What is the height, x, of the equilateral triangle?

What Is The Height, X, Of The Equilateral Triangle?

Answers

Answer 1

Answer:

D: [tex]4\sqrt3[/tex]

Step-by-step explanation:

Draw the height. You notice you have split the triangle in two right triangles of sides 8 (the hypotenuse), 4 (half the horizontal side) and x. Let's apply Pythagorean theorem to the triangle: [tex]8^2 = 4^2+x^2 \rightarrow 64=16+x^2 \rightarrow x^2= 48 = 4^2\times3\\x= \sqrt48 = 4\sqrt3[/tex]


Related Questions

What is the value of the expression x² + y² given x = 10 and y = 2?

A. 104
B. -98
C. 89
D. -89

Answers

It’s (a) 104

You’ll just replace the letters for the values given (10 and 2) next solve the exponents add your results together and you to 104

Answer:

A. 104

Step-by-step explanation:

PLS SOLVE I WILL GIVE BRAINLIST

Answers

Answer:

first one, u can't ride a decimal of a ride

Step-by-step explanation:

y = 7.50 + 2.50x

4/5 x 2/35 I need help pls!

Answers

Answer: 8/175

Step-by-step explanation:

Answer: 8/175

Step-by-step explanation: to multiply fractions, multiply both numerators first then the denominators.

4x2=8

35x5=175

what is 15/2 into a mixed number

Answers

7 1/2.

2 goes into 15 7 times with one left over.

What is the y-intercept of the graph of the equation 6x + 3y = 18?

Answers

My friends the answer is: x-intercept(s):  ( 3 , 0 ) y-intercept(s): ( 0 , 6 )

What is the total annual dividend received from owning 50 shares of stock A, if Company A issues a $0.10 quarterly dividend to its shareholders?
total annual dividend = [?]
Round to the nearest hundredth.​

Answers

Answer:

20 dollars

Step-by-step explanation:

.10 x 4 (each quareter) = .40

.40 x 50 = 20.00

= $20.00

Find the equation of a line that passes through the point (3,-4) and has a gradient of
-1/2.

Leave your answer in the form

y=mx+c

Answers

Point-slope form: y + 4= -0.5(x - 3)
Slope-intercept form: y = -0.5x - 2.5

Two cubes are of sides 6 inches and 8 inches respectively. Find the ratio of (a) their sides, (b) their areas on one face, (c) their volumes.​

Answers

Answer:

a. the ratio of the sides is 6: 8, or 3:4

b. the ratio of the surfaces is [tex]\frac{6\times 6}{8\times8}[/tex] or 9:16, the square of the ratio of the sides.

c. the ratio of the volumes is [tex]\frac{6\times6\times6}{8\times8\times8}[/tex] or 27:64, the cube of the ratio of the sides.

How to find area of a triangle.

Answers

Base x height divided by 2

can someone pls give me an example of an area of a trapezium

Answers

Answer:

I got this from one of my textbook for the previous years

Hope this helps:)

8.
Write the equation of the parabola in vertex form.



A. y = –x^2 + 4

B. y = –x^2 + 3

C. y = –(x – 1)^2 + 3

D. y = –x^2 – 4

Answers

Answer:

A. y = –x^2 + 4

Step-by-step explanation:

Find the vertex form.

y = − ( x + 0 ) 2 + 4

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Down

Vertex:  

( 0 , 4 )

Focus:  

( 0 , 15 /4 )

Axis of Symmetry:  

x = 0

Directrix:  

y

=

17

4

x

y

2

0

1

3

0

4

1

3

2

0

║3x²+x+5║= 5x²- 3x+ 7

Answers

Is this what you needed ?

Is the equation y + 1 = 5(x + 3) in point-slope form? Justify your answer.

Answers

Answer:

The given equation is in point-slope form. The slope is 5 and is seen on the right side before the parentheses. The point is (-3, -1).

Hope this helps! :)

Answer:

Yes

Step-by-step explanation:

The equation y + 1 = 5(x  + 3) is in point slope form. Point slope form is y - y1 = m(x - x1). In the given equation the point would be (-3, -1) with a slope of 5.

