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3 years ago

An equilateral triangle has a length of 18 feet, determine the length of the triangle

2 answers:

5 0

The remaining lengths within an equilateral triangle are all the same. Each of the side lengths are also 18 feet, hence the name equal lateral sides.

ivanzaharov [21]3 years ago

4 0

Hello Delanew,

Do you mean the altitude of the triangle, since you are already given the length?

If you are looking for an altitude, you can start by drawing it in your triangle. You will see that it divides the triangle into two 30, 60, 90 triangles. The short leg of the triangle is 6, so using the rules for a 30, 60, 90 triangle the longer leg (your altitude) would be 6 square roots of 3. Or about 10.39.

If this isn't what you are looking for, let me know.
I can try and help.

Good luck!

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Please help me i need help with this please give me the answer

vichka [17]

Part A:

$8.00+(r⋅$1.40)

Part B:

($26.00-($8.00)÷$1.40)=5

He can go on 5 rides.

8 0

3 years ago

The playing time X of jazz CDs has the normal distribution with mean 52 and standard deviation 7; N(52, 7).

natita [175]

Answer:

68% of jazz CDs play between 45 and 59 minutes.

Step-by-step explanation:

<u>The correct question is:</u> The playing time X of jazz CDs has the normal distribution with mean 52 and standard deviation 7; N(52, 7).

According to the 68-95-99.7 rule, what percentage of jazz CDs play between 45 and 59 minutes?

Let X = <u>playing time of jazz CDs</u>

SO, X ~ Normal( $\mu=52, \sigma^{2} =7$ )

The z-score probability distribution for the normal distribution is given by;

Z = $\frac{X-\mu}{\sigma}$ ~ N(0,1)

Now, according to the 68-95-99.7 rule, it is stated that;

68% of the data values lie within one standard deviation points from the mean.

95% of the data values lie within two standard deviation points from the mean.

99.7% of the data values lie within three standard deviation points from the mean.

Here, we have to find the percentage of jazz CDs play between 45 and 59 minutes;

For 45 minutes, z-score is = $\frac{45-52}{7}$ = -1

For 59 minutes, z-score is = $\frac{59-52}{7}$ = 1

This means that our data values lie within 1 standard deviation points, so it is stated that 68% of jazz CDs play between 45 and 59 minutes.

6 0

3 years ago

Find the area of the blue sector(s). The diameter is 14.

pav-90 [236]

The area of the entire circle is pi*(7)^2, or 49pi.

Due to the 90 degree angle, the area of the larger blue sector is

------- * 49 pi = 49/4 units^2

360

The area of the smaller blue sector is

------- 49 pi = (2/15)(49 pi) = 98 pi/15 units^2

360

The total area of the blue sectors is the sum of 98 pi/15 and 49 pi/4 (units^2):

59 units^2

5 0

2 years ago

The prism below is made of cubes which measure of a centimeter on one side. What is the volume?

denpristay [2]

Volume = 45
Bc
3 rows wide
5 rows long
3 rows tall
5x3=15
15x3=45

6 0

2 years ago

Solve the equation.

mylen [45]

-9/15y+3/21=5/15y-14/21

Move 5/15y to the other side. Sign changes from +5/15y to -5/15y

-9/15y-5/15y+3/21=5/15y-5/15y-14/21

-14/15y+3/21=-14/21

Move 3/21 to the other side. Sign changes from +3/21 to -3/21.

-14/15y+3/21-3/21=-14/21-3/21

-14/15y=-14/21-3/21

-14/21-3/21=-17/21

-14/15y=-17/21

Multiply both sides by -15/14

-14/15y(-15/14)

Cross out 15 and 15, divide by 15 then becomes 1

Cross out 14 and 14, divide by 14 then becomes 1

1*1*y=y

-17/21*-15/14

Cross out 15 and 21 , divide by 3. 15/3=2, 21/3=7

17/7*5/14=85/98

Answer: c. y=85/98

7 0

2 years ago