the width of a rectangle is 1/4 it’s length. the perimeter of the rectangle is 600ft. what is the length, in feet, of the rectangle?

Answer:

10

Step-by-step explanation:

Answer:

use formula πr^2

Step-by-step explanation:

the area is 1257.14cm^2

Answer:

55%

Step-by-step explanation:

I divided 22 by 40 to get the percentage she got wrong

hope this is correct and helps :)

Answer:

The percentage is 55%

P(x) = 5x² + 5x + 7

"This is a polynomial because it is a 2nd degree trinomial or quadratic".

"Poly: meaning many, and nominal: meaning terms, combine to form the expression: "many terms".

Answer:

M

Step-by-step explanation:

M

Answer:

72.06

Step-by-step explanation:

Given that :

Side Lenght, a = 10

Edge length, b = 17

Using Pythagoras :

h = height of pyramid

h = sqrt (b² - 1/2a²)

h = sqrt(17^2 - 10^2/2)

h = sqrt(289 - 50)

h = 15.46

Slant height :

L = sqrt(h² + a²/4)

L = sqrt(15.46² + 25)

L = sqrt(239 + 25)

L = sqrt(264)

L = 16.25

Sinα = h/L

α = sin^-1 (15.46/16.25)

α = 72.060933

= 72.06

The approximate value of the angle formed between the base and a triangular face is 72.0775°.

Let [tex]h[/tex] be the distance between the center of the square base and the midpoint of the side of the square and let [tex]H[/tex] the height of the triangular face of the pyramid. By properties of the square and the Pythagorean theorem we derive expressions for [tex]h[/tex] and [tex]H[/tex], respectively:

Square base

[tex]h = 0.5\cdot L[/tex] (1)

Triangular face

[tex]H = \sqrt{l^{2}-0.25\cdot L^{2}}[/tex] (2)

Where:

Finally, by trigonometry we can derive an expression for the angle between the base and a triangular face ([tex]\theta[/tex]), in sexagesimal degrees:

[tex]\theta = \cos^{-1} \frac{h}{H}[/tex] (3)

If we know that [tex]L = 10\,km[/tex] and [tex]l = 17\,km[/tex], then the angle between the base and a triangular face is:

[tex]h = 5\,km[/tex]

[tex]H = \sqrt{17^{2}-5^{2}}[/tex]

[tex]H \approx 16.248\,km[/tex]

[tex]\theta = \cos^{-1} \frac{5\,km}{16.248\,km}[/tex]

[tex]\theta \approx 72.0775^{\circ}[/tex]

The approximate value of the angle formed between the base and a triangular face is 72.0775°.

We kindly invite to check this question on pyramids: https://brainly.com/question/16303112

Answer:

40%

Step-by-step explanation:

Answer:

If you need help on further questions like this, divide what he has to what he needs or his goal

in order to get 37.5% you have to divide 75/ 200

You will get 0.357 and that is 37.5% this is ABOUT 40% but I reccomend putting 37.5% to be safe.

Step-by-step explanation:

=23.6

[tex]v = \pi {r}^{2} \frac{h}{3} = \pi {1.5}^{2} \frac{10}{3} = 23.56 \: {yd}^{3} [/tex]

Answer:

From (2, 1) move up one and over four

Answer:

28

Step-by-step explanation:

7C2

The 3rd term of 7th row of the Pascals triangle is 21.

We have a Pascal's triangle.

We have to determine the 3rd term of 7th row of this triangle.

A pascal's triangle is an arrangement of numbers in a triangular array such that the numbers at the end of each row are 1 and the remaining numbers are the sum of the nearest two numbers in the above row. The pascals triangle is shown below -

[tex]\begin{tabular}{rccccccccc}$n=0$:& & & & & 1\\\noalign{\smallskip\smallskip}$n=1$:& & & & 1 & & 1\\\noalign{\smallskip\smallskip}$n=2$:& & & 1 & & 2 & & 1\\\noalign{\smallskip\smallskip}$n=3$:& & 1 & & 3 & & 3 & & 1\\\noalign{\smallskip\smallskip}$n=4$:& 1 & & 4 & & 6 & & 4 & & 1\\\noalign{\smallskip\smallskip}\end{tabular}[/tex]

If we have to find the element or term at position - m in row number - n, than the element will be -

[n] C [m-1] = [n-1] C [m-2] + [n-1] C [m-1]

According to the question, we have to find the 3rd term of 7th row of this triangle. It can be found out using the formula -

[n] C [m-1] = [n-1] C [m-2] + [n-1] C [m-1]

We have - n = 7 and m = 3

[7] C [2] = [6] C [1] + [6] C [2]

[tex]$\frac{7!}{(7-2)!2!} = \frac{6!}{(6-1)!1!} + \frac{6!}{(6-2)!2!} = 6 + 15 = 21[/tex]

Hence, the 3rd term of 7th row of the Pascals triangle is 21.