(334)÷(−212) dive it

Answers

The answer to the equation is -1.5754

mitchels room measures 10 inches by 6 inches on a scale drawing. what are the actual measermets of his room (in feet) of he uses a scale of 1 to 24?
width height

Answers

Answer:

20 ft by 12 ft

Step-by-step explanation:

(10 in x 24) / 12 ft = (240 in / 12 ft) = 20 ft

(6 in x 24) / 12 ft = (144 in / 12 ft) = 12 ft

What is the Value of (-0.5) (-7.0)?

Answers

the answer is (-0.5) (-7.0)= 3.5

During a job interview, you are asked to rate on a scale of 1 to 5 how happy you are. What type of test is the interviewer giving you

Answers

Answer:

Probably how much you want this job, if you say 0, than they are prob gonna assume you dont want to do this job, and you wont do your best. If you say 5, then you do want this job and your excited and youll give your all

Step-by-step explanation:

Questions regarding the level of excitement or happiness of one's self are called mental health or happiness test.

Happiness test are administered to evaluate personal feeling of excitement, hence, it cannot be taken on one's behalf as they are personified information.

Happiness test are usually structured as "How happy are you". Hence, they are direct and usually measured using an Ordinal scale.

Hence, the type of test on this context is Happiness test.

Learn more ::https://brainly.com/question/3565320

HELP ME PLEASE!!!!!!!!!!!!

Answers

Answer:

Your first equation y=1/2(1+0.3)^t is going to be growth

Your second equation y=0.3(0.95)^t is going to be decay

Your third equation y=((1+0.03)^1/2)^2t is going to be growth

your fourth equation y=200(0.73)^t is going to be decay

your last equation y=4(1/4)^t is going to be decay

Step-by-step explanation:

You can find this by graphing each of you equations on desmos

Answer:

Step-by-step explanation:

See attachment

Use properties to evaluate (-25) HIS O A. – 15 5 O B. 5 C. - OC. 15 O D. 1​

Answers

Answer:

-15/4

Step-by-step explanation:

Answer: Its - 15/4 or 05/12 but the person above me is correct

Step-by-step explanation:

PLEASE ONLY ANSWER IF YOU KNOW THE CORRECT ANSWER!! I APPRECIATE IT THANK YOUUUU




Which relation is a function

Answers

Answer: The top right one

Step-by-step explanation: A function means that each input has exactly ONE output, so no x coordinate can have more than one y. The top right is the only one that fits that description. You can check to see if a point is exactly above a given point.

Whoever helps me with this I'll give brainliest and extra points! :)

Answers

What are the options

HELPPPPPP plsssssssssss

Answers

Answer:

270°

Step-by-step explanation:

∠ PQR = 90° ( angle in a semicircle )

PRST is a cyclic quadrilateral

The opposite angles in a cyclic quadrilateral are supplementary, sum to 180°

Then

∠ PRS + ∠ PTS = 180°

∠ PQR + ∠ PRS + ∠ PTS = 90° + 180° = 270°

I don’t know how to do this…

Answers

Step-by-step explanation:

f^-1 means the inverse function that finds the x responsible for the creation of a given y (functional result) value.

y = 3x - 1

3x = y + 1

x = 1/3(y + 1)

and now we rename x to y and y to x, so that we get a normal function definition :

y = 1/3(x + 1) = (1/3)x + 1/3

now we create the first derivative d/dx of this function :

y' = 1/3

since both f(x) and f^‐1(x) are line functions with a constant slope, it is not surprising that the first derivative (the function of the slope of the base function) is a constant function.

so, for any value of x (incl. the requested x = 11) d/dx f^-1(x) = 1/3.

therefore also d/dx f^-1(11) = 1/3.

y = 2×sqrt(x)

sqrt(x) = y/2

x = y²/4

again we rename the variables, so that we get a normal function definition for the inverse function :

y = x²/4

the first derivative is :

y' = 2x/4 = x/2

so, d/dx f^-1(6) = 6/2 = 3

Use the inverse function theorem: if f(x) is continuously differentiable at x = a, and given f(a) = b, then f is invertible around x = a, and

[tex]\left(f^{-1}\right)'(b) = \dfrac1{f'(a)}[/tex]

Both the given functions f(x) meet the conditions above. Note that you don't need to actually compute the inverse function itself.

