A 29 foot rope is cut into two parts. the longer part is 2 feet longer than twice the shorter part. How long is each part

Answer:

your answer will be 113.3 yard

Step-by-step explanation:

hope it helps you

have a good day

Answer:

3

Step-by-step explanation:

y= x + 8..... (1)

y= 3x - 11..... (2)

y - x = 8..... (3)

y - 3x = -11..... (4)

eliminating x:

(3) × 3: 3y - 3x = 24 ........ (5)

(4) × 1: y - 3x = -11 ......... (6)

(5) - (6): 2y = 35

Divide both sides by 2, therefore, y = 17.5

substitute the value of y into (3)

y - x = 8

17.5 - x = 8

17.5 - 8 = x

9.5 = x

I hope it'll help

Step-by-step explanation:

perp. -1/2

y + 3 = -1/2(x - 4)

y + 3 = -1/2x + 2

y = -1/2x - 1

Answer:

The 95% confidence interval for the true average strain is between 23.94% and 28.06%.

Step-by-step explanation:

We have the standard deviation of the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 13 - 1 = 12

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 12 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.18

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.18\frac{3.4}{\sqrt{13}} = 2.06[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 26 - 2.06 = 23.94

The upper end of the interval is the sample mean added to M. So it is 26 + 2.06 = 28.06

The 95% confidence interval for the true average strain is between 23.94% and 28.06%.

Answer:

the one thats true id "A checking account is where you want to keep your spending money and a savings account is where you want to keep your savings".

Answer:

a.

the area of each parallelogram

a. 66

b. 49

c. 25

d. 32

e. 18

Step-by-step explanation:

a parallelogram is similar to a rectangle when you are finding the ares, you use the base and the height to find the area. If it helps, like the text suggested, just change them to look like a rectangle and then find the area.

Answer: y=1/2x-2

Step-by-step explanation:

y=mx+b

2y-x=-6

2y=x-6

y=1/2x-3

y-y1=m(x-x1)

y+4=1/2(x+4)

y+4=1/2x+2

y=1/2x-2

Answer:

4

Step-by-step explanation:

Simplify the given expression by doing each operation as per the order of operations. The order of operations is a systematic way of tackling an equation, that ensures that the result attained will be true when one solves the equation; remember, the order of operations states;

1. Parenthesis

2. Exponents

3. Multiplication/ Division

4. Addition/ Subtraction

Simplify the equation by combining terms as per the order of operations;

[ ( 4 + 8 ) * 3 ] / 9

= [ 12 * 3 ] / 9

= 36 / 9

= 4

Answer:

The proportion of bricks that crack during the firing process is 0.0001 = 0.01%.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using 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 of 925 and a standard deviation of 60 degrees.

This means that [tex]\mu = 925, \sigma = 60[/tex]

The proportion of bricks that crack during the firing process is closest to

This is 1 subtracted by the pvalue of Z when X = 1150. So

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

[tex]Z = \frac{1150 - 925}{60}[/tex]

[tex]Z = 3.75[/tex]

[tex]Z = 3.75[/tex] has a pvalue of 0.9999

1 - 0.9999 = 0.0001

The proportion of bricks that crack during the firing process is 0.0001 = 0.01%.

Answer:

a.

Step-by-step explanation:

Answer:

there are 4 weeks in a month so if 45 kg is for 1 week then

Step-by-step explanation:

x=4 (weeks in a month)

=45x

=180 kg of rice

Answer:

30 inches

Step-by-step explanation:

we can use the pythagorean theorem where the legs are 24 and 18 and the hypotenuse is the diagonal

24² + 18² = c²

576 + 324 = c²

900 = c²

c = [tex]\sqrt{900}[/tex] which equals 30

Answer:

A

Step-by-step explanation:

Answer::

Step-by-step explanation:

Answer:

332.5º

Step-by-step explanation:

To convert radians to degrees, you multiply the radians by 180/π.

133π/72 • 180/π

We can see that the π's will cancel out. Therefore, we have:

133/72 • 180

Multiply.

133/72 • 180 = 23940/72

Simplify.

665/2 = 332.5

Your answer is:

332.5º

Hope this helps!

Answer:

332.5 º is the answer

Step-by-step explanation:

...

Answer:

If I understand the definitions correctly,

"surface area" would be the total of all the areas of an object, while "lateral" surface area would exclude the base

so the surface area of a square pyramid

= area of the square base + 4(area of the triangle)

That's my "formua".

