Find the value of x.

Find The Value Of X.

Answers

Answer 1

Answer:

x ≈ 28°

Step-by-step explanation:

We know the hypotenuse (the longest side) and the opposite (the side opposite x) so we can use SOH:

sine x = opposite ÷ hypotenuse

Substitute in the values:

sin x = 7 ÷ 15

sin x = 0.4666...

Now we can do the inverse of sine to find x:

x = [tex]sin^{-1}[/tex](0.466..)

x = 27.818138... ≈ 28°

Hope this helps!


Related Questions

a pizza usually cost $15 there is a sale for 15% off what is the cost of the pizza

Answers

Answer:

Well the discount with 15% off is $2.25. Now subtract 15.00-2.25 to get 12.75. You are paying $12.75 for the discounted pizza.

Step-by-step explanation:

Answer: Initially it looks like Mindy is making a profit of $0.75 plus the pizza worth $12. So it is a fair deal for Mindy. Now coming to the part of the pizza shop owner, we find that he also gains extra $2.25 from this deal. So it is a fair deal for both the shop keeper and Mindy.

sean had 40 red marbles and 36 green marbles.he won some more red marbles and the number of green marbles is now 2/5 of sean total marbles. how many red marbles did he win

Answers

Answer:

14

Step-by-step explanation:

*Notice that number of green marbles did not change throughout

Therefore,

36 green marbles -> 2/5 of Sean total marbles

Sean's total marbles = 36/2 *5 = 90

Number of red marbles won = 90-36-40 = 14

What are the measures of angles 1,2, and 3?

Answers

Step-by-step explanation:

this is unclear.

did this mean the left and the right sides are the same length (and parallel)?

it seems then they are 2 congruent triangles and the whole shape a parallelogram.

remember, the sum of all 3 angles in any triangle is always 180°.

so,

angle 1 = 180 - 70 - 60 = 50°

the congruence principle then makes angle 3 = angle 1 = 50°.

and then angle 2 must be 70°, as 70° + angle 3 = angle 1 + angle 2.

if I misunderstood, then angle 3 and then angle 2 can't be determined.

A scale model of a ramp is a right triangular prism as given in this figure. In the actual ramp, the triangular base has a height of 1.2 feet.

What is the surface area of the actual ramp, including the underside?

Enter your answer as a decimal in the box.

Answers

Answer:

16.8

Step-by-step explanation:

The scale factor is a ratio. The surface area of the real ramp is 16.80 ft².

What is the scale factor?

The ratio between comparable measurements of an item and a representation of that thing is known as a scale factor in arithmetic.

As we know that the height of the real ramp is 1.2 feet, while the height of the drawing is 6 cm, therefore, the scale factor can be written as,

[tex]\rm Scale\ factor = \dfrac{\text{Area of Image}}{\text{Area of pre-image}}=\dfrac{1.2 \ feet}{6\ cm} = 0.2[/tex]

Now, the area of the pre-image can be written as,

[tex]\rm \text{Area of pre-image} = 2triangles+ 2 rectangle + 1 rectangle\ at\ base[/tex]

                             [tex]= 2(0.5 \times 6 \times 16) + 2(10 \times 9) + (16 \times 9)\\\\= 2(48)+2(90)+144\\\\= 96 + 180 + 144\\\\ = 420\ cm^2[/tex]

Further, the area of the actual ramp can be written as,

[tex]{\text{Area of pre-image}} \times \rm Scale\ factor = \text{Area of Image}\\\\ \text{Area of Image}= 420 \times (0.2)^2 \\\\ \text{Area of Image}= 16.8\ ft^2[/tex]

Hence, the surface area of the real ramp is 16.80 ft².

Learn more about Scale Factor:

https://brainly.com/question/22644306

For the given data set; 2, 5, 7, 9, 11, 15 , 17 find the range.

