Solve for x. Choose the best simplified radical answer where applicable. NO LINKS!!

Answers

Answer 1

Answer:

d. x = 10 (the correct answer is marked)

Step-by-step explanation:

The Pythagorean theorem tells you the sum of the squares of the sides of a right triangle is the square of the hypotenuse.

x² +4² = (2√29)²

x² +16 = 116 . . . compute the squares

x² = 100 . . . . subtract 16

x = 10 . . . . take the square root

Answer 2

Answer:

d) [tex]\sf x=10[/tex]

Step-by-step explanation:

Pythagoras' Theorem: [tex]\sf a^2+b^2=c^2[/tex]

(where [tex]\sf a[/tex] and [tex]\sf b[/tex] are the legs, and [tex]\sf c[/tex] is the hypotenuse, of a right triangle)

Given:

[tex]\sf a=4[/tex][tex]\sf b=x[/tex][tex]\sf c=2\sqrt{29}[/tex]

Substituting these values into the equation and solving for [tex]\sf x[/tex]:

[tex]\sf \implies 4^2+x^2=(2\sqrt{29})^2[/tex]

[tex]\sf \implies 16+x^2=116[/tex]

[tex]\sf \implies x^2=116-16[/tex]

[tex]\sf \implies x^2=100[/tex]

[tex]\sf \implies x=\pm \sqrt{100}[/tex]

[tex]\sf \implies x=\pm10[/tex]

Since distance is positive, [tex]\sf x=10[/tex] only

Therefore, the answer is d) [tex]\sf x=10[/tex].

Related Questions

Rendell cycles 42 km at an average speed of 18 km/hr. Find the time taken, giving your
answer as a fraction of an hour in its simplest form.

Answers

Answer:

[tex]\frac{7}{3}[/tex]

Step-by-step explanation:

42/18=[tex]\frac{7}{3}[/tex]

Rendell took 2.34 hr to cycle 42 km.

Rendell cycles 42 km at an average speed of 18 km/hr.
Distance = 42 km
Speed = 18 km/hr

What is speed?

Speed is define as the distance covered per unit time,

Here,
Time = Distance / speed
= 42 / 18
= 2.34 hr

Thus, Rendell took 2.34 hr to cycle 42 km.

Learn more about speed here:
https://brainly.com/question/7359669

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Cube the following numbers.
a. 1
b. 2
c. 4
d. 8

Answers

Answer:

I need to know the equation, but if you have to cube them then you will find your answer right away if you google how to cube numbers.

Step-by-step explanation:

Sorry for the bad answer.

If y(x) = 4x, what is x when y(x) = 4?

Answers

Replace y(x) with 4:

4 = 4x

Divide both sides by 4:

x = 1

The formula of the diameter, radius, and area of a circle.

Answers

Answer:

Step-by-step explanation:

diameter = 2r
radius = C/2π
area = πr^2

Allison spent a total of $16.20 for lunch including tax and a tip. She paid 8% sales tax on her purchase and then left a tip equivalent to 20% of her total bill including tax. What was the cost of Allison’s meal, before tax and tip?

Answers

Answer:good job!

Step-by-step explanation:

Step-by-step

On a coordinate plane, a straight line and a parallelogram are shown. The straight line has a negative slope and has a formula of y = negative x. The parallelogram has points G (negative 2, negative 3), F (1, negative 3), E (negative 1, negative 5), and H (2, negative 5).

What are the coordinates of the image of vertex F after a reflection across the line
y = –x?

A. (–1, –3)
B. (3, –1)
C. (1, 3)
D. (–3, 1)

Answers

Answer:

B. (3, –1)

Step-by-step explanation:

Reflection in the line y=-x is described by the transformation ...

(x, y) ⇒ (-y, -x)

Then the point of interest becomes ...

F(1, -3) ⇒ F'(3, -1) . . . . matches choice B

Answer:

The correct answer is B

Step-by-step explanation:

This is correct because it is correct

On her way home from work, Sandra fills up her car. She likes the idea of using gasoline with ethanol, but thinks her car can only handle 30% ethanol. At the gas station, she can use regular gas with 10% ethanol or E70 fuel with 70% ethanol.

How many gallons of each type of fuel should Sandra use if she wants to fill up her car with 9 gallons of fuel containing 30% ethanol?

Answers

Answer:

6 gallons of 10% ethanol gas and 3 gallons of the E70 fuel.

Step-by-step explanation:

Let the volume of 10% ethanol gas be x gallons and the volume of 70% be y gallons.

The resulting mixture ( 9 gallons) must have a strength of 30% ethanol.

SO WE HAVE THE SYSTEM:

x + y = 9

0.10x + 0.70y = 0.30 * 9

0.10x + 0.70y = 2.7

Multiplying the first equation by -0.10:

-0.10x - 0.10y = -0.9

Adding the last 2 equations:

0 + 0.60y = 1.8

y = 1.8 / 0.6 = 3 gallons.

