how to bisect a 90 degree angle​

Answer:

h = 28.5 ft

Step-by-step explanation:

the 2 situations are similar, that is the triangles formed in both cases are similar.

then the ratios of corresponding sides are in proportion

let h be the height of the house , then

[tex]\frac{4.7}{h}[/tex] = [tex]\frac{9.4}{57}[/tex] ( cross- multiply )

9.4h = 4.7 × 57 = 267.9 ( divide both sides by 9.4 )

h = 28.5 ft

Answer: have started giving out meals to the homeless "49"

Answer:

Step-by-step explanation:

Let X be par.

Jenny made x-1 strokes

Jérôme made x+4 strokes.

So, we can use the amount of strokes made, but we have to use absolute value brackets ( | | )

|-1| + |4| = 5.

Jérôme made 5 more strokes than Jenny

The estimation of the fractions to the nearest whole number is [tex]5\frac{13}{40}[/tex]

The fractions are in mixed fractions. Let's convert it to improper fraction and do the arithmetic.

Therefore,

[tex]8\frac{1}{5} - 2\frac{7}{8}[/tex]

[tex]8\frac{1}{5}=\frac{41}{5}[/tex]

[tex]2\frac{7}{8} =\frac{23}{8}[/tex]

Therefore,

[tex]\frac{41}{5} -\frac{23}{8} = \frac{328-115}{40} =\frac{213}{40}[/tex]

Hence,

[tex]\frac{213}{40} =5\frac{13}{40}[/tex]

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Answer:

Souvenir = £14

Burger = £3.50

Pass = £21

Step-by-step explanation:

Souvenir = £x

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

Pass = [tex]\frac{3}{2}x[/tex]

[tex]\frac{1}{4}x + \frac{3}{2}x +x = 40 - 1.5[/tex]

[tex]\frac{1}{4}x+\frac{6}{4}x+x= 38.5[/tex]

[tex]\frac{11}{4}x = 38.5[/tex]

[tex]11x = 154[/tex]

[tex]x = 14[/tex]

Answer:

10.

=  65.144065264838 units^3

11.

The half-circle is parallel to the other circle so you can find the volume of the circle by itself. Subtract 4 from 3.6 and you should be able to find the heigh of the shape between the half circles. Multiply the Circular Slab of 3.6 by 0.4. Which gives you 1.44. (Do not take this as an answer, i tried but i dont think this was a great explanation)

Step-by-step explanation:

Using proportions, it is found that they had traveled 624 miles when Christopher fell asleep.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, Christopher fell asleep at a distance that is 65% of 960 miles, hence the distance they had traveled is given by:

D = 0.65 x 960 miles = 624 miles.

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Answer:

0.00043 in standard form is 0.00043

0.00043 in scientific notation is [tex]4.3*10^{-4}[/tex]

Step-by-step explanation:

or zero and forty three hundred thousandths

Answer:

7

Step-by-step explanation:

Because 9 can go into 63, 7 times.

The factor of the given quadratic polynomial 9x² - 12x + 4 is (3x - 2) and (3x - 2).

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The quadratic polynomial is given below.

9x² - 12x + 4

Then by the factorization, we have

9x² - 6x - 6x + 4

3x(3x - 2) - 2(3x - 2)

(3x - 2)(3x - 2)

(3x - 2)²

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Answer:

11

Step-by-step explanation:

The median is the middle number when they're in ascending or descending order.

In ascending order the numbers are;

5,7,8,9,13,13,15,20

There are two middle numbers, 9 and 13. The median is half-way between the two, which is 11

The sampling technique used is Simple Random Sampling option fourth would be the best choice.

Simple random sampling is a sampling strategy in which every item in the population has an equal probability of being chosen for the sample.

Simple random sampling selects a sample of objects at random from a population, with each item having an equal chance of being chosen.

Simple random sampling selects items for its sample from a table of random numbers or an electronic random number generator.

Thus, the sampling technique used is Simple Random Sampling option fourth would be the best choice.

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Answer: What is the easiest way to find the volume of a sphere?

Image result for How to find volume of sphere explain step by step

To calculate the volume of a sphere, use the formula v = ⁴⁄₃πr³, where r is the radius of the sphere. If you don't have the radius, you can find it by dividing the diameter by 2. Once you have the radius, plug it into the formula and solve to find the volume.

Step-by-step explanation:

Answer:

55

Step-by-step explanation:

In solving area for parralelegrams, you have to ingore the height, 40*15=55.

Answer:

Y= -21

Step-by-step explanation:

Answer:

4.51352cm

Step-by-step explanation:

The number of ways for which different sets of 10 comic books could you choose to buy will be 1.731 x 10¹³.

A permutation is an act of putting things or elements in the right sequence. Combinations are a method of picking things or pieces from a collection of objects or sets when the sequence of the objects is irrelevant.

There are 100 comic books to choose from at the local hobby store.

Then the number of ways for which different sets of 10 comic books could you choose to buy will be

Total ways = ¹⁰⁰C₁₀

Total ways = 1.731 x 10¹³

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Answer:

[tex]x=-6; y=4[/tex]

Step-by-step explanation:

Step 0: retwite the second equation by dividing LHS and RHS by 3.

[tex]x+2y=2[/tex]

Step 1: combine them as the first minus twice the second to eliminate y

[tex]I - 2\times II : 5x+4y -2x-4y=-14-4 \rightarrow 3x=-18 \rightarrow x= -6[/tex]

Step 2a: At this point I would replace the value of x in the second equation to easily solve for y.  That will give you [tex]-6+2y=2 \rightarrow y=4[/tex]. I do imagine you're required to use the same method to solve for y even if it's slower so...

Step 2b: Combine them again, taking the first minus 5 times the second to eliminate x:

[tex]I-5II: 5x+4y-5x-10y=-14-10 \rightarrow -6y=-24 \rightarrow y=4[/tex]

Answer:

[tex]0[/tex] (no change)

Step-by-step explanation:

Recall that the average rate of change of a function [tex]f(x)[/tex] over the interval [tex][a,b][/tex] is equal to [tex]\frac{f(b)-f(a)}{b-a}[/tex]:

[tex]\frac{h(b)-h(a)}{b-a}\\ \\\frac{h(6)-h(1)}{6-1}\\\\\frac{0-0}{5}\\ \\0[/tex]

Hence, the average rate of change of the function [tex]h(x)[/tex] over the interval [tex][1,6][/tex] is [tex]0[/tex], or no change.

Answer:

A, C

Step-by-step explanation:

A  True   it IS a right triangle because   5^2 + 12 ^2 = 13^2

      and scalene  because the leg legths are not =

C   always true of triangles

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Explanation:

Let B represent the unmarked angle on the left between angle A and the 145 degree angle.

Angle B and the 145 degree angle form a straight line of 180 degrees

B+145 = 180

B = 180-145

B = 35

Then use the fact that angles A and B form a 90 degree angle

A+B = 90

A+35 = 90

A = 90-35

A = 55

1 1/3

hope it helps...!!

The histogram depicts that the number shipments that had more than 20 light bulbs broken is D. 12.

A histogram simply means a graphical representation that is used to organize a group of data points into ranges.

From the complete question, the histogram shows that the number shipments that had more than 20 light bulbs broken is 12. This can be interpreted based on the ranges shown in the histogram.

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