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3 years ago

Find the difference between 827 and 533

Mathematics

1 answer:

GenaCL600 [577]3 years ago

8 0

827-533=294. That is the difference between 827 and 533

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Find the measure of each side of this triangles. Answer in exact form. Find x and y

Firdavs [7]

Answer:

x = 24/√3

4√3 = y

Step-by-step explanation:

We are given that this is a right triangle as well as two angles and a side.

Given that the angles in a triangle add up to 180 degrees, and a right angle is 90 degrees, we can say that the missing angle is equal to

(180-90-30) = 60 degrees

Next, given sohcahtoa, we can say that

sin(30) = opposite/hypotenuse = y/x

cos(30) = adjacent/hypotenuse = 12/x

tan(30) = opposite/adjacent = y/12

We want to only have one variable per equation so we can solve for the variable, so we can use

cos(30) = 12/x and tan(30) = y/12

Starting with cos(30) = 12/x, we can multiply both sides by x to remove the denominator to get

cos(30) * x = 12, and divide both sides by cos(30) to isolate the x and get

x = 12/cos(30). Next, cos(30) = √3/2, so we have

x = 12/(√3/2)

x = (12/1) / (√3/2)

x = (12/1) * (2/√3)

x = 24/√3

For y, we have

tan(30) = y/12

multiply both sides by 12 to isolate the y and remove the denominator

tan(30) * 12 = y

√3/3 * 12 = y

√3 * 4 = y

4√3 = y

4 0

3 years ago

If Aldo puts 400 into a savings account that paid an interest rate of 5.4 percent What was the total amount in his account at th

Ne4ueva [31]

Answer:

$\$421.60$

Step-by-step explanation:

we know that

The simple interest formula is equal to

$A=P(1+rt)$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

in this problem we have

$t=1\ year\\ P=\$400\\ A=?\\r=5.4\%=5.4/100=0.054$

substitute in the formula above

$A=400(1+0.054*1)$

$A=400(1.054)$

$A=\$421.60$

Remember that Interest is equal to

$I=A-P$

$I=\$421.60-\$400=\$21.60$

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3 years ago

What is the length of segment TR?

Anton [14]

Answer:

8 units

Step-by-step explanation:

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2 years ago

A box of pens cost $6.50 and a box of pencils is $4.00. Jane gets 15% commission of each box of pencils sold. Calculate Jane's c

lys-0071 [83]

Answer:

10.50

Step-by-step explanation:

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2 years ago

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Luke plots his favorite places to go in his town on a coordinate plane. His 4 favorite places, the skateboard park, the ice crea

raketka [301]

We are given that:

The skateboard park is located at the point (-3,5),

the ice cream shop is located at the point (-3,6),

and the comic book store is located at (4,6).

We are also given that the four coordinates forms a rectangle.

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Now we must have two matching x and y coordinates too.

As shown in figure , if we have the last coordinate as (4,5), it will complete the rectangle.

So answer is option B) (4,5) is the last coordinate at which his best friend lives.

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