So x = 9 - 3 = 6 gallons.

6 gallons of 10% ethanol gas and 3 gallons of the E70 fuel.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Let the volume of 10% ethanol gas be x gallons and the volume of 70% be y gallons.

The resulting mixture ( 9 gallons) must have a strength of 30% ethanol.

x + y = 9

0.10x + 0.70y = 0.30 * 9

0.10x + 0.70y = 2.7

Multiplying the first equation by -0.10:

-0.10x - 0.10y = -0.9

Adding the last 2 equations:

0 + 0.60y = 1.8

y = 1.8 / 0.6 = 3 gallons.

So x = 9 - 3 = 6 gallons.

To know more about an expression follow

https://brainly.com/question/17277463

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Try This question out and I’ll give you brainliest

Answers

Answer:

7/12ths

Step-by-step explanation:

2/3rds of the way full would be 8/12. Since she started at 1/12th of a tank, 7/12ths was added. (:

The Answer Is 7/12ths

What is the distance from m(-1,6) to n(11,1)

Answers

Soln:

Let m(-1,6) be (x1, y1) & n(11,1) be (x2, y2).

Now,

Use distance formula and calculate it

Twice the sum of a number and 9 is 30.

Slove equation

Answers

Answer:

6 and 9 twice is 30

Step-by-step explanation:

6 plus 9 is 15 twice is 30

Answer:

10.5

Step-by-step explanation:

30 - 9 = 21

21 ÷ 2 = 10.5

A population of beetles are growing according to a linear growth model. The initial population (week 0) is
P
0
=
5
, and the population after 7 weeks is
P
7
=
47
.
After how many weeks will the beetle population reach 113?

Answers

9514 1404 393

Answer:

18 weeks

Step-by-step explanation:

We are given the (time, population) pairs (0, 5) and (7, 47). With these values, we can use the two-point form of the equation of a line to write the equation of the linear model.

p = (p2 -p1)/(t2 -t1)(t -t1) +p1

p = (47 -5)/(7 -0)(t -0) +5

p = 6t +5 . . . . . the linear model matching the given points.

For p = 113, the time (number of weeks) is ...

113 = 6t +5

108 = 6t . . . . . . subtract 5

18 = t . . . . . . . . . divide by 6

After 18 weeks, the beetle population will reach 113.

Help help math math ASAP

Answers

Answer:

y equals to x plus 9

Step-by-step explanation:

-x+y=9

so, y=x+9

20 - (+7) + - (6) = whats the answer

Answers

20 - (+7) + - (6)

Answer: 7

Answer:

Answer is 7

20-(+7)+(-6)= ?

(20-7)-6

13-6

A vertical wall AB which is 5m high was built on level ground. The distance of a point C on the ground from the base of the wall is 12m. Calculate the distance from the top of the wall to the point C..

Answers

It’s best to draw a triangle and label each point and write the known sides. Then use the Pythagorean Theorem to find the missing side. The distance from the top of the wall, which is point A to point C is 13 m.

a) Write down the value of angle x.
b) Write down the value of angle y.

HELP PLS

Answers

Answer:

A) is 49 degrees and B) is 63

Step-by-step explanation:

they are kinda like mirrors

X is 49 and y is 63 degrees

(6 points) which answer describe the shape below? Check all that apply

Answers

A, B, and D I believe. Tell me if I’m incorrect. Hope this helps. Good luck in your learning journey

What is the slope of the line that passes through the points (-8, -6) and (-8,4)?
Write your answer in simplest form.

Answers

(-8,-6)(-8,4)

[tex]\\ \rm\rightarrowtail m=\dfrac{4+6}{-8+8}[/tex]

[tex]\\ \rm\rightarrowtail m=10/0[/tex]

Parallel to x axis

[tex]\\ \rm\rightarrowtail m=\infty[/tex]

the length of a rectangle is 4 times it’s width. The rectangle has an area of 1024cm squared

Answers

[tex]Your answer it W^2 = 1024/4 = 256.[/tex]

Step-by-step explanation:

(HELP) What is the length of xy in xyz?

Answers

Answer:

xy=6

Step-by-step explanation:

sin θ= opposite side÷ hypotenuse

sin 30°= xy÷12

sin 30°=1/2

Therefore,

1/2=xy÷12

1/2×12=xy

xy=6

help me please if that's okay , thank you sm

Answers

Answer:

9. is true

10. is false

hope this helps

Step-by-step explanation:

9 is true and 10 is true as well

Need help with math probelm if do 5 stars and brainly points

Answers

Answer:

63 units^2

Step-by-step explanation:

the area of the rectangle is 48 units^2

l*h=a

6*8=a

48=a

The area of the triangle is 15 units^2

b*h/2=a

6*5/2=a

30/2=a

15=a

Let me know if you have any further questions, hope this helped!

