What is the value of x?
(Round your answer to
the nearest tenth.)

Using relations in a right triangle, it is found that the values of x and y are given by: x = 24, y = 46.4, given by option a.

The relations in a right triangle are given as follows:

First, we start with the vertical line h that divides y, that is opposite to an angle of 30º, with hypotenuse 34, hence:

sin(30º) = h/34

0.5 = h/34

h = 17.

Then, h is opposite to an angle of 45º, while the hypotenuse is x, hence:

[tex]\sin{45^\circ} = \frac{17}{x}[/tex]

[tex]x = \frac{17}{\sin{45^\circ}}[/tex]

x = 24.

y is divided into two segments.

Then:

[tex]\cos{30^\circ} = \frac{y_1}{34}[/tex]

[tex]y_1 = 34\cos{30^\circ} = 29.4[/tex]

[tex]\cos{45^\circ} = \frac{y_2}{24}[/tex]

[tex]y_2 = 24\cos{45^\circ} = 17[/tex]

Then, the value of y is given by:

[tex]y = y_1 + y_2 = 29.4 + 17 = 46.4[/tex].

More can be learned about relations in a right triangle at https://brainly.com/question/26396675

#SPJ1

The correct value of this algebraic expression is -1/16

Given the expression, [tex]\large \sf \dfrac{-b}{2a}[/tex], let's just: change the letters to the numbers and then perform the given operations.

*Equal signs will be positive ⇒ (-) (-)= + & (+) (+) = +

*Different signs will be negative ⇒ (-) (+) = - & (+) (-) = -

[tex]\\\large \sf \dfrac{-b}{2a} , \ a=-8 \ , \ b=-1[/tex]

[tex]\large \sf \dfrac{-(-1)}{2 \cdot (-8)}[/tex]

[tex]\large \sf \dfrac{1}{2 \cdot (-8)}[/tex]

[tex]\large \sf \dfrac{1}{-16}[/tex]

[tex]\blue{\boxed{\large \sf -\dfrac{1}{16} }}\\[/tex]

Therefore, the final answer to this simplification will be -1/16

Step-by-step explanation:

cos x = 2/6.5 = 0.3

arccos 0.3 = 72.54 degree

Answer:

96 inches

Step-by-step explanation:

1:24

4:x

cross multiply:

x=4*24

x=96

Answer:

Step-by-step explanation:

Which of the following is the formula for the volume of a cube?

a. s³

b. s²

c. π r²

d. π r³​

V = s³

Answer:

its SUMMER wth

Step-by-step explanation:

Its time too TURN UPPP!

Answer:

450/31=14.51km/litre

Answer with step by step explanation

To find the equation of the line from the given equation, you have to make y as the subject in the equation.

Let us find now.

x + 3y = -4

3y = -4 - x

3y = -x - 4

Divide the whole equation by 3.

y = -x/3 - 4/3

Therefore, the equation of the line is:

y = -x/3 - 4/3

And now we have to find the slope and the y - intercept of the line.

That is, we have to find the m & c of y = m x + c.

Here,

m ⇒ slope

c ⇒ y - intercept

So, to find it we have to find the values which were replaced with m & c.

Let us find now.

y = m x + c

y = -x/3 - 4/3

Now it is clear that, -1/3 & -4/3 are replaced with m & c respectively.

Therefore,

slope ⇒ -1/3

y - intercept ⇒ -4/3

Answer:

its y=2x so yaa thats ittt

Answer:

243 students' favorite color is red

Step-by-step explanation:

if 55% of the students said their favorite color was blue, then 45% chose that red was their favorite color

we can get 45% of 540 using a cross-multiplication equation

45% is 45/100

45/100 is to ?/540

the (?) represents the value of students who chose red as their favorite color (we do not know this but we can figure it out using cross-multiplication)

45 times 540 is 24300

24300/100 = 243.

Give brainliest, please!

hope this helps :)

Using the circle theorems, the value of z is 45

From the question, we are to determine the value of z

From the given information,

KM is a diameter

∴ ∠KLM = 90° (Angle in a semicircle)

Also, ΔKLM is isosceles

∴ ∠KML = ∠MKL (Base angles of an isosceles triangle)

Then,

∠KML + ∠MKL + ∠KLM = 180° (Sum of angles in a triangle)

2× ∠KML + 90° = 180°

2× ∠KML = 180° - 90°

2× ∠KML = 90°

∠KML = 90°/2

∠KML = 45°

Now, we can observe that

z° = ∠KML (Angles in alternate segment)

But,

∠KML = 45°

∴ z = 45

Hence, the value of z is 45

Learn more on Circle Geometry here: https://brainly.com/question/17074363

#SPJ1

Addition Property of Equality is basically a complex way of saying add the same number to both sides.  In this problem we are trying to isolate x for it to be by itself so we must deal with -6.  Since we have -6 on one side we must use the "Addition Property of Equality" to add 6 to both sides which would cancel out the -6 and add 6 to 14.

