Find the value of the variable(s). If your answer is not an integer, leave it in simplest radical form.

Answers

Answer 1

Answer:

[tex]x =5\sqrt 3[/tex]

Step-by-step explanation:

Given

See attachment for triangle

Required

Find x

To do this, we make use of Pythagoras theorem

[tex]x^2 + 5^2 = 10^2[/tex]

Solve the exponents

[tex]x^2 + 25 = 100[/tex]

Collect like terms

[tex]x^2 =- 25 + 100[/tex]

[tex]x^2 =75[/tex]

Take square roots

[tex]x =\sqrt{75[/tex]

Expand

[tex]x =\sqrt{25*3[/tex]

Split

[tex]x =\sqrt{25}*\sqrt 3[/tex]

[tex]x =5\sqrt 3[/tex]

Find The Value Of The Variable(s). If Your Answer Is Not An Integer, Leave It In Simplest Radical Form.

Related Questions

i need help with this problem

Answers

Answer:

Step-by-step explanation:

Her angle of depression is the same measure as the angle of inclination inside the triangle. That's the base angle that is not the right angle. The height of the triangle is the 10,000 feet she is up in the air, and the reference angle is 20, and we are looking for the measure of the base of this right triangle. The trig ratio that uses the side opposite over the side adjacent is the tangent ratio:

[tex]tan(20)=\frac{10000}{x}[/tex] and

[tex]x=\frac{10000}{tan20}[/tex] so

x = 27474.77 feet

I NEED THIS NOW NO LINKS OR ILL REPORT PLZZZ

Answers

Answer:

2x + 4

Step-by-step explanation

Answer:

it's B, because 2*x and 2*-6 give 2x-12+16 which is 2x+4

Which is the graph of y - 3 = -2/3(x + 6)?

Answers

Answer:

Step-by-step explanation:

y - 3 = -2/3(x + 6)       Remove the brackets on the right

y - 3 = -2/3x - 2/3 * 6  Simplify the right

y - 3 = -2/3x -  4          Add 4 to both sides

y = - 2/3 x - 1

I'm going to enclose the graph. Pick the one that has a y intercept at (0,-1) and and an x intercept of (-1.5, 0)goes from the lower right to the upper left as the graph below shows.

A sum of money is shared between 2 friends in the ratio 2 : 3. If the larger

share is $450. What is the total sum shared?

Answers

Answer:

$750

Step-by-step explanation:

Larger share = $450

Smaller share : Larger share :: 2 : 3

Smaller share = (larger share x 2) / 3

= (450x2)/3

= 300

Sum= larger share + smaller share

= $450 + $300 = $750

Based on the picture below (note that it is not drawn to scale), Maggie says that . Is she correct? Explain why or why not.

Answers

Answer:

Step-by-step explanation:

By using the property of similar triangles,

"Corresponding sides of two similar triangles are proportional"

If ΔSMA ~ ΔPOD

[tex]\frac{SM}{PO}=\frac{MA}{OD}=\frac{SA}{PD}[/tex]

[tex]\frac{6}{10}=\frac{5}{10}=\frac{5}{12}[/tex]

[tex]\frac{3}{5}=\frac{1}{2}=\frac{5}{12}[/tex]

Since, ratios of corresponding sides are not equal,

Therefore, the given triangles are not similar.

Which system of equations has infinitely many solutions?

Answers

The last one. Both lines are the same

MATH HELP PLEASE !!! Due soon !!!

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

It is easier to construct the center using a compass and straightedge (and pencil). The center is where the medians meet. A median is drawn from a vertex to the midpoint of the opposite side.

A ruler can be used. It is easier if it combines full- and half-scale markings on the same edge. This will let you find the midpoint of a side quickly.

With a compass and straightedge, the usual process of constructing the bisector of a line segment is used.

PLEASE HELP!! Which variable is most important to the following problem?

Jackie played the first 8 minutes of a basketball game. Layla then replaced
her for the rest of the half. Layla started the second half and was replaced by
Jackie with 9 minutes left in the game. If each half is 16 minutes long, how
long did Jackie play?