If f(x) = 3x - 1, then f(x) = 11 when

3x - 1 = 11   ⇒   3x = 12   ⇒   x = 4

Now if f(4) = 11, it follows from the inverse function theorem that

[tex]\left(f^{-1}\right)'(11) = \dfrac1{f'(4)} = \boxed{\dfrac13}[/tex]

since f'(x) = 3.

If f(x) = 2√x, then f(x) = 6 when

2√x = 6   ⇒   √x = 3   ⇒   x = ±9

But note that f(x) is defined only for x ≥ 0, so we must take x = 9. Now if f(9) = 6, the inverse function theorem says

[tex]\left(f^{-1}\right)'(6) = \dfrac1{f'(9)} = \dfrac1{\frac1{\sqrt9}} = \boxed{3}[/tex]

since f'(x) = 1/√x.

10. What is the value of c? ​

Answers

Answer:

VALUE OF C = SUCK IT BRO

Step-by-step explanation:

Evaluate. (4/5)^3this is a fraction, and an exponent, not 4 divided by 5, please get answer in quickly.

Answers

Answer:

[tex]\frac{64}{125}[/tex]

Step-by-step explanation:

[tex]\frac{4}{5} ^{3}[/tex]

To solve this you would cube the numerator and then the denominator:

4³ = 645³ = 125

The answer is [tex]\frac{64}{125}[/tex]

Hope this helps!

A cylinder has a base radius of 10m and a height of 18m. What is its volume in cubic m, to the nearest tenths place?

Answers

Based on the question, the volume of the cylinder is approximately 56,520 cubic meters.

What is the cylinder  volume?

The formula for the volume of a cylinder is seen as:

V = πr²h

where

V  = volume

r =  radius of the base

h = height of the cylinder.

Then by Substituting the given values, we will have:

V = π(10m)²(18m)

= π(100m²)(18m)

= 18000π cubic meters

To be able to  find the value to the nearest tenths place, we need to use π ≈ 3.14. hence:

V ≈ 18000 × 3.14

= 56520 cubic meters

Therefore, the volume of the cylinder is about 56,520 cubic meters to the nearest tenths place.

Learn more about cylinder  from

https://brainly.com/question/9554871

#SPJ1

Harvey is studying the polynomial f(x) = (4x – 3)(x – 3)(x2 +5) and determines that the polynomial has four real roots. Do you agree or disagree with Harvey’s statement? Explain your reasoning.
A.yes because there are 4 roots
B.yes because complex solutions do not matter
C.yes because when I solve he gets 4 x intercepts
D.no because there are two complex solutions

Answers

Yes because when I solve he gets 4 x-intercepts. The x-intercept is a point where the y value is zero.

The degree of a polynomial always determines the number of roots such polynomial function will have;

Given the polynomial function studied by Harvey as g(x) = (4x – 3)(x – 3)(x2 +5)

Taking the product of the leading variables

g(x) = (4x – 3)(x – 3)(x2 +5)

g(x) = 4x(x) (x^2)

g(x) = 4x^4

Since the degree of the polynomial is 4, hence the polynomial has four real roots.

Learn more here: https://brainly.com/question/16821812

Area of the figure 4cm 4cm 12cm and 8cm

Answers

Show an attached image of the figure or add labels. Each shape has a different formula for it and we need to know what it looks like to solve

Would appreciate your help a lot!

Answers

Answer:

None of those answers are right. It should be

[tex] - \frac{23}{24} [/tex]

Step-by-step explanation:

You have to find common denominators first. Multiply -5/6 by 4/4 to get -20/24. Multiply 1/8 by 3/3 to get 3/24.

[tex] - \frac{20}{24} = z + \frac{3}{24} [/tex]

Subtract 3/24 from both sides since it is being added.

[tex] - \frac{20}{24} = z + \frac{3}{24} \\ - \frac{3}{24} \: \: \: \: \: \: \: \: \: \: - \frac{3}{24} [/tex]

Since there are two negatives on the left, add the fractions together and keep the negative sign.

[tex] - \frac{23}{24} = z[/tex]

You cannot reduce this fraction.

For a 100 ponits : 13+(-19)=

ANSWER:

Answers

Answer:

-6

Step-by-step explanation:

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