Evaluate:
7 - 3 + 10

Answer:

H

Step-by-step explanation:

Answer:

[tex]m\angle A=63^\circ\\m\angle C=26^\circ[/tex]

Step-by-step explanation:

Trigonometric Ratios

The ratios of the sides of a right triangle are called trigonometric ratios. The longest side of the triangle is called the hypotenuse and the other two sides are called the legs.

Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.

The cosine ratio is defined as:

[tex]\displaystyle \cos\theta=\frac{\text{adjacent leg}}{\text{hypotenuse}}[/tex]

Note the angle A of the figure has 17 as the adjacent leg and 38 as the hypotenuse, so we can directly apply the formula:

[tex]\displaystyle \cos A=\frac{17}{38}[/tex]

[tex]\cos A=0.4474[/tex]

Using a scientific calculator, we get the inverse cosine:

[tex]A=\arccos(0.4474)[/tex]

[tex]A\approx 63^\circ[/tex]

Since A+B+C=180°, we can solve for C:

C = 180° - A - B

C = 180° - 63° - 90°

C = 26°

Thus:

[tex]m\angle A=63^\circ\\m\angle C=26^\circ[/tex]

In the given right triangle ABC, m∠A ≈ 26.44° and m∠C ≈ 63.56°.

To solve the right triangle ABC, we can use trigonometric ratios. In a right triangle, the three main trigonometric ratios are:

1. Sine (sin): [tex]\(\sin(\theta) = \frac{{\text{opposite side}}}{{\text{hypotenuse}}}\)[/tex]

2. Cosine (cos): [tex]\(\cos(\theta) = \frac{{\text{adjacent side}}}{{\text{hypotenuse}}}\)[/tex]

3. Tangent (tan): [tex]\(\tan(\theta) = \frac{{\text{opposite side}}}{{\text{adjacent side}}}\)[/tex]

Given:

AC = 38

AB = 17

To find the angles m∠A and m∠C, we can use the sine and cosine ratios, respectively.

1. For m∠A:

[tex]\(\sin(m\angle A) = \frac{{AB}}{{AC}} = \frac{{17}}{{38}}\)\\\\\(m\angle A= \sin^{-1}\left(\frac{{17}}{{38}}\right)\)[/tex]

2. For m∠C:

[tex]\(\cos(m\angle C) = \frac{{AB}}{{AC}} = \frac{{17}}{{38}}\)\\\\\(m\angle C = \cos^{-1}\left(\frac{{17}}{{38}}\right)\)[/tex]

Let's calculate the angles:

[tex]1. \(m\angle A \approx \sin^{-1}\left(\frac{{17}}{{38}}\right) \approx 26.44^\circ\)\\\\2. \(m\angle C \approx \cos^{-1}\left(\frac{{17}}{{38}}\right) \approx 63.56^\circ\)[/tex]

Therefore, m∠A ≈ 26.44° and m∠C ≈ 63.56° (rounded to the nearest degree).

To know more about right triangle, refer here:

https://brainly.com/question/31613708

#SPJ2

Answer:

10

Step-by-step explanation:

Answer:

The first one is x=45

The second one is w=14

The third one is x=6

Step-by-step explanation:

Answer:

x=0 y=5

trust me I think its right

Answer:

-1.75

Step-by-step explanation:

This should be it, but you didn't provide options although you put "Which of the following.."

Answer:

-1.75 thatis the answer thank you HAHAHAHAHAHA

Answer:

the answer would be 120 square yards

Step-by-step explanation:

you multiply the 15 and 24 then after that you divide the out come by 3 because a square yard is 3 by 3

Answer:

C

Step-by-step explanation:

Step-by-step explanation:

Answer:

[tex]\frac{20}{12}[/tex]

Step-by-step explanation:

Answer:

20/12 since 3*4 is 12 u do 5*4

Step-by-step explanation:

Please mark brainliest and hope this helps ya!!

Answer:

105cm3

Step-by-step explanation:

subtract 5/7- 1/3

8/21=40cm3

21/21=105cm3=total volume

Answer:

5

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

24-6=18--> role playing games

18/24=3/4

Answer: 3/4

Step-by-step explanation:

Answer:

[tex]\huge\boxed{P(2;\ -3);\ Q(4;\ -2)\ \text{and}\ R(-4;\ 8)}[/tex]

Step-by-step explanation:

[tex]A(x;\ y)\xrightarrow{S_{OY}}A'(-x;\ y)\\\\\text{The abscissa changes to the opposite:}\ x\to -x\\\\\text{Therefore}\\\\P(-2;\ -3)\xrightarrow{S_{OY}}P'(2;\ -3)\\\\Q(-4;\ -2)\xrightarrow{S_{OY}}Q'(4;\ -2)\\\\R(4;\ 8)\xrightarrow{S_{OY}}R'(-4;\ 8)[/tex]

Answer:

1. 0 weeks

2.$50 in savings

3.8 weeks

4. $90 in savings

Step-by-step explanation:

Answer:

the slope is negative....