Answers

15. Subtract the smallest number from the largest

pl.z hel..p m.e Si r
mat.h geom.etry ques.tion....​

Answers

[tex]\\ \rm\Rrightarrow 7x+10+3x+10=180[/tex]

[tex]\\ \rm\Rrightarrow 10x+20=180[/tex]

[tex]\\ \rm\Rrightarrow 10x=160[/tex]

[tex]\\ \rm\Rrightarrow x=16[/tex]

Now

z=7x+10=7(16)+10=112+10=122°y=3x+10=3(16)+10=48+10=58°

Answer:

y = 58°

z = 122°

Step-by-step explanation:

Linear pair: a pair of adjacent angles formed when two lines intersect. The two angles are always supplementary and so their measures sum to 180°.

Therefore,

(7x + 10) + y = 180

(3x + 10) + z = 180

Alternate interior angle theorem: when 2 parallel lines (AB and CD) are cut by a transversal (EF), the resulting alternate interior angles are equal.

Therefore,

y = (3x + 10)

z = (7x + 10)

Substituting y = (3x + 10) into (7x + 10) + y = 180 and solving for x:

⇒ (7x + 10) + (3x + 10) = 180

⇒ 10x + 20 = 180

⇒ 10x = 160

⇒ x = 16

Calculate angle y and angle z by substituting the found value for x into their equations:

y = 3(16) + 10 = 58°

z = 7(16) + 10 = 122°

what is 246+5446×435-7655÷890=?

give step by step explanation

(im giveing brainliest to the first person who answers)​

Answers

Answer:

-4,747

Step-by-step explanation:

PEMDAS (1. parentheses, 2. exponents, 3. multiplication, 4. division, 5. addition, and 6. subtraction)

Parentheses: NONE

Exponents: NONE

Multiplication: 5446 x 435 = 2,369,010

Division: 2,369,010 / 890 = 2661.80899 (rounding too 2662)

Addition: 2662 + 246 = 2908

Subtraction: 2908 - 7655 = -4,747


HELPPP!!! BRAINLEST??

Answers

Answer:

1/3

Step-by-step explanation:

1 cup and 6 hours (5) over total (15)

5/15 simplifies to 1/3

1/3 would be your answer to this question

I need help on number 7 I don’t understand it

Answers

Answer:

a) Right triangle b) Obtuse triangle c) equilateral triangle.  

Step-by-step explanation:

A right triangle has a 90 degree angle. Obtuse triangles need to have one angle greater than 90 degrees, and equilateral triangles have same sides.

help please! i need to finish this assignment

Answers

Answer:

b

Step-by-step explanation:

18/38 = 47.36%=47% rounding down

mia picked 1 cup of strawberries for a cake which is enough for 3/4 of the cake how many cups does she needs for the whole cake

Answers

Answer:

to make the full cake the strawberries required will be (4/3) cups.

Step-by-step explanation:

X=1 and x=3 write the quadratic equation

Answers

x2^-3x+1

Step-by-step explanation:

All you have to do is the 3 Forms of Quadratic Equations

Standard Form: y = a x 2 + b x + c y=ax^2+bx+c y=ax2+bx+c.

Factored Form: y = a ( x − r 1 ) ( x − r 2 ) y=a(x-r_1)(x-r_2) y=a(x−r1)(x−r2)

Vertex Form: y = a ( x − h ) 2 + k y=a(x-h)^2+k y=a(x−h)2+k.

Insurers use a process of selecting and classifying insurance applicants to prevent individuals who have a higher-than-average probability of loss from obtaining insurance at average rates. This process is called

Answers

Answer:

This process is called

Producing. underwriting.

Step-by-step explanation:

Tell me the answer please. Answer the question in the picture. Brainiest will be given.

Answers

Answer:

I got you again bro

Step-by-step explanation:

10x-20=7x+4

10x=7x+24

3x=24

x=8

Top angle=10(8)-20=60

Bottom angle=7(8)+4=60

Note:They should equal each other

A very important part in writing proofs is analyzing the diagram for key information. What true statements can you make based on the digram at the right?
* what theorems or definitions relate to the geometric figures in the diagram?
* what types of markings show relationships between parts of geometric figures?

Answers

Step-by-step explanation:

given distance belongs to family figures

i’m not to sure what to do here.. can someone help? this assignment is 20 points!

Answers

Y-intercept of line a is -1
Y-intercept of line b is 3
Interception is (2,5)

The y intercept is where the line hits the y axis

How many terms are in this expression 4u + 6t

Answers

Answer:

There are two terms in the expression...