Therefore, the option that best fits the description on what number we would have to use to get added in the equation would be option D, 6.

Answer:

It b(4) because if you time 3 times 4 it equals 15.

Step-by-step explanation:

Answer:

72cm²

Step-by-step explanation:

Hello!

The formula for area of a trapezoid: [tex]A = \frac12(b_1 + b_2)h[/tex]

We find the average of the bases, and multiply it by the height.

The area of the trapezoid is 72cm²

CDE = CDB + BDA + ADE

CDE = 42° + 37° + 20°

CDE = 99°

hope it helps...!!!

Answer:99 degrees

Step-by-step explanation:

Angle CDB + Angle BDA + Angle ADE= Angle CDE

42+37+20=99

Answer:

-1

Step-by-step explanation:

Find the difference of each sequence

19 - 15 = 4

15 - 11 = 4

11 - 7 = 4

7- 3 = 4

3 - ? = 4

Subtract 4 from the 3

3 - 4 = -1

Therefore, the next term is -1

Answer:

should be 63

Step-by-step explanation:

Answer: A

Step-By-Step Explanation: if n is greater than or equal to 2 is an add integer then the domain of: f(x)-x^2+8 is the solution to the inequality 2+8 greater than or equal to 0. which of the following statements is true?

The finance charge will be $ 0.76. Then the new balance will be $ 55.54.

Finance costs are paid to the provider in exchange for supplying cash or granting the loan.

The account balance on April 1st is $50.51.

On April 15th payment of $15.00 is made.

On April 25th a purchase of $19.27 is made.

The annual rate is 18%.

Then the finance charge will be

⇒ $ 50.51 x 0.18 / 12

⇒ $ 0.76

Then the new balance will be

New balance = $ 50.51 - $ 15 + $ 19.27 + $ 0.76

New balance = $ 55.54

More about the finance charge link is given below.

https://brainly.com/question/2588555

#SPJ1

Answer:

1029 minutes or 17.15 hours

Step-by-step explanation:

25+0.06M=86.74

0.06M=61.74

M=61.74/0.06=1029

Using a system of equations, it is found that the earnings of Mohammed are given by: 18,212 aed.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are given as follows:

The earnings of ahmed and bekhit are in the ratio 3:7, hence:

[tex]\frac{x}{y} = \frac{3}{7}[/tex]

[tex]3y = 7x[/tex]

[tex]y = \frac{7x}{3}[/tex]

That of bekhit and saeed is 4:9, hence:

[tex]\frac{y}{z} = \frac{4}{9}[/tex]

[tex]4z = 9y[/tex]

[tex]z = \frac{9y}{4}[/tex]

[tex]z = \frac{63x}{12}[/tex]

The ratio of mohammed and saeed is 7:6, hence:

[tex]\frac{z}{w} = \frac{7}{6}[/tex]

[tex]7w = 6z[/tex]

[tex]w = \frac{6z}{7}[/tex]

[tex]w = \frac{378x}{84}[/tex]

The sum is of 52950, hence:

[tex]x + y + z + w = 52950[/tex]

[tex]x + \frac{7x}{3} + \frac{63x}{12} + \frac{378x}{84} = 52950[/tex]

[tex]1099x = 52950 \times 84[/tex]

[tex]x = \frac{52950 \times 84}{1099}[/tex]

[tex]x = 4047[/tex]

Hence, Mohammed earnings in aed are given as follows:

[tex]w = \frac{378 \times 4047}{84} = 18212[/tex]

More can be learned about a system of equations at https://brainly.com/question/24342899

#SPJ1

(-8 * 9 * -5 )- -14

360 - - 14 = 360 + 14 = 374

Answer:

_4

Step-by-step explanation:

x+19/5=3 cross multiply

x+19=3*5

x+19=15

x=15-19

x=-4

The remainder when (x + 19) is divided by 5 is 2.

If the positive integer x has a remainder of 3 when divided by 5, it can be represented as:

x = 5a + 3, where "a" is a non-negative integer.

Now, let's consider the expression (x + 19) and determine the remainder when it is divided by 5:

x + 19 = (5a + 3) + 19

       = 5a + 22

When we divide 5a + 22 by 5, we find:

(5a + 22) = 5(a + 4) + 2

Therefore, the remainder when (x + 19) is divided by 5 is 2.

Learn more about remainders here:

https://brainly.com/question/29019179?

#SPJ2

The end behavior is that as x approaches positive infinity, f(x) approaches positive infinity and as x approaches negative infinity, f(x) approaches negative infinity

The function is given as:

f(x) = 8x+8

The above function is a linear function.