In both #1 and #2 you then give dimensions H, W, and L without defining them. If the base is square, how come we have different (W)idths and (L)engths

in #3 Diameter = 8, thus radius = 4

height = 7

Thus slant height of cone = √(4^2 + 7^2) = √65

surface area = πr(r+√(h^2+r^2)

= 4π(4 + √65) = appr 151.58

or surface area = πr^2 + πrs, where s is the slant height

= π(16) + π(4√65) = 151.58

I got the same answer using 2 established methods, none of the answers given match that.

Step-by-step explanation:

i hope this helps if not im sorry

Given:

The piece-wise function is:

[tex]F(x)=\begin{cases}4&\text{ if }0\leq x<2\\3&\text{ if }2\leq x<4\\2&\text{ if }4\leq x<6\end{cases}[/tex]

To find:

The domain of the given function.

Solution:

Domain of the a function is the set of those values for which the function is defined. In other words, the set of input values is called domain.

The given function is defined for the intervals [tex]0\leq x<2,2\leq x<4,4\leq <6[/tex]. So, the domain of the given function is

[tex]Domain=\{x|0\leq x<2,2\leq x<4,4\leq <6\}[/tex]

Therefore, the correct option is B.

Answer:

True.

Step-by-step explanation:

The sum = 180 degrees.

Answer:

Your answer is in the Step by Step

Step-by-step explanation:

4=32x

We move all terms to the left:

4-(32x)=0

We move all terms containing x to the left, all other terms to the right

-32x=-4 x=-4/-32 x=1/8

Answer:

the answer is x=1/8

in the decimal form, it's x=0.125

Step-by-step explanation:

isolate the variable by dividing each side by a factor that doesn't contain the variable

hope this helps.

may I  please get a brainliest:)

Answer:

Step-by-step explanation:

Two consecutive numbers be 2x , (2x + 2)

(2x)(2x + 2) = 360

2x*2x + 2x *2 = 360

4x² + 4x = 360 {divide the equation by 4}

x² + x = 90

x² + x - 90 = 0

x² + 10x - 9x - 9*10 = 0

x(x + 10) - 9(x + 10) = 0

(x + 10)(x -9) = 0

x + 10 = 0

x = -10

2x = 2*(-10) = -20

2x + 2 = -20 + 2 = 18

(-20 , -18)

Step-by-step explanation:

1) Simplify what's inside the parentheses first which is ( 11 + 2) Simplify 11 + 2 to 13.

[tex]13 - 7[/tex]

2) Simplify 13 - 7 to 6.

[tex]6[/tex]

Therefor, the answer is 6.

Answer:

5

Step-by-step explanation:

It's an equilateral triangle

Answer:

Its 5 I think

Step-by-step explanation:

The trianlge is a isosceles triangle  so it's all equal

Answer:

the answer is 9 please I hope i get it right

Answer:

165.3 (165 and 1/3)

Step-by-step explanation:

brainliest plz

Answer:

99/8

Step-by-step explanation:

Please refer to the attachment

Answer:

The point of intersection of both diagonals is (0,1)

Step-by-step explanation:

for the parallelogram, we have the diagonals GJ and HK

Firstly, we need to get the equation of the lines that join these two points

For GJ

the general equation is;

y = mx + b

m is slope and b is y-intercept

We have the points

(-2,3) and (2,-1)

The slope m is as follows;

m = (y2-y1)/(x2-x1)

m = (-1-3)/(2-(-2) = -4/4 = -1

So we have;

y = -x + b

To get b, we substitute any of the two points

Let us use (-2,3)

x = -2 and y = 3

so we have;

3 = -1(-2) + b

3 = 2 + b

b = 3-2 = 1

so we have the equator GJ as y = -x + 1

We repeat same for HK

(4,4) and (-4,-2)

m = (-2-4)/(-4-4) = -6/-8 = 3/4

so we have;

y = 3x/4 + b

use (4,4) to get b

4 = 3/4(4) + b

4 = 3 + b

b = 1

so we have the equate;

y = 3x/4 + 1

multiply through by 4

4y = 3x + 4

To get the point of intersection, we have to solve the equations of the diagonals simultaneously

the equations are;

4y = 3x + 4

y = -x + 1

Multiply equation ii by 4 and i by 1

4y = 3x + 4

4y = -4x + 4

Subtract ii from i

0 = 7x

x = 0

To get y, use any of the equations;

y = -x + 1

y = 0 + 1

y = 1

So the point of intersection of both diagonals are;

(0,1)

Answer:

#1

#2

#3