Suppose the longest side in a right triangle has the measure 4,6. If the acute angles have the measure of 30° and 60°, which is the exact measure of the longer leg?​

Answer:

Cubes in each layer: 6

Number Of Layers: 5

Volume: 30

Answer:

> there you go

Step-by-step explanation:

Answer:

>

Step-by-step explanation:

i: 1

ii: 6

iii: 3

iv: 2

v: 4.5

vi: 2.5

Answer:

21 packs of gatorade would cost $36.88.

Step-by-step explanation:

Mathematically:

8.78 / 5 = 1.756

1.756 * 21 = 36.876 ~= $36.88

Answer:

1 hour: $12.75

Step-by-step explanation:

Easy divide 38.25 by 3 which is 12.75

Answer:

Step-by-step explanation:

Change:

Percent change:

Answer:

(0.4291, 0.4743)

Step-by-step explanation:

Using the relation :

p ± Zcritical * Sqrt[(p(1-p)) / n]

P = x / n =. 1447 / 3203 = 0.4517

1 - p = 0.5483

Zcritical at 99% = 2.575

Sqrt[(p(1-p)) / n] = sqrt(0.4517(0.5483)) / 3203) = 0.008793

p ± Zcritical * 0.008793

Lower boundary = 0.4517 - (2.575 * 0.008793) = 0.4291

Upper boundary = 0.4517 + (2.575 * 0.008793) = 0.4743

(0.4291, 0.4743)

Answer:

4 pounds 12 ounces

Step-by-step explanation:

there are 16 ounces in 1 pound so 76/16 = 4.75 and .75 is equal to 12 ounces.

76 ounces is equal to 4 pounds and 12 ounces.

To convert 76 ounces to pounds and ounces, we need to consider that 1 pound is equal to 16 ounces.

Here's how to proceed:

Divide the total number of ounces by 16 to find the number of pounds:

76 ounces ÷ 16 ounces/pound = 4.75 pounds

Since 4 pounds = 4 x 16 pounce/ pound

= 64 ounces ,we subtract this amount from the total of 76 ounces to determine the remaining ounces:

= 76 ounces - 64 ounces

= 12 ounces

Therefore, 76 ounces is equal to 4 pounds and 12 ounces.

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Answer:

4 kilometers.

Step-by-step explanation:

Answer:

Range: 75 Median: 58 1Q: 40 3Q: 75 Interquartile: 35

Answer:

The answer is B

Step-by-step explanation:

Divide 48 by 3 which gives you the total amount for one bracelet then you have to multiply the amount by 9 and 13 and then find your answer in the letters.

The proportion relationship is as follows;

number of bracelet         total cost($)

                3                           48

                9                            144

               13                           208

Proportional relationship is one in which two quantities vary directly with each other.

Therefore, we can establish a proportional relationship between the number of bracelets and it cost.

Hence,

let

x = number of bracelet

y = cost of the bracelets

Therefore,

y = kx

where

k = constant of proportionality

48 = 3k

k = 48 / 3

k = 16

Let's find the cost for 9 or 13 bracelet

y = 12x

y = 16(9) = 144

y = 16(13) = 208

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Answer:

124

Step-by-step explanation:

To find the surface area, we add the area from all faces or the prism.

the first face, we can put 8 times 2.5, which is 20. There are two of these faces, so we have 40 in our area so far.

next the other face. 4  times 2.5 is 10, and there are two of these faces. 60 in out area.

now the top and bottom faces. 8 times 4 is 32. there are two of these faces, and 60 +64 = 124

Answer:

Prism B has a larger base area

Step-by-step explanation:

Given

Base dimensions:

Prism A:

Lengths: 6cm, 8cm and 10cm

Prism B:

Lengths: 5cm and 5cm

Required [Missing from the question]

Which prism has a larger base area

For prism A

First, we check if the base dimension form a right-angled triangle using Pythagoras theorem.

The longest side is the hypotenuse; So:

[tex]10^2 = 8^2 + 6^2[/tex]

[tex]100 = 64 + 36[/tex]

[tex]100 = 100[/tex]

The above shows that the base dimension forms a right-angled triangle.

The base area is then calculated by;

Area = 0.5 * Products of two sides (other than the hypotenuse)

[tex]Area = 0.5 * 8cm * 6cm[/tex]

[tex]Area = 24cm^2[/tex]

For Prism B

[tex]Lengths = 5cm\ and\ 5cm[/tex]

So, the area is:

[tex]Area = 5cm * 5cm[/tex]

[tex]Area = 25cm^2[/tex]

By comparison, prism B has a larger base area because [tex]25cm^2 > 24cm^2[/tex]

Answer:

guru gossip and you can you invite me to the heading

Answer:

2 2/5=5/5+5/5+2/5=12/5

3 3/4= [(3•4)+3]/4=15/4

(12/5) / (15/4)= 12/5 • 4/15=12•4/5•15=

48/75 kilometers in 1 minute

Step-by-step explanation:

How that this helps! :)

Have a great rest of your day/night!

Answer:

A. 300h = 900

Step-by-step explanation:

V = lwh

900 = (25)(12)h

900 = 300h

300h = 900

Answer:

69.53 ft

Step-by-step explanation:

area of a box: 18*18 = 324

area of a circle: (pi)*9^2 = 254.47

324-254.47 = 69.53 ft

Answer:

b = -8

Step-by-step explanation:

Attachment.....added.

Hope it helps :)

Answer:

-5/4 is the slope of the line.

Answer:

The sample is the amount of people because not everyone is getting chosen

Step-by-step explanation:

I also agree, the coach choose certain people to march cuz not everyone is gonna be able to get used.

Answer: Height of tree = 26 ft

Make a triangle ABC with 40 degrees angle. The shadow is the base of the triangle equals 31 feet.

Base = AC = 31

Perpendicular = CB = ?

Hypotenuse = AB

Using trigonometric equation

tan 40 (deg) = CB / AC

CB = Tan 40 x AC

CB = 0.83909 x 31

CB = 26.011

Thus the height of the tree = 26 ft

Answer:

20

Step-by-step explanation:

length x width = area

4 x 5 = 20

(not 100% sure, but I hope this helps)

Answer: 60% would like another color

Step-by-step explanation:

Answer:

just interest = 251,550. Plus loan = 446,550

Step-by-step explanation:

195,000 x 0.043(interest as a decimal) = 8385 per year.

8385 x 30(years) = 251,550

The total of $446550 amount of money have to pay after 30 years at the rate of 4.3% of the principal amount of $195000.

Compound interest is applicable when there will be a change in principle amount after the given time period.

For example, if you give anyone $500 at the rate of 10% annually then $500 is your principle amount. After 1 year the interest will be $50 and hence principle amount will become $550 now for the next year the interest will be $550, not $500.

Given that

the principle amount of $195000

The rate of interest is 4.3%

Time period 30 years.

By compound interest formula

A = P × [tex](1 + 0.00r)^{n}[/tex]

where A is the total amount, P is the principal amount,r is the rate of interest and n is the total time period.

A = $195000[tex](1 + 0.043)^{30}[/tex]

A = $689546.985

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Answer:

A for ever I  P=25

b. 5.76

Step-by-step explanation: