Mathematics High School

A. 4√29/ 7 feet
b. 4√5 feet
c.√164 feet
d. 2√41

Answers

Answer 1

Answer:

These two triangles are similar triangles. This means that their side lengths are proportional to each other.

Thus, making line segment EC equal to "x", and BC equal to "y" we can write:

8/y = 28/(10+y)

The next step is to get rid of the fractions, which can be done by cross multiplying.

So we have:

8(10+y) = 28(y)

After distribution and some simplification, you should get the value of y.

80+8y = 28y

80 = 20y

80/20 = 20y/20

4 = y

y = 4

Knowing that y = BC, and y = 4, it is clear that BC = 4.

Since BC = 4, one can use the Pythagorean Theorem to solve for segment EC.

Pythagorean Theorem: a^2 + b^2 = c^2, where a and b are the side lengths of a right triangle, and c is the hypotenuse (in other words the longest side)

In our case, a and b are 8 and 4 (the order doesn't really matter here).

So we have: 8^2 + 4^2 = c^2

64 + 16 = c^2

80 = c^2

c = sqrt 80

c = 4 sqrt 5

And we arrive at the answer- EC = 4 sqrt 5, making B the correct choice.

Hope this helps!

Related Questions

Solve for u. 42 = –7(u + 41)

Answers

Answer:

u = -47

Step-by-step explanation:

42 = -7(u + 41)

42 = -7u - 287

329 = -7u

u = -47

Espanol
Ivanna is driving to Seattle. Let y represent her distance from Seattle (in miles). Let x represent the time she
has been driving in hours). Suppose that x and y are related by the equation y=-55x+325.
Answer the questions below.
Note that a change can be an increase or a decrease.
For an increase use a positive number. For a decrease, use a negative number

Answers

Answer:

gnkzxgjtsrhajrkzgk(_•{5(6/8&9-9-kakjwnwwh

How do you make x the subject of the formula?
I need help on this one
y= 7x-1

Answers

Answer:

x=[tex]\frac{y+1}{7}[/tex]

Step-by-step explanation:

Hi there!

We want to make x the subject of the formula, which means to solve the formula for x

Here is the given formula:

y=7x-1

Our ultimate goal is to isolate x onto one side

Start by subtracting 7x from both sides

y-7x=-1

Subtract y from both sides to remove it from the left side

-7x=-y-1

Divide both sides by 7

x=[tex]\frac{-y-1}{-7}[/tex]

Simplify (factor -1 out of the numerator and denominator, then cancel it out)

x=[tex]\frac{-1(y+1)}{(-1)(7)}[/tex]

x=[tex]\frac{y+1}{7}[/tex]

Hope this helps!

Answer:

x = 1/7(y+1)

x = 1/7 y + 1/7

Step-by-step explanation:

y= 7x-1

Solve for x

Add 1 to each side

y+1 = 7x-1+1

y+1 = 7x

Divide each side by 7

1/7(y+1) = 7x/7

1/7y + 1/7 =x

find the missing side lengths answers are in simplest radical form with the denominator rationalized

Answers

Answer: Choice C

Explanation:

For any 30-60-90 triangle, the short leg is half of the hypotenuse. The short leg is opposite the smallest angle 30 degrees.

So this means n = 10/2 = 5

Because n = 5, there's only one answer choice that fits and it's choice C.

please help (picture) its due in an hour

Answers

Answer:

a) 6x-8

b) -18x^2-15

c) x^4+2x^3+7x^2

Which is a factor of x2 + 5x - 24?
(x - 6)
(x + 6)
(x-8)
(X + 8)

Answers

Answer:

[tex](x + 8)(x - 3)[/tex]

Step-by-step explanation:

[tex] {x}^{2} + 5x - 24[/tex]

[tex] {x}^{2} + 8x - 3x - 24[/tex]

Factor by grouping

[tex](x + 8)(x - 3)[/tex]

What is the area of Triangle PQR on the grid?

A triangle PQR is shown on a grid. The vertex P is on ordered pair 7 and 6, vertex Q is on ordered pair 1 and 6, and the vertex R is on ordered pair 4 and 2.

5 square units
6 square units
10 square units
12 square units

Answers

Answer: D) 12 square units

Explanation:

The base is QP = 6 units long.

The height is always perpendicular to the base, and the height is 4 units.

area = 0.5*base*height

area = 0.5*6*4

area = 3*4

area = 12 square units

Answer:

Step-by-step explanation:

How would you define a pair of parallel lines?

Answers

Answer:

We say that two lines (on the same plane) are parallel to each other if they never intersect each other, ragardless of how far they are extended on either side. Pictorially, parallel lines run along each other like the tracks of a train.

Hope this helps <3

What is the cost of buying 5 kg of cheese worth
$9.00 per kg?

Answers

$45

Hope this helps you

Cost of 1 kg = $9

So, cost of 5 kg = $9 × 5 = $45

Find the unit rate of miles per gallon for these vehicles

Answers

Answer:

Step-by-step explanation:

o find the unit rate , divide the numerator and denominator of the given rate by the denominator of the given rate.

start with the rate of miles to gallons . then divide , write as a rate.

hope this helps.

where are the following vehicles name

Please help me determine this guys

Answers

this graph is a correct representation of the given quality! What I did was plug it into this online graphing calculator called desmos, you can use that!!

The sum of three times a number and 6 is 4 times the difference of a number and "-3"

Answers

Answer:

x = 30

Step-by-step explanation:

i hope it help, sorry if its wrong

find the inequality represented by the graph

would I write it y is more than or equal to -2x-5 ?

Answers

Answer:

y ≥ -2x-5

you use the greater than and equals to sign

hlp mehhhhhhhhh plsssssssss

Answers

Answer:

graph - A

Step-by-step explanation:

Luna flew from Boston to Orlando with a stop in Atlanta to switch planes. The flight from Boston to Atlanta was 3 hours and 30 minutes long. Luna was in Atlanta for 1 hour and 30 minutes, and her flight from Atlanta to Orlando was 1 hour and 15 minutes long. Luna landed in Orlando at 1:45 P.M. What time did Luna's first flight leave Boston?

Answers

Answer:

1:15 minuites

Step-by-step explanation:

30 minuites

Answer:

8:30 A.M.

Step-by-step explanation:

Start by adding up the total time spent traveling.

3h 30min + 1h 30min + 1h 15 min = 5h 15 min

If she arrived in Orlando at 1:45 P.M., count back 5 h 15 min.

1:45 - 15 min = 1:30 - 5h = 8:30 A.M.

Which sequence is geometric?
•1, 5, 9, 13
•2, 6, 8, 10
•5, 7, 9, 11
•4, 8, 16, 32

Answers

Answer:

Step-by-step explanation:

now z also a dk4k ak4 smka 4ml 4 LL

Can anyone help me with this please and thank you

Answers

Answer:

x=0, 7

Step-by-step explanation:

x^2-3x=4x

x^2-7x=0

x(x-7)=0

x=0 or 7

Answer:

x=0 x=7

Step-by-step explanation:

x^2 -3x = 4x

Subtract 4x from each side

x^2 -3x-4x=0

x^2 -7x = 0

Factor out an x

x(x-7) =0

Using the zero product property

x=0 x-7 =0

x=0 x=7

HELP MEE
What is the LCM of 9 and 12?

24

36

3

12

Answers

The answer is definitely 36

Answer:

It is 36

Step-by-step explanation:

Hopefully this help

Have a good day bye

Explain why cos(-3π/4)=cos(5π/4).

Answers

Answer:

Step-by-step explanation:

Because the cosine is a positive function from which we can deduce [tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\dddddd \displaystyle \Large \boldsymbol{Rule : cos(-\alpha)=cos\alpha } \\\\\\ \cos\bigg(\frac{-3\pi }{4} \bigg)=cos135=-sin45=-\frac{\sqrt{2} }{2} \\\\\\cos\bigg(\frac{5\pi }{4} \bigg)=cos225=-sin45=-\frac{\sqrt{2} }{2}[/tex] Therefore, they are equal

factorize 3x²-11x-20

Answers

Hello this is the answer, hope it helped :)

What is the domain of the given function? {x | x = -6, -1,0,3}, { y | y = -7,-2,1,9}, {x | x = -7, -6, -2, -1, 0, 1, 3 , 9}, { y | y = -7, -6 , -2 , -1 , 0 , 1 , 3 , 9}

Answers

Answer:

domain = {-6,-7,-7,-7}

Answer is Indians onyl answer kindergarten level super simple questions

Amy walks from point A to point B along the segment AB. Fraser walks from point A to point C along the segment AC. Which statement is correct?

Your answer:

Amy walks a distance equal to the diameter, and Fraser walks a distance equal to the radius of the lawn.

Both Amy and Fraser walk distances equal to the radius of the lawn.

Both Amy and Fraser walk distances equal to the diameter of the lawn.

Amy walks a distance equal to the radius, and Fraser walks a distance equal to the diameter of the lawn.

Answers

Answer: the answer is

the option

B) Amy walks a distance equal to the radius, and Fraser walks a distance equal to the diameter of the lawn.

Step-by-step explanation:

In ΔABC, the measure of ∠C=90°, AC = 40, BA = 41, and CB = 9. What is the value of the tangent of ∠B to the nearest hundredth? *WILL MARK BRAINLIEST*

Answers

Answer:

4.44

Step-by-step explanation:

The tangent of B is the relation of the opposite cathetus to the lying cathetus

tg B= AC/CB= 40/9= 4.44

The value of the tangent of angle B is 4.4.

What is the tangent of an angle?

In trigonometry, the tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.

In other words, it is the ratio of sine and cosine function of an acute angle such that the value of cosine function should not equal to zero.

Given that, a right triangle Δ ABC, the measure of ∠C = 90°, AC = 40, BA = 41, and CB = 9. We need to find the value of the tangent of ∠B,

So, here,

The opposite side = AC and the adjacent side = CB

So, tan B = AC / CB = 40/9 = 4.4

Hence, the value of the tangent of angle B is 4.4.

Learn more about tangent of an angle, click;

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please help me please i will give brainliest

Answers

Answer:

2.6

Step-by-step explanation:

espero ter ajudado

ANSWER AS FAST A POSSIBLE PLS!

156-3^2x5-8^2

Answers

Answer:

Step-by-step explanation:

first of all simply the ones with powers and you will get 156-9*5-64 then multiply and you will get 156-45-64 simplify and the answer is 47

What is −1280 as a decimal?

Answers

Answer:

-1280.0

Step-by-step explanation:

It is a whole number

if you want to show it as a decimal,

put ' .0 ' at the end of the whole number. That is,

=> -1280.0

Which angles are supplementary to each other?

Angle 5 and Angle 2
Angle 3 and Angle 8
Angle 8 and Angle 5
Angle 8 and Angle 6

Answers

angle 8 and 5 are supplementary angle

Round each to the nearest cent.
$21.277
$967.46

Answers

Answer:

21.28 and 967.46

Hope it helps have a good night :)))))))))))))))))

1. Find 3 equivalent fraction for the following: a) 5/6 b) 7/11 c) 9/7

Answers

Answer:

Step-by-step explanation:

To find equivalent fractions, multiply the numerator and the denominator by the same table.

a) 5/6

[tex]\frac{5*2}{6*2}=\frac{10}{12}\\\\\frac{5*3}{6*3}=\frac{15}{18}\\\\\frac{5*4}{6*4}=\frac{20}{24}[/tex]

b) 7/11

[tex]\frac{7*3}{11*3}=\frac{21}{33}\\\\\frac{7*4}{11*4}=\frac{28}{44}\\\\\frac{7*5}{11*5}=\frac{35}{55}[/tex]

c)9/7

[tex]\frac{9*2}{7*2}=\frac{18}{14}\\\\\frac{9*5}{7*5}=\frac{45}{35}\\\\\frac{9*10}{7*10}=\frac{90}{70}[/tex]

If patient's current ledger balance is $238.00, the patient's fees for today are $117 and the patient paid $100.00 today, what is the patient's new balance:

Answers

Answer:

$138

but if the 117 was paid it would be $21

Step-by-step explanation:

The patient's new balance is $255

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Given;

Patient's current ledger balance = $238.00

The patient's fees for today = $117

The patient paid $100.00 today

Now, balance including todays pay= $238.00+$117

=$355

Patient payed 100 so,

=355-100

=255

Therefore, the answer of this algebraic problem will be $255

More about the Algebra link is given below.

brainly.com/question/953809

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A. 4√29/ 7 feet b. 4√5 feet c.√164 feet d. 2√41

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A. 4√29/ 7 feet
b. 4√5 feet
c.√164 feet
d. 2√41