Your teacher asks the class to evaluate the expression (3³)¹. Your classmate gives an incorrect answer of 81. Evaluate the expression. Then find the likely error.

Answers

The most likely error is that, the student multiplied 27 by 3, after the first computation

What are expressions?

Expressions are mathematical statements that are represented by variables, coefficients and operators

How to determine the error in the calculation?

The expression is given as

(3^3)^1

As a general rule, we start by evaluating the expression in the inner bracket

So, we have

(3^3)^1 = (3 x 3 x 3)^1

Evaluate the products

So, we have

(3^3)^1 = (27)^1

Next, we evaluate the exponent

So, we have

(3^3)^1 = 27

The above implies that the value of the expression is 27 and not 81 as the student solved

The most likely error is that, the student multiplied 27 by 3, after the first computation

Hence, the value of the expression is 27 and not 81 and the most likely error is that, the student multiplied 27 by 3, after the first computation

Answers

5.) yes it is possible if the lines are parallel because they won’t intersect

skew lines can be drawn in three dimensional plane only.

Given f(x) = 3x - 5 and g(x) = -2x + 1, find h(x) = f(x) - g(x)

Answers

Answer:

h(X)=5x-6

Step-by-step explanation:

Fill in variables with corresponding equations.

h(X)=(3X-5)-(-2X+1)

Distribute the - sign to (-2X+1)

h(X)=3X-5+2X-1

Add and subtract values together to find answer

h(X)=5X-6

ts
Find the quotient.
5
14)154
O 10
O 10.5
O 11
O 11.7

Answers

Answer:11/c

Step-by-step explanation:

find the area of a triangle if do math problem 5 stars and brainly points

Answers

Answer:

Step-by-step explanation:

area of a triangle = 1/2 ( base length * height )

given base length : 6

given height : 8

area of triangle = 1/2(8*6)

==> multiply 8 and 6

area of triangle = 1/2(48)

==> multiply 1/2 and 48

area of triangle = 24 square units

Simplify the following expression

Answers

Answer:

Step-by-step explanation:

13. Find the area of the triangle given a = 14, b = 9, and C = 66 degrees. Round your answer to the nearest tenth.

14. Find the area of the triangle given a = 38, b = 31, and C = 29 degrees. Round your answer to the nearest tenth.

15. Find the area of the triangle given b = 17, c = 19, and A = 135 degrees. Round your answer to the nearest tenth.

Answers

Answer:

13) 57.6 units²

14) 285.6 units²

15) 114.2 units²

(All answers rounded off to the nearest tenth)

Step-by-step explanation:

Please see the attached picture for the full solution.

A graduate student is performing a study on a new anti-anxiety drug. The drug is supposed to reduce anxiety, but the graduate student realizes that it may do nothing or even increase anxiety, so he decides to formulate non directional hypotheses and conduct a two-tailed test. He knows that the average score for all anxious people is μ₀ = 100, with a standard deviation of σ = 14. If he designates the mean for the population of anxious people who take the anti-anxiety drug as μ anti-anxiety drug anti-anxiety drug , he can identify the null and alternative hypotheses as:

Answers

Answer:

hello your question is incomplete attached below is the complete question

Answer : The standard deviation of the scores on the anxiety inventory is the same for those who take the anti-anxiety drug and those who don't

Step-by-step explanation:

average score for anxious people = 100

standard deviation = 14

mean of anxious people who take the anti-anxiety drug

null hypothesis ( H ) =

Alternate hypothesis ( H1 ) ≠

using the z- test ( hypothesis test ) the condition that is not required is the condition that

The standard deviation of the scores on the anxiety inventory is the same for those who take the anti-anxiety drug and those who don't

What is the slope between the points (–2, 1) and (2, 6)?

5/4

-4/5

4/5

-5/4

Answers

To find the slope, we must know the equation

--> [tex]slope = \frac{y2-y1}{x2-x1}\\[/tex]

Now using the information given, (-2,1) and (2,6), let's plug that into the equation

--> [tex]slope = \frac{6-1}{2--2} = \frac{5}{4}[/tex]

In this case, the slope is 5/4

Hope that helped!

Answer:

[tex]\rn\hookrightarrow 5/4[/tex]

Step-by-step explanation:

[tex]Solution,\\\\Let,\\(x_1,y_1)=(-2,1)\\\\(x_2,y_2)=(2,6)\\\\Now,\\\\\rn\hookrightarrow Slope=\frac{y_2-y_1}{x_2-x_1}\\\\\rn\hookrightarrow Slope=\frac{6-1}{2-(-2)} \\\\\rn\hookrightarrow Slope=\frac{5}{4}[/tex]

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Solve for x. Choose the best simplified radical answer where applicable. NO LINKS!!​

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Solve for x. Choose the best simplified radical answer where applicable. NO LINKS!!