Answer:

Step-by-step explanation:

It will fit in the space but it won't cover the entire space. the area is 48m2, but the patio in question will cover 43.75 of the 48m2. Also, it stated that the rectangular space is 3 times as long, and the patio is 3.57x as long as the width. So yes, it will fit, but it will not be a picture perfect fit, there will be some obscenities.

Step-by-step explanation:

Let length of space be lm and width be wm.

l = 3w --(1)

lw = 48 --(2)

sub (1) into (2):

3w(w) = 48

3w^2 = 48

w^2 = 16

w = ± 4 (rej -4 since w > 0)

when w = 4, l = 3(4) = 12

Since dimensions of the patio is 3.5m by 12.5m, and the dimensions of the space is 4m by 12m it does not fit

This is a topic known as simultaneous equations. If you would like to find out more / know when and how to use it, you can check out my Instagram page (learntionary)

Answer:

I would say the last one

Step-by-step explanation:

The third works the same way but 46/17 is hard to calculate without a calculator

Answer:

36 attempts

Step-by-step explanation:

Answer:

The x intercept is (4,0) and the y intercept is (0,-7)

Step-by-step explanation:

Answer:

Step-by-step explanation:

The x-intercept of a line is when the y-coordinate is 0. To find that point on this line, we first want to rearrange the equation into the form

[tex]y = mx + b[/tex]

we are given

[tex]14x - 8y = 56\\so, \\14x - 56 = 8y\\\frac{14x}{8} - \frac{56}{8} = \frac{8y}{8} \\y = \frac{7}{4}(x) - 7[/tex]

now, we can set y to 0 and solve

[tex]\frac{7}{4}(x) = 7\\7x = 28\\x = 4[/tex]

The x-intercept is (4, 0)

Answer:

Step-by-step explanation:

722222

Answer:

136 r 13

Step-by-step explanation:

divide the numbers using long division:

         1 3 6

   __________

18 | 2 4 6 1

    - 1 8

     ___

         6 6

        - 54

        _____

           1 2  1

        -  1 0 8

           _____

               1 3    

So 2461 / 18 is 136, remainder 13

Answer: The dollar value of the raffle prize = 300

Step-by-step explanation:

Given: The equation T - 6P = 100 describes this relationship, where T is the expected number of tickets sold, and P is the dollar value of the raffle prize.

If T =1900

Then,

[tex]1900-6P=100[/tex]  [Put T=1900 in given equation]

[tex]\Rightarrow\ 6P=1900-100\\\\\Rightarrow\ 6P= 1800\\\\\Rightarrow P=\dfrac{1800}{6}\\\\\Rightarrow\ P=300[/tex]

Hence, the dollar value of the raffle prize = 300

Answer:

-9.

Step-by-step explanation:

Responder:

Opción de respuesta c

Explicación paso a paso:

Es una pendiente positiva como los datos, también coincide con muchos de los puntos.

Espero que te aya ayudado

Answer:

Answer choice c

Step-by-step explanation:

It is a positive slope like the data, it also matches up with many of the points.

Answer:

The numbers are -11 and -9.

Step-by-step explanation:

The two numbers are x and y.

x = y - 2

2y = 5x + 37

2y = 5(y - 2) + 37

2y = 5y - 10 + 37

3y = - 27

y = -9

x = - 11

Answer:

0 I think because when you plug y in and combine like terms, you get 7x=0

Answer:

(I'm not sure what you're asking but I believe you're asking for the coordinate where they intersect!)

The lines intersect at (0, 4)

Step-by-step explanation:

Question:

12x-5y=-20

y=x+4

1) Simplify the first equation!

12x-5y=-20

Move 12x to the other side (remember when you move numbers to the opposite side of the equation, it makes them negative) to isolate y!

-5y=-20-12x

Divide all numbers by -5 to just get the variable y

y=4+12/5x

2) Solve

I'm going to be solving by substitution since I like this method the best!

y=4+12/5x

y=x+4

1) Set the equations equal to another (you'll be replacing the variable of y for an equation)

x+4 will be replacing y of the other equation

x+4 = 4+12/5x

2) Simplify

Subtract x on both sides

x-x + 4 = 4+ 12/5x-x

4=4+7/5x

Subtract 4 on both sides

0=7/5x

x is equal to 0!

3) Find y

1) Set x equal to 0 in an equation (I'm doing y=x+4 because it's easier!)

y=x+4

y=0+4

2) Simplify

y=4

Answer:

(0, 4)

Answer:

Step-by-step explanation:

4(y)3 - 3(z)4

Sub:- 4(3)raise to three - 3(2)raise to four

4(27)-3(16)

4*27-3*16

108-48

=60.

Answer:

The decimal is 4.980

Step-by-step explanation:

BRAINLIEST PLS