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What’s the total and lateral surface area for the figure?

Answer:

32

Step-by-step explanation:

Answer:

89

Step-by-step explanation:

Draw a right triangle, put the angle of elevation as 40 degrees and the feet for the base of your triangle (standing 100 feet from the base of the hill) as 100ft. According to SOH CAH TOA, we will be using tan, where you will get:

tan(40)=x/100

x=100tan(40)=83.9

Add 5 feet, which was your eyes off the ground, and it will be 83.9+5=89

Final Answer: 89

The altitude of the hiker sitting on the bench of the hill is 89 feet.

Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a triangle (right-angled triangle) and its angles.

For the given situation,

The angle of elevation = 40°

Distance from base of the hill = 100 feet

Distance from the ground to the eye level = 5 feet

The diagram below shows the right angled triangle.

Let the altitude from the eye sight to the bench be x.

Total altitude = x + 5

The altitude of the hiker can be found by using trigonometric ratio,

[tex]tan\theta= \frac{opposite}{adjacent}[/tex]

⇒ [tex]tan 40=\frac{x}{100}[/tex]

⇒ [tex]0.8390=\frac{x}{100}[/tex]

⇒ [tex]x=83.90[/tex]

Total height = [tex]x+5[/tex]

⇒ [tex]83.90+5[/tex]

⇒ [tex]88.90[/tex] ≈ [tex]89[/tex]

Hence we can conclude that the altitude of the hiker sitting on the bench of the hill is 89 feet.

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Answer:

A regular polygon is a flat shape whose sides are all equal and whose angles are all equal. The formula for finding the sum of the measure of the interior angles is (n - 2) * 180. To find the measure of one interior angle, we take that formula and divide by the number of sides n: (n - 2) * 180 / n.

Step-by-step explanation:

140

∘

Each interior angle of regular polygon of n sides is given by  

n

180(n−2)

​

 degree

∴ each interior angle =

9

180(9−2)

​

degree

=20×7

=140

Answer:

28 units sqr

Step-by-step explanation:

Area of Rectangle

A= Lw = 8(4) = 32

Area of Triangle

A= [tex]\frac{b(h)}{2}[/tex] = [tex]\frac{2(4)}{2}[/tex] = 4

32- 4 = 28 units sqr

Answer:

C

Step-by-step explanation:

Because it isn't a negative number so it should have a closed circle with a line going to 11 and on. Hoped this helped. ;)

Answer:

C

Step-by-step explanation:

Answer:

la respuesta que buscas es bastante simple pero no lo sé

Step-by-step explanation:

Answer:

x = 1.5

Step-by-step explanation:

8x + 8 - 3x - 12 = 14 - 7x

5x - 4 = 14 - 7x

-4 = 14 - 12x

-18 = -12x

x = 18/12 or 3/2

Answer:

10

Answer:

.....................

Step-by-step explanation:

Answer:

$ 602.7

Step-by-step explanation:

2009$ x 30% = 602.7

Responder:

Expressão monomial de terceiro grau

Explicação passo a passo:

O número de expressões de um termo algébrico. Contém é usado para nomeá-los em:

Monomial = 1 termo.

Binomial = 2 termos

Trinomial e assim por diante; A expressão fornecida acima contém apenas um único termo '7x³', portanto, é uma expressão monomial. A maior potência em que a variável na equação quadrática é elevada é chamada de potência;

A expressão acima é elevada à potência 3. Portanto, a equação quadrática é um monômio elevado à potência 3.

Portanto, é um monômio de terceiro grau.

Answer:

it's simple just divide

Answer: 452 students

25 x 18 = 450 + 2= 452

Answer:

C

Step-by-step explanation:

Correct on edge 2020

Answer:

la respuesta que buscas es bastante simple pero no lo sé

Step-by-step explanation:

Answer:

226.80

Step-by-step explanation:

Answer:

$226.8

Step-by-step explanation:

you take 210 and times it by 8%

210 x 8%(.08)= 16.8

then add that 16.8 back to the 210

210+16.8= 226.8

Answer:

First off the picture is upside down, second of why cant people take a straight picture, ps sorry my adhd, y=m4+8

Step-by-step explanation:

Answer: the answer is A

Step-by-step explanation:

u need to look where the lines intercept and im doing this in my math class now so my teacher said wherever the lines intercept u need to take the points where they intercept at so for this one it would be (4,8) and the other is (0,-8)

Answer:B, C and D are all correct

Step-by-step explanation:

Because, A. 3 (5 + b)

B. 5 (b + 3)

C. 5b + 15

D. 15 + 5b

E. 3 ⋅ 5 + 3b

Answer:

G oogle it, you will get different answers.