Hope this helps!!!!

Re-write the quadratic function below in Standard Form
y = 2(x – 5)2 – 3

Answers

Answer:

y=2x-13

Step-by-step explanation:

PEMDAS

Distribute parenthesis --> y=2x-10-3

Add like numbers --> y=2x-13

WILL GIVE BRAINLIEST, THANKS, AND 5 STARS!!! LOTS OF POINTS! PLEASE SOMEONE HELP ME WITH THESE QUESTIONS!!!!

12. A rectangular kitchen table has an area of 7x^2 + 75x + 50. Which of the following could represent one of the side lengths of the table?
7x + 10
7x + 5
x + 5

13. What number has to fill in the blank to make this a perfect square trinomial: 9x^2 + ___ x + 144.

36
86
18
72

14. Draw an area model to represent 4x^2+12x+9 = (2x+3)^2. Label the length and width of the whole square and label each individual small square and rectangle. (Please submit a picture of the drawn diagram, labeled and all!!!)

PLEASE! And please put good explanations so I understand better!!

Answers

Answer:

[12] 7x+5

[13] 72

Step-by-step explanation:

[12] [tex]7x^2+75+50[/tex]

The first term is,  7x^2  its coefficient is  7 .The middle term is,  +75x  its coefficient is  75 .The last term, "the constant", is  +50

First, Multiply the coefficient of the first term by the constant   7 × 50 = 350

Then, find two factors of  350  whose sum equals the coefficient of the middle term, which is  75 .

Then,  Rewrite the polynomial splitting the middle term using the two factors  5  and  70

                    7x^2 + 5x + 70x + 50

Add up the first 2 terms, pulling out like factors :

                   x × (7x+5)

             Add up the last 2 terms, pulling out common factors :

                   10 × (7x+5)

               (x+10)  • (7x+5)

Hence, Answer = 7x + 5

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

[13]  

A perfect square trinomial is a quadratic equation of the form

[tex]ax^2+bx+c=0[/tex]  

and a result of squaring a binomial. This means that the first and third term of the trinomial is equal to the square of the first and second term of a binomial. Therefore, in order to determine the value of the third term, we can use the method of completing the square in which the formula is

[tex]c=(\frac{b}{2a})^2[/tex]

where c is the constant and b and a are the coefficients of the first and the second term.

The trinomial 9x^2+72x+144 is a perfect square trinomial, because it's discriminant is equal to zero

Δ=b 2 −4ac=72 2 −4(9)(144)=0  

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

~Learn with Lenvy~

I do not know this answer

Answers

Answer:

(1, -4)

Step-by-step explanation:

To turn a figure or point 90° counterclockwise around the origin, you do: (x, y) -> (-y, x).

We are given point T as (-4, -1).

(-1, -4)(1, -4)

Therefore, the answer is (1, -4).

What Is the coordinates for this translation 6 units left and 3 units down......

Answers

Answer:

Step-by-step explanation:

E
Rrrrrrrerererererererere

Answers

Answer:ssssssssssuuuuuuupp

Step-by-step explanation:

Hi there!! Tyyyyysmmm

Let f(x) = -2x + 4 and g(x) = -6x - 7. Find f(x) - g(x).
can anybody help me with this? show your work if you can too, please!

Answers

Answer:

  f(x) -g(x) = 4x +11

Step-by-step explanation:

Substitute the given expressions and simplify.

  f(x) -g(x) = (-2x+4) -(-6x-7)

Eliminating parentheses, we get ...

  f(x) -g(x) = -2x +4 +6x +7 = (-2+6)x +(4 +7) . . . . combining like terms

  f(x) -g(x) = 4x +11

Using the Completing the Square method, what are the zeros of the quadratic function f(x) = 2x2 + 8x – 3?

x = –2 – StartRoot StartFraction 11 Over 2 EndFraction EndRoot and x = –2 + StartRoot StartFraction 11 Over 2 EndFraction EndRoot
x = –2 – StartRoot StartFraction 7 Over 2 EndFraction EndRoot and x = –2 + StartRoot StartFraction 7 Over 2 EndFraction EndRoot
x = 2 – StartRoot StartFraction 11 Over 2 EndFraction EndRoot and x = 2 + StartRoot StartFraction 11 Over 2 EndFraction EndRoot
x = 2 – StartRoot StartFraction 7 Over 2 EndFraction EndRoot and x = 2 + StartRoot StartFraction 7 Over 2 EndFraction EndRoot

Answers

The zeros of the quadratic function f(x) = 2x² + 8x – 3 is x = -2 - √11/4 and x = -2 + √11/4

What is a quadratic function?

