I don't know what it means by an obtuse angle. I have to choose math because I don't see a subject for shapes and stuff.

Answer:

sine=opposite/hypotenuse

cosine=adjacent/hypotenuse

tangent=opposite/adjacent

a: 42

b: 135 km/h

Step-by-step explanation:

For part A, you are given the adjacent and opposite side lengths so you need to use the tangent formula. On the calculator, it is tan^-1 (90/100)

For part B, I used the pythagorean theorem and did 100^2+90^2= 18100 and then took the square root of that to get 135.

Answer: 3 inches

Step-by-step explanation:

Answer:

x = 10

Step-by-step explanation:

Answer:

[tex]\bf x=10[/tex]

Step-by-step explanation:

[tex]\tt 4x+3(x-1)=67[/tex]

Use the distributive property to multiply 3 by x-1:-

[tex]\tt 4x+3x-3=67[/tex]

Combine 4x and 3x = 7x:-

[tex]\tt 7x-3=67[/tex]

Add 3 to both sides:-

[tex]\tt 7x=70[/tex]

Divide both sides by 7:-

[tex]\tt \cfrac{7x}{7} =\cfrac{70}{7}[/tex]

[tex]\tt x=10[/tex]

Answer:

n=45

Step-by-step explanation:

Sum of interior angles can be calculated using formula: 180(number of sides - 2).

Hexagon has: 720 degrees. we subtract two right angles and get 4x=540. The x is the angle supplement to n. x=135 => 180-x=35 => n=45.

Answer:

  x = 50

Step-by-step explanation:

The marked angles are vertical angles, so are congruent.

  3x -3 = 147 . . . . congruent angles have equal measures

  x -1 = 49 . . . . . divide by3

  x = 50 . . . . . . add 1

Answer:

Mean Absolute Deviation: 4

Step-by-step explanation:

A mean absolute deviation is measured how much the values in the data set are likely to differ from the mean.

Answer:

75%

Step-by-step explanation:

Answer:

1/2652

Step-by-step explanation:

52 cards    one jack spades      1/52

now 51 cards left   one jack diamonds   1/51

1/52 * 1/51 = 1 / 2652

Answer:

c 2.00 in vec ay se the back yard

Answer:

C.

Step-by-step explanation:

1) domain is: x≥7; range f(x)≥9.

2) answer C

Answer:

its 58

Step-by-step explanation:

The measure of angle 2 is 58 degrees

The figure that completes the question is added as an attachment

The given parameters are:

Both angles add up to 90 degrees.

So, we have:

3x - 4 + 4x + 10 = 90

Evaluate the like terms

7x = 84

Divide both sides by 7

x =12

Substitute x =12 in Angle 2 = 4x + 10

Angle 2 = 4 * 12 + 10

Evaluate the expression

Angle 2 = 58

Hence, the measure of angle 2 is 58 degrees

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Answer:

f(g(x)) = =2(-x^2+5)-3

=-2x^2+10-3

=-2x^2+7

Sorry, I'm not sure about g(f(x)).

Step-by-step explanation:

f(g(x))=f(-x^2+5)=2x-3

=2(-x^2+5)-3

=-2x^2+10-3

=-2x^2+7

Answer:

The slope is 6

Step-by-step explanation:

m = y2 - y1/x2 - x1

ΔX = 3 – 2 = 1

ΔY = 7 – 1 = 6

6/1 = 6

Using proportions, given the density value, it is found that the ballons contain 9.8 kilograms of helium.

A proportion is a fraction of a total amount.

In this problem, we have that each ballon contain 0.14 kilograms per cubic meter.

You get 5 ballons, each with 14 cubic meters, hence the total volume is given by:

V = 5 x 14 = 70 m³.

Applying the density, we have that the total mass is given by:

M = 0.14 x 70 = 9.8 kilograms.

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Answer:

the answer is C

Step-by-step explanation:

Answer:

46.7%

Step-by-step explanation:

The fraction of youths preferring printedbooks

= 21/(21+24)

= 21/45

= 21 *100 / 45

= 46.67%

Answer:

between 31 and 29 classes

Step-by-step explanation:

The best estimate of the number of times out of 32 that Lexie is on time to class is 30.4.