To solve more questions on Pascals Triangle, visit the link below-

https://brainly.com/question/15655806

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Answer: (2,72) (5,189

Step-by-step explanation:

I did the I Ready

Answer:

t = 6√3 mm

Step-by-step explanation:

The angles of the triangle are 30°, 60°, and 90°. That's lucky for you, because the sides of a 30°-60°-90° triangle are always in the ratio 1:√3:2

The side opposite the 90° angle is 12 mm, so the side opposite the 30° angle is 12/2 = 6 mm

t = side opposite the 60° angle = 6√3 mm.

The value of T is 6√3.

One area of mathematics known as trigonometry examines the relationship between the sides and angles of a right triangle. The relationship between sides and angles is defined for 6 trigonometric functions.

We have,

Hypotenuse = 12 mm

Using Trigonometry

sin 60 = P/H

√3/2= P/12

12√3/2= P

P= 6√3

Thus, the value of T is 6√3.

Learn more about Trigonometry here:

https://brainly.com/question/29002217

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Answer:

2

Step-by-step explanation:

First, put the line into y = mx + b form to find the slope (m)

x + 2y = 8

Subtract x from both sides

2y = -x + 8

Divide each side by 2

y = -1/2x + 4

So, the slope of this line is -1/2

Perpendicular lines have a opposite reciprocal slope, so the slope of a perpendicular line will be 2.

Answer:

6

Step to Step:

9x6=54

Answer:

Option A

Step-by-step explanation:

In order to find the answer to this equation you must remember to divide if there is a variable right next to the number.

[tex]9x=54[/tex]

[tex]\div9[/tex]

[tex]54\div9=6[/tex]

[tex]x=6[/tex]

Hope this helps.

Answer:

(2n+7)^2

Step-by-step explanation:

Answer:

(6,30)

Step-by-step explanation:

This is where the two lines intersect. Also, we can verify our answer by plugging 6 in for x and 30 in for y.

Answer:

33.333333% (the 3 goes on forever)

Answer:

Brians milk is more chocolaty

Step-by-step explanation:

9514 1404 393

Answer:

  D)  Happy snakes are not purple

Step-by-step explanation:

The first statement tells us all happy snakes can add.

The second statement tells us that all purple snakes can't subtract, and the third statement tells us that purple snakes also cannot add.

Therefore, we must conclude that happy snakes are not purple.

Answer:

10 (D)

Step-by-step explanation:

do the Pythagorean theorem

Answer:

Undefined

Step-by-step explanation:

Vertical lines cannot be functions, since they yield multiple y-values for one single x-value.

Answer:

A score of 62 is not within one standard deviation of the mean.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Mean score of 54 and a standard deviation of 6.

This means that [tex]\mu = 54, \sigma = 6[/tex]

Calculate to see if a score of 62 is within one standard deviation of the mean.

Is Z between -1 and 1 when X = 62?

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{62 - 54}{6}[/tex]

[tex]Z = 1.33[/tex]

So a score of 62 is not within one standard deviation of the mean.

30 x 23 = 690

23 x 30 = 690

Answer: 690

Step-by-step explanation:

Now whats 34+35?

Answer: 22/3

Step-by-step explanation:

So, the first step is to add 9/2 to both sides. We cant do that unless there is a common denominator between -8/3 and 9/2. I will leave the 1/4 alone because we will have to divide that later. When you divide a fraction, you multiply by the reciprocal, which doesnt require a change in denominator. That is my reason for not changing the 1/4.

The common denominator of the two would be 6.

[tex]-\frac{16}{6} =\frac{1}{4}x-\frac{27}{6}[/tex]

Add the 27/6 to both sides

[tex]\frac{11}{6}=\frac{1}{4}x[/tex]

Divide the 1/4 to both sides

[tex]x=\frac{11}{6}*\frac{4}{1} =\frac{44}{6}= \frac{22}{3}[/tex]

Answer:

x = -11/3, y = -4/3

Step-by-step explanation:

[tex]y-2x=6\\y = 2x + 6[/tex]

[tex]3(2x + 6) = -4\\6x + 18 = -4\\6x = -22\\x = -11/3[/tex]

[tex]3y = -4\\y = -4/3[/tex]

Answer:

4200

Step-by-step explanation:

7000 x 0.60 = 4200

Answer:

75.4 inches

Step-by-step explanation:

circumference = 2πr = 24π ≅ 75.4 inches

It's really more of a tubcake than a cupcake.

Answer:

Either 36,8 × 2,1 or 2,3 × 33,6