A. The number of players who played during the game

B. The number of minutes Layla played in the second half

C. The total number of minutes Jackie played

D. The length of the half

Answers

Answer:

Step-by-step explanation:

d

D because I need free pass

A) m + n
B) 0
C) m - 1
D) -(m+n)

Answers

Answer:

D

Step-by-step explanation:

Lsh=rhs

U solve using algebra

Wich Type of rectangle has not equal side lengths A. Isosceles B. Equilateral C. Scalene D. None of the above

Answers

Answer:

C. Scalene triangle

Step-by-step explanation:

Wich Type of triangle has not equal side lengths A. Isosceles B. Equilateral C. Scalene D. None of the above

scalene triangle can be regarded as triangle whereby all three sides of the triangle have different lengths. the angles in scalene triangle is also

different if measured. Some right triangles can as well be regarded as scalene triangle if other two angles( the legs) are not congruent. It should be noted that Type of triangle which has not equal side lengths is Scalene

ASAP BRAINLIEST IF RIGHT 30 POINTS NO NEED FOR WORK
At a restaurant, diners earn 1 point for every $2 they spend, plus 25 bonus points on their first meal. Function f represents the number of points earned as a function of the total amount spent x. Which function represents the total amount spent as a function of the number of points earned?

A. f−1(x) = 2x − 50
B. f−1(x) = 2x + 50
C. f−1(x) = 0.5x − 50
D. f−1(x) = 0.5x + 50

Answers

i think it’s d ………….

At the grocery store last week, small boxes of facial tissue were on sale at 4 boxes for $5. This week they mark a new price at 5 boxes for $4. What is the percent decrease in the price per box this week?

Answers

Answer: 36%

Step-by-step explanation:

Since the price last week, was 4 boxes for $5. Therefore, the price per box will be:

= $5/4

= $1.25 per box

This week they mark a new price at 5 boxes for $4. The price per box will be:

= $4/5

= $0.8 per box

The percent decrease in the price per box this week will be:

= (1.25 - 0.80)/1.25 × 100

= 0.45/1.25 × 100

= 36%

The Percentage decrease is 36%

Which of the following segments is a diameter of O? ​

Answers

Answer:

AB

Step-by-step explanation:

The diameter has to pass  through the center of the circle and tough the outside of the circle on both ends

The diameters are

DE and AB

They can also be written as

ED and BA

Answer:

option A :  AB

Step-by-step explanation:

The diameter is the length of the line through the center that touches two points on the edge of the circle.

Both AB and DE are diameters.

Therefore, Option A : AB

Which expression is equivalent to m² - 13m - 30?​

Answers

Answer:

[tex](m−15)(m+2)[/tex]

Step-by-step explanation:

[tex] m² - 13m - 30?[/tex]

Formula :

[tex] {x}^{2} +bx+c[/tex]

[tex](m−15)(m+2)[/tex]

Hope it is helpful...

What is the value for x?
69
(5x + 2)
Enter your answer in the box
(9y-3)

Answers

Answer:

[tex]5x + 2 \\ x = 5 - 2 \\ x = 3 \\ \\ 9y - 3 \\ y = 9 + 3 \\ y = 12[/tex]

If 50 kg of rice cost Rs 375,how much can be purchased for Rs.525?​

Answers

Answer:

70kg can be purchased for Rs 525

Step-by-step explanation:

Let the quantity of rice that can be bought with Rs 525 be = x

           Rice ( kg)                Cost (Rs)

              50                          375

                x                           525

  [tex]\frac{50}{x} = \frac{375}{525} \\\\x \times 375 = 50 \times 525\\\\375x = 26250\\\\x = \frac{26250}{375} = 70 \ kg[/tex]

Therefore 70kg rice can be purchased for Rs. 525

Write an equation in
slope-intercept form that
passes through (-6, -2)
and has a y-intercept
located at y= -5

Answers

Answer:

y = -1/2 x -5

Step-by-step explanation:

The slope intercept form of an equation is

y = mx+b where m is the slope and b is the y intercept

We know b

y = mx-5

Substitute the values of x and y into the equation to determine the slope

-2 = m(-6) -5

Add 5 to each side

-2+5 =-6m

3 = -6m

Divide by -6

3/-6 = m

The slope is -1/2

y = -1/2 x -5

Si: Tg θ =√2 ∧ θ es agudo √7 Calcular: A = 3(Sen θ + Cos θ) - √7

Answers

Answer:

[tex]A \approx 1.488[/tex]

Step-by-step explanation:

Por definición de razones trigonométricas, tenemos las siguientes identidades:

[tex]\tan \theta = \frac{y}{x} = \sqrt{2}[/tex] (1)

[tex]\sin \theta = \frac{y}{\sqrt{x^{2}+y^{2}}}[/tex] (2)

[tex]\cos \theta = \frac{x}{\sqrt{x^{2}+y^{2}}}[/tex] (3)

Si [tex]\theta[/tex] es agudo, entonces [tex]x, y > 0[/tex].