It is a branch of mathematics that deals with the occurrence of a random event.

Given:

The probability that Lexie is on time for given class is 95% and there are 32 classes during the semester.

So,

=32 * 0.95

= 30.4

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Answer:

That corresponds to a width of 3.5 feet, so a yard of paper covers an area of 3 x 3.5 = 10.5 square feet

     [tex]I=\displaystyle \int \dfrac{\sqrt x}{\sqrt x -4} ~dx\\\\\text{Let,}\\\\~~~~u=\sqrt x-4\\\\\implies \dfrac{du}{dx} = \dfrac d{dx} \left( \sqrt x -4 \right)\\\\\implies \dfrac{du}{dx} = \dfrac 1{2 \sqrt x} \\\\\implies dx =2\sqrt x~ du\\\\\\I= \displaystyle \int \dfrac{u+4}{u+4 -4 } 2(u+4) du\\\\\\~~~=2\displaystyle \int \dfrac{(u+4)^2}{u} du\\\\\\~~~=2\displaystyle \int \dfrac{u^2+ 8u+16}{u} du\\\\\\~~~=2\displaystyle \int \left(u+8+\dfrac{16}u\right) du\\\\\\[/tex]

    [tex]~~~=2\left(\displaystyle \int u ~ du + \displaystyle \int 8 ~ du + \displaystyle \int \dfrac{16} u ~ du\right) \\\\\\~~~=2\left( \dfrac {u^2}2 + 8u+16\ln |u| \right) +C\\\\\\~~~~= u^2 + 16u+ 32 \ln |u|+C\\\\\\~~~~=\left( \sqrt x -4 \right)^2 + 16\left( \sqrt x -4 \right) +32 \ln |\sqrt x -4|+C\\\\\\~~~~= x-8\sqrt x+16 +16\sqrt x -64 +32 \ln \left|\sqrt x-4 \right|+C\\\\\\\~~~~=x+8\sqrt x -48 +32\ln|\sqrt x -4| +C[/tex]

Answer:

B.

Step-by-step explanation:

Because if you look closely you will be able to tell which answer it is by looking at the way the shape formed andjust breakaprt the shape .

Answer:

y = -1/4x + 1

Step-by-step explanation:

Slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.

The y-intercept of the line is 1, so in slope-intercept form, b will be 1.

Now, the line also intersects the y-axis at (4, 0). We can plug these two points into slope formula to find the slope: (0-1)/(4-0) = -1/4.

Therefore, the equation of the line is y=-1/4x + 1

Answer:

Step-by-step explanation:

Jim drank 2 and 4/5 orange juice

2and 4/5=14/5 orange juice

jack drank  1and 1/10 less than Jim= 11/10 less than Jim

I introduce the whole numbers into the fractions

we will convert the number 14/5 into a fraction that has the denominator 10, by multiplying by 2 both numerator and denominator

(14/5 )*2=28/10

Now we can find out how much juine Jack drank

28/10- 11/10= 17/10

so Jack drank 17/10 orange juice , the fraction can be written also as

1 and 7/10

Answer:

16

Step-by-step explanation:

f(x) = x becomes g(x) = (1/5)x through vertical compression by a factor of 5.

Answer:

Every third student who enters each homeroom

Step-by-step explanation:

This would produce the least biased results as every third student gives a 3/x for students and there are y homerooms, giving the least biased results.

Answer:

(70*v^3*u^2)/x

Step-by-step explanation:

(2v^6 * 7u^7 * u^-5 * x * v^-3 * 5 * x^-2)

(2 * 5 * 7) * (v^6 * v^-3) * (u^7 * u^-5) * (x * x^-2)

70 * v^(6 - 3) * u^(7 - 5) * x^(1 - 2)

70 * v^3 * u^2 / x

The length of the diagonal brace when Jonathan is building a box in the shape of a rectangular prism is 17 inches.

From the information given, the dimensions are given as 8 inches by 12 inches by 9 inches.

Therefore, the length of the diagonal brace will be:

= ✓12 + ✓8 + ✓9

= ✓289

= 17

In conclusion, the correct option is 17 inches.

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