A linear function is represented as:

f(x) = mx + b

This means that the slope of f(x) is 8 (a positive number)

For a linear function with a positive slope, the end behavior is that:

As x approaches positive infinity, f(x) approaches positive infinity and as x approaches negative infinity, f(x) approaches negative infinity

Read more about end behavior at:

https://brainly.com/question/1365136

#SPJ1

Answer:

1)acute triangle

2) right angle

3) obtuse triangle

Step-by-step explanation:

please mark me as brainlest

Answer:

1. Acute 2. Obtuse 3.  Right

Step-by-step explanation:

Obtuse Triangle Definition

An obtuse triangle is one that has an angle greater than 90°. Because all the angles in a triangle add up to 180°, the other two angles have to be acute (less than 90°). It's impossible for a triangle to have more than one obtuse angle.

Acute Triangle Definition

An acute triangle is defined as a triangle in which all of the angles are less than 90°. In other words, all of the angles in an acute triangle are acute.

A Right Triangle has a right angle

Hope this helps.

Answer:

5

Step-by-step explanation:

10c+15=5(2c+3)

use distributive property

10c+15=10c+15

Hope this helps!

If not, I am sorry.

Answer:

You would have to insert 5 for there to be infinite solutions.

This is not an identity.

[tex]\dfrac{2(\cos(x)\sin(x) - \sin(x)\cos(2x))}{\sin(2x)} \neq \sec(x)[/tex]

Check x = π/4, for which we have cos(π/4) = sin(π/4) = 1/√2. Together with sin(2•π/4) = sin(π/2) = 1 and cos(2•π/4) = cos(π/2) = 0, the left side becomes 1, while sec(π/4) = 1/cos(π/4) = √2.

Keeping the left side unchanged, the correct identity would be

[tex]\dfrac{2(\cos(x)\sin(x) - \sin(x)\cos(2x))}{\sin(2x)} = -2\cos(x) + 1 + \sec(x)[/tex]

To show this, recall

• sin(2x) = 2 sin(x) cos(x)

• cos(2x) = cos²(x) - sin²(x)

• cos²(x) + sin²(x) = 1

Then we have

[tex]\dfrac{2(\cos(x)\sin(x) - \sin(x)\cos(2x))}{\sin(2x)} = \dfrac{2\cos(x)\sin(x) - 2\sin(x)\cos(2x)}{\sin(2x)} \\\\ = \dfrac{\sin(2x) - 2\sin(x)\cos(2x)}{\sin(2x)} \\\\ = 1 - \dfrac{2\sin(x)\cos(2x)}{\sin(2x)} \\\\ = 1 - \dfrac{2\sin(x)(\cos^2(x) - \sin^2(x))}{2 \sin(x)\cos(x)} \\\\ = 1 - \dfrac{\cos^2(x) - \sin^2(x)}{\cos(x)} \\\\ = 1 - \cos(x) + \dfrac{\sin^2(x)}{\cos(x)} \\\\ = 1 - \cos(x) + \dfrac{1 - \cos^2(x)}{\cos(x)} \\\\ = 1 - \cos(x) + \sec(x) - \cos(x) \\\\ = -2\cos(x) + 1 + \sec(x)[/tex]

The lateral area is 117 square centimeters and the surface area is 292.72 square centimeters

The given parameters are:

The lateral area is calculated using:

Lateral = 0.5 * (Perimeter of base) * Slant height

This gives

Lateral = 0.5 * (3 * 6) * 13

Evaluate

Lateral = 117

Hence, the lateral area is 117 square centimeters

The surface area is calculated using:

Surface = l²√3

This gives

Surface = 13² * √3

Evaluate

Surface = 292.72

Hence, the surface area is 292.72 square centimeters

Read more about areas at:

https://brainly.com/question/24487155

#SPJ1

Answer:

L = 117 cm2 ; S = 132.6 cm2

Step-by-step explanation:

Substitute the known value of the base edge length s=6 cm into the formula for the perimeter of the regular triangle, P=3s.

P=3(6)=18

Therefore, the perimeter of the regular triangle is 18 cm.

Substitute the known values of the perimeter P=18 cm and the slant height l=13 cm into the formula for the lateral area of a regular pyramid, L=1/2Pl.

L=1/2(18)(13)=117

Therefore, the lateral area of the pyramid is 117 cm2.

The surface area of a regular pyramid with lateral area L and base area B is S=L+B, or S=1/2Pl+B.

The base of the regular triangular pyramid is the equilateral triangle. The area of the triangle with the base b and the height h is B=1/2bh.

Answer:

11/4

Step-by-step explanation:

The question in math symbols 3/4 - 1/2(4*-1)

By Pemdas (order of operations) we start with the parenthesis
3/4 - 1/2(4*-1) = 3/4 - 1/2(-4)
Because there are parenthesis next to a number, this is a multiplication

3/4 - 1/2(-4) = 3/4 - (-2)
The double negative can be converted into a positive
3/4 - (-2) = 3/4 + 2

Then we can convert the 2 into a fraction of fourths

3/4 + 2 = 3/4 + 8/4

Now we just add the numerators and keep the denominator

3/4 + 8/4 = 11/4