Find the area of the figure. If needed, round to the nearest tenth.

Isosceles trapezoid
An isosceles trapezoid with bottom base length of 8 feet, top base of 4 feet, and height of 3 feet.
a.
36 sq. ft
b.
18 sq. ft
c.
15 sq. ft
d.
16 sq. ft



Please select the best answer from the choices provided

a= 34 degrees

b= 28 degrees

c= 62 degrees

Step-by-step explanation:

First you know that b is 1/2 of 56 degrees or 28.

The triangle with the a in it is isoceles because the two sides are both radii.

In the triangle the top angle = 112 because it is a centeral angle to the 112 arc.

Angle a and opposite to a are equal and then have to be 34 degrees to equal 180.

We know two arc lengths are 112 and 56 and the one with angle a has to be 34x2 or 68.

a whole circle equals 360.

360-56-68-112 = 124

Angle c = 1/2 of 124, or 62 degrees

Answer:

x=3               x = -8           x = 11

Step-by-step explanation:

f(x) = (x − 3)(x + 8)(x − 11)

Using the zero product property

0 = (x − 3)(x + 8)(x − 11)

0 = x-3      0 = x+8     0 = x-11

x=3               x = -8           x = 11

Answer:

x=3               x = -8           x = 11

Hope this helps!

Answer

Step-by-step explanation:

Law of sines: SinB/15 = SinA/BC

B = 90

A = 180-90-21=69°

BC= (15*SinA)/SinB = (15*sin69)/1 ≈ 14m

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Explanation:

We have

f(-5) = 0 and f(2) = 4

This means the two points (-5,0) and (2,4) are on this line

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Find the slope of the line through (x1,y1) = (-5,0) and (x2,y2) = (2,4)

m = (y2 - y1)/(x2 - x1)

m = (4 - 0)/(2 - (-5))

m = (4 - 0)/(2 + 5)

m = 4/7 is the slope

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Plug m = 4/7 and (x1,y1) = (-5,0) into the point-slope formula. Solve for y.

y - y1 = m(x - x1)

y - 0 = (4/7)(x - (-5))

y = (4/7)(x + 5)

y = (4/7)x + (4/7)*5

y = (4/7)x + 20/7

f(x) = (4/7)x + 20/7

This linear equation has a slope of 4/7 and a y intercept of 20/7.

The equation for f ( x ) would be; f(x) = (4/7)x + 20/7

The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

We are given f(-5) = 0 and f(2) = 4

This means the two points (-5,0) and (2,4) are on this line

To Find the slope of the line through (x1,y1) = (-5,0) and (x2,y2) = (2,4)

m = (y2 - y1)/(x2 - x1)

m = (4 - 0)/(2 - (-5))

m = (4 - 0)/(2 + 5)

m = 4/7 is the slope

Then substitute m = 4/7 and (x1,y1) = (-5,0) into the point-slope formula. Solve for y;

y - y1 = m(x - x1)

y - 0 = (4/7)(x - (-5))

y = (4/7)(x + 5)

y = (4/7)x + (4/7)*5

y = (4/7)x + 20/7

f(x) = (4/7)x + 20/7

The linear equation has a slope of 4/7 and a y intercept of 20/7.

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Answer:

- 7, 0.9, 8.5, 16

Step-by-step explanation:

It should be that x must be greater than - 12, so let us consider all options;

[tex]- 20 < - 12,\\- 12 = - 12,\\ - 7 > 12,\\ 0.9 > 12,\\8.5 > - 12,\\16 > - 12[/tex]

Let us substitute x as each of these values;

[tex]x < - 12,\\x = - 12,\\x > - 12,\\x > - 12,\\x > - 12,\\x > - 12[/tex]

As you can tell, the last 4 Options are applicable;

Solution ⇒ - 7, 0.9, 8.5, 16

The solutions to inequality are - 7, 0.9, 8.5, and 16.

In mathematics, an inequality is a relation that makes a non-identical contrast between two numbers or other mathematical expressions.

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Answer:

The length of a is equal to 14.9.

The angle measure of b is equal to 71°.

The length of c is equal to 25.5.

General Formulas and Concepts:
Pre-Calculus

Law of Sines:
[tex]\displaystyle \bold{ \frac{\sin A}{a} = \frac{\sin B}{b} = \frac{\sin C}{c} }[/tex]

Step-by-step explanation:

Step 1: Define

Identify given from triangle.

Length corresponding with x°: 14.9

Other given angle: 71°

Length corresponding with 71°: 25.5

Step 2: Find Values

∴ we have completed the expression using Law of Sines.