Step-by-step explanation:

To gain employment as a teacher, at least a bachelor’s degree is required. Some teachers choose to major in the subject area they plan to teach, such as English, history, or biology, but it is generally not a requirement to do so. In many states, including California, Massachusetts, and Pennsylvania, a master’s degree is also required in order to obtain a teaching certificate. For any state you teach in, a certificate or license specific to that state is required. The certificate is typically given after prospective teachers pass a state-specific teaching exam. Some states also require that teachers have some supervised experienced teaching, or that they have completed a teacher preparation program.

Skills for teachers

Teachers should be comfortable with speaking in front of people, and should have strong communication skills. Organization is also an important skill for teachers, as creating lesson plans, grading and handing back assignments, and keeping students on track for state exams all require attention to detail and the ability to stay organized. It is also important for teachers to have the ability to stay calm in chaotic situations and to mediate between young students. Answer:

you

Step-by-step explanation:

The solution of the given equation (x + 4)(x - 3) = -10 is -2.

Thus, option C is correct.

Two algebraic expressions separated by an equal symbol in between them and with the same value of the expression are called equations.

Example = 2x +4 = 12

Here, 4 and 12 are constants and x is variable

Given equation:

Multiply the brackets,

(x + 4)(x - 3) = -10

[tex]x^2-3x+4x-12 = -10[/tex]

x^2 +x -12+10 =0

x^2 +x -2=0

x(x+2)-1(x+2)=0

(x+2)(x-1)=0

x= -2, x=1

Thus, option C is correct.

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Answer:

75°,

mUV = 105°, the other 2 are both 75°. This means mTU = 75°

Answer:

32.2 feet

Step-by-step explanation:

Answer:

32.2

Step-by-step explanation:

Answer:

65.94

Step-by-step explanation:

2 + 3 = 5

r = 5

Small circle:

r = 2

A = πr²

A=(3.14)2²

A = 12.56

Large circle:

r = 5

A = πr²

A=(3.14)5²

A = 78.5

78.5 - 12.56 = 65.94

9514 1404 393

Answer:

  G.  84.5 cm

Step-by-step explanation:

Assuming the lateral area is 6760π cm², we can find the height from ...

  A = 2πrh

  r = A/(2πh) = (6760π cm²)/(2π·40 cm) 6760/80 cm = 84.5 cm

The radius of the can is 84.5 cm.

Answer:

[tex]4x^2 -4x - 48 = 0[/tex]

Step-by-step explanation:

Given

[tex]x= -3 \ or\ 4[/tex] -- roots

[tex]n= 4[/tex] --- leading coefficient

Required

Calculate the quadratic equation

[tex]x= -3 \ or\ 4[/tex]

Split to 2:

[tex]x = -3\ or\ x = 4[/tex]

Equate both to 0

[tex]x +3 = 0\ or\ x - 4= 0[/tex]

Multiply both together:

[tex](x + 3) * (x - 4) = 0 * 0[/tex]

[tex](x + 3) * (x - 4) = 0[/tex]

[tex]x^2 -4x +3x - 12 = 0[/tex]

[tex]x^2 -x - 12 = 0[/tex]

Multiply both sides by the leading coefficient, n

[tex]n * [x^2 -x - 12] = 0 * n[/tex]

[tex]4 * [x^2 -x - 12] = 0 * 4[/tex]

[tex]4 * [x^2 -x - 12] = 0[/tex]

Open brackets

[tex]4x^2 -4x - 48 = 0[/tex]

Answer:

[tex]A(t) = 600(1.035)^8[/tex]

The ending balance is of $790.1.

Step-by-step explanation:

Compound interest:

The amount of money earned after t years, in compound interest, is given by:

[tex]A(t) = A(0)(1+r)^{t}[/tex]

In which A(0) is the initial amount of money and r is the interest rate, as a decimal.

$600 that earns 3.5% compound interest over 8 years

This means, respectively, that:

[tex]A(0) = 600, r = 0.035, t = 8[/tex]

So, the formula is:

[tex]A(t) = A(0)(1+r)^{t}[/tex]

[tex]A(t) = 600(1+0.035)^{8}[/tex]

[tex]A(t) = 600(1.035)^8[/tex]

Ending balance:

The ending balance is:

[tex]A(t) = 600(1.035)^8 = 790.1[/tex]

The ending balance is of $790.1.

Answer:

40.95

Step-by-step explanation:

First, calculate the tax rate for the belt.

$25 is 1/4 of 100. 5% of 100 is 5, so the tax for 25 is 1/4 of 5, or 1.25.

Next, calculate the tax for the shirt. 14*0.05=0.7

Add everything together.

14+25+0.7+1.25=40.95

Answer:

Step-by-step explanation:

[angle of sector]/360 x π x radius ² [formula to find area of a sector]

30/360 x π x 4²

Type into a calculator

4.18879