De (1), suponemos [tex]x = 1[/tex] que [tex]y = \sqrt{2}[/tex], entonces los valores de las funciones seno y coseno:

[tex]\sin \theta = \frac{\sqrt{2}}{\sqrt{5}} = \sqrt{\frac{2}{5} }[/tex]

[tex]\sin \theta = \frac{\sqrt{10}}{5 }[/tex]

[tex]\cos \theta = \sqrt{\frac{1}{5} }[/tex]

[tex]\cos \theta = \frac{\sqrt{5}}{5}[/tex]

Por último, calculemos [tex]A[/tex]:

[tex]A = 3\cdot \left(\frac{\sqrt{10}}{5} + \frac{\sqrt{5}}{5} \right) - \sqrt{7}[/tex]

[tex]A \approx 1.488[/tex]

Work out m and c for the line: y = 4 x − 1

Answers

Answer:

m=4 and c=-1

Step-by-step explanation:

I'm assuming that m is the slope and c is the y-intercept. (If this is not the case, please tell me and I'll fix my answer).

The equation is already in the form y=mx+c so you just take the numbers from the problem y=4x-1.

Answer:

m = 4    c=-1

Step-by-step explanation:

The slope form is y = mx + b.

M is the slope which is 4.

B is the y=intercept which is -1.

6. If the set A = {-2, 1, 3), then the set A is a subset of the set of?​

Answers

Answer:

Step-by-step explanation:

We could invent set B:  {-2, 1, 3, 5, 6, 10} and then correctly state tht set A is a subset of B, because {-2, 1, 3} is also found in A.

Which expression is a factor of 21x2 + 13x – 20?​

Answers

Answer:

B. 7x - 5

Step-by-step explanation:

U need to add more information to this individual question please answer this, thank you

Using the Pythagorean Theorem, find the distance between the points.

Answers

Answer:

(5,7,8.6)

Step-by-step explanation:

Create a line on each the x axis and the y axis which intersects at a right triangle. The x axis line is 7 squares and the y axis is 5 squares. Now you can use the Pythagorean theorem.

a^2+b^2=c^2

7^2+5^2=c^2

49+25=c^2

74=c^2

8.6=c

help me please help me plz help me plz ​

Answers

1.c
2. 3, 1 and then 2
3.a
4. b

What is the answer to this division question?

Answers

Answer:

7

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

4 1/5 ÷ 3/5

Change to improper fractions

4 1/5 = ( 5*4+1) /5 = 21/5

21/5 ÷ 3/5

Copy dot flip

21/ 5 * 5/3

Rewriting

21/ * 5/5

7 * 1

7

Need more help again

Answers

Answer:

QSR = 68º

Step-by-step explanation:

TSQ + QSR = TSR

15x + (10x - 2) = 173

Combine like terms

25x = 175

Divide both sides by 25

x = 7

QSR = 10x - 2

QSR = 10(7) - 2

QSR = 68º

Rearrange the formula to make x the subject.

y = x -5

Answers

Answer:

[tex]x=y+5[/tex]

Step-by-step explanation:

[tex]y=x-5[/tex]

[tex]y+5=x[/tex]

[tex]x=y+5[/tex]

can someone pls pls help me?

Answers

Answer:

its 30 or 24

Step-by-step explanation:

but its most likely 30

Math help please I will give brainlist if correct

Answers

Answer:

A=48

B=25

C=44

D=67

im stumped by e srry

CAN SOMEONE HELP ME OUT, PLEASE AND THANK YOU.

Answers

Answer:

what do you need help with?

Step-by-step explanation:

Joseph has 16 metres of rope. He wants to cut pieces of rope that are 0.2 metres long.

How many pieces can he cut?


Ignore the answer I put

Answers

Answer:

80

Step-by-step explanation:

Given that :

Length of rope = 16 m

Length per Piece of rope to cut = 0.2 m

The number of pieces of rope that can be cut :

Length of rope / length per piece of rope

16 / 0.2

= 80

Hence, 80 pieces of 0.2 m rope will be cut

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