A quadratic function is in the form:

y = ax² + bx + c

Given that:

f(x) = 2x² + 8x - 3, hence:

The zero is at:

2x² + 8x - 3 = 0

2x² + 8x = 3

Dividing through by 2:

x² + 4x = 3/2

add to both sides 4:

(x + 2)² = 3/2 + 4

(x + 2)² = 11/4

x + 2 = ±√11/4

x = -2 ±√11/4

The zeros of the quadratic function f(x) = 2x² + 8x – 3 is x = -2 - √11/4 and x = -2 + √11/4

Find out more on quadratic function at: https://brainly.com/question/1214333

Answer:

x = [tex]x=-2-\frac{11}{2}[/tex]   and   [tex]x=-2+\frac{11}{2}[/tex]

Step-by-step explanation:

I got it right on edge

you have been transported to a jungle-scape in the body of a mathematician. you build a catapult to launch messages to your team, who are on the other side of a deep and wide revine. the graph below shows the trajectory of your message. you launch the message 7 feet east of a tree that is 5 feet west of the edge of the revine. the ravine is 12 feet wide.

Answers

The trajectory of your message illustrates a quadratic function

The equation of the trajectory of the message is [tex]y = -\frac 15(x - 17)^2 + 20[/tex]

How to determine the equation of the graph?

The trajectory graph (see attachment) is a quadratic function that passes through the following points:

(x,y) = (7,0) and (27,0)

And the vertex is:

(h,b) = (17,20)

A quadratic function is represented as:

[tex]y = a(x - h)^2 + b[/tex]

So, we have:

[tex]y = a(x - 17)^2 + 20[/tex]

Substitute (7,0) for (x,y)

[tex]0 = a(7 - 17)^2 + 20[/tex]

Evaluate

[tex]0 = 100a + 20[/tex]

Collect like terms

[tex]100a = -20[/tex]

Divide both sides by 100

[tex]a = -\frac 15[/tex]

Recall that:

[tex]y = a(x - 17)^2 + 20[/tex]

So, we have:

[tex]y = -\frac 15(x - 17)^2 + 20[/tex]

Hence, the equation of the trajectory of the message is [tex]y = -\frac 15(x - 17)^2 + 20[/tex]

Read more about quadratic functions at:

https://brainly.com/question/4115477

please help, don’t know how to do this

Answers

Answer:

-3=-2 -2=-1 -1=0 0=1 1=2 2=3 3=4

Step-by-step explanation:

You add one to each of the listed numbers due to the question being x+1 so you take all of your x´s and add one raising their amount up by 1

What is the slope of the line that passes through the points (−1,−10) and (-1, -2)
? Write your answer in simplest form.

Answers

Answer: There is no slope

Step-by-step explanation:

These points form a straight line. You can tell because both of their x coordinates are -1 which means they are a straight line when formed. If both coordinates have the same x (sign and number) they form a straight line.

Which of the following terms describe the 2 in the expression 2x+5.
Term
Variable
coefficient
constant term

Answers

Answer:

No . C = COEFFICIENT IS THE ANSWER OF THE QUESTION

can 7, 9, 11 form a right triangle

Answers

Answer:

No it will not form a right triangle it will form a SSS triangle

Step-by-step explanation:

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side but if you used 7 9 and 11 it would give you a SSS triangle.

What is 593.76101 rounded to the nearest hundred PLEASE HELP ME

Answers

Answer:

593.76

Step-by-step explanation:

Round, 1 is smaller that 5, stays the same.

Answer:

600

Step-by-step explanation:

5 is the digit in the hundred place

Look at the number on the right. Since 9 is bigger than 5, you are going to round up. So you have 600

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