "r" represents the radius, and "h" represents the height

<u>The volume and the radius are given. (V=45π, r=3)</u>

<u>1. Solve for height</u>

V=πr²h

45π=π3²h

45π/π=3²h

45=3²h

45=9h

45/9=h

h=5

<u>2. Plug the new radius (3*3=9) into this formula and solve for "V"</u>

V=π9²5

V=π81*5

V=405π

NEW VOLUME AFTER A TRIPLED RADIUS IS 405π

<u />

6 0

2 years ago

Which of the following is a root of the polynomial function below

Lisa [10]

Answer: "C"

roots would make the function "0"

so just plug in the numbers...

with a + 12 you need minuses to cancel out...

B & C can not be the answer...

A is -i -3 + 4i - 12 which also is not 0

C is : 8i -12 -8i +12 WHICH DOES = 0

Step-by-step explanation:

8 0

3 years ago

Carol invested $2,560 into two accounts. One account paid 6% interest and the other paid 8% interest. She earned 7.25% interest

Elis [28]

Answer:

The amount she put in the account that paid 6% interest = x = $960

The amount she put in the account that paid 8% interest = y = $1600

Step-by-step explanation:

Carol invested $2,560 into two accounts. One account paid 6% interest and the other paid 8% interest. She earned 7.25% interest on the total investment in one year.

I=Prt, to model simple interest applications, where I is equal to the interest, P is equal to the product of the principal, r is equal to the rate, and t is equal to the time.

Step 1

We have to calculate the total interest earn on the initial capital

P = $2,560

R = 7.25% = 0.0725

T = 1

I = $2,560 × 0.0725 × 1

I = $185.60

Let the amount Invested in the account that paid 6% interest = x

Let the amount Invested in the account that paid 8% interest = y

Hence:

$185.60 = x × 6% + y × 8%

$185.60 = 0.06x + 0.08y......Equation 1

$2560 = x + y........ Equation.2

x = $2560 - y

$185.60 = 0.06x + 0.08y......Equation 1

185.60 = 0.06(2560 - y) + 0.08y

185.60 = 153.6 - 0.06y + 0.08y

185.60 - 153.60 = 0.02y

y = 32/0.02

y = $1600

x = $2560 - y

x = $2560 - $1600

x = $960

The amount she put in the account that paid 6% interest = x = $960

The amount she put in the account that paid 8% interest = y = $1600

5 0

3 years ago

The perimeter of a rectangle must be less than 172 feet. If the length is known to be 53 feet, find the range of possible widths

dlinn [17]

The interval notation for width of rectangle will be: (1,33)

Step-by-step explanation:

Perimeter of rectangle < 172 feet

Length of rectangle = 53 feet

Width of rectangle = ? (range of values)

The formula used to find perimeter of rectangle is:

$Perimeter=2l+2w$

where l is length and w is width

In our case we will use: $2l+2w$ because perimeter should be less than 172

Putting values:

$2l+2w$

So, width should be less than 33

Since width should be positive and greater than 0

So, the interval notation for width of rectangle will be: (1,33)

Keywords: Perimeter of rectangle

Learn more about Perimeter of rectangle at:

#learnwithBrainly

3 0

3 years ago