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Topic: Precalculus

Unit: Trigonometry

Answer:

24 ^ 8

Step-by-step explanation:

sqrt(24) ^ 16th power

Rewriting the square root as  ^ 1/2

24 ^ 1/2 ^ 16

We know that a^b^c = a^ (b*c)

24 ^ (1/2*16)

24 ^ 8

Answer:

2²⁴ *3⁸ or  24⁸

Step-by-step explanation:

the square root of 24 to the 16th power  can be written as 24

([tex]\sqrt{24}[/tex] )¹⁶

√ means power of 1/2 so ([tex]\sqrt{24}[/tex] )¹⁶ = (24)^(¹⁶/₂) = 24⁸ or

24 = 4*6 and [tex]\sqrt{24} = 2\sqrt{6}[/tex]

then (2[tex]\sqrt{6}[/tex] )¹⁶= 2¹⁶ *6⁸ = 2¹⁶ * 2⁸ *3⁸ = 2²⁴ *3⁸

Answer:

6 min

Step-by-step explanation:

5 kilometers = 5,000 meters

500/5,000 = 1/10 meaning it would take him 1/10 of an hour or 6 minutes to cover this distance.

Answer:

0.705

Step-by-step explanation:

Data:

walks=0.65 and is late=0.4;is not late=0.6

cycles=0.35 and is late=0.1;is not late=0.9

The probability of sheila walking and not being late:  

0.65 x 0.6=0.39  

AND probability of being not late and cycling:

0.35 x 0.9=0.315

therefore,the probability of sheila walking or cycling and still not being late:

0.39+0.315=0.705

Answer:

Step-by-step explanation:

Using the compound interest formula [tex]A = P(1+\frac{r}{n} )^{nt}[/tex]

A = amount compounded after n years

P = principal (amount invested)

r = rate (in %)

t = time (in years)

n = time used to compound the money

Given P =  £1200., r = 3.5%, t = 3years, n = 1 year(compounded annually)

[tex]A = 1200(1+0.035)^{3}\\ A = 1200(1.035)^{3}\\ A = 1200* 1.108717875\\A = 1,330.46[/tex]

Value of Charlie's investment after 3 years is £1,330.46

Answer:

33 1/3 minutes

Step-by-step explanation:

I note x- number of sentences

          y=time

when  x=3, y=1

          x=6, y= 2

           I observe that for every 3 sentences I have one more minute ( y increases by 1)  so y= x/3

when x=99 i have y=99/3=33 minutes

          for x= 100 I have y=100/3minutes= 33  1/3 minutes

Answer:

that's the lowest term actually

Answer negative 9 is the answer

Step-by-step explanation:

Answer:

14.

Step-by-step explanation:

Simplify:

f(x)-g(x)

3x^2+1 - (1-x)

3x^2+ x

Solve:

(f-g)(2)

3(2)^2 + 2= 3*4+2

= 14

Answer:

Option (c) 7.3

Step-by-step explanation:

Since is forms a right angled traingle,

a= 3+4= 7

b = 4-2= 2

c = AB

Pythagorean theorem:

a^2+b^2 = c^2

So since we know a and B but the hypotenuse (c) is missing

7^2 + 2^2 = c^2

c^2 = 49+4

= 53

c = √53

= 7.28 rounded off to 7.3

So the length of hypotenuse or c is 7.3 units

Therefore, the length is 7.3

Answer:

Step-by-step explanation:

A linear function is a line which, in slope-intercept form, follows

y = mx + b,

where m is the slope and b is the y-intercept.

The only one that follows that form is B. B can be rewritten as

[tex]y=\frac{1}{3}x+2[/tex]

and in that form we see that the slope value is 1/3 and the y-intercept is 2. The choice is B.

A is a radical function moved up from its originating spot; C is an inverse function moved down 4 units from its originating spot with a vertical asymptote at x = 0; and D is a cubic moved down 10 units from its originating spot.

B is the one you want.

Answer:

3 2/3

Step-by-step explanation:

Divide 11 by 3 using long division method. then place the quotient as whole number and reminder as numerator and dividend as denominator

The fraction 1 1/3 as an improper fraction is 4/3

From the question, we have the following parameters that can be used in our computation:

Fraction =  1 1/3

When converted to an improper fraction, we have

Numerator = 3 * 1 + 1

Evaluate

Numerator = 4

The denominator remains the same

So, we have

Fraction =  4/3

Hence, the fraction is 4/3

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Answer: 20

Step-by-step explanation:

(i) Sona got 10 answers correct.

1 correct answer = 3 marks

10 correct answers = 10×3 = 30 marks but she got only 20

1 wrong answer = -1 mark

that means she attempted 10 incorrect answers.

No.of questions in the test= no.of incorrect + no.of correct answers

10+10= 20

Answer:

90

Step-by-step explanation:

140-50

this is because the band took 50 and got 140 to remove 50 from 140

Answer:

Final potential energy = 24 Joule

The velocity with which object must be thrown = [tex]4 \sqrt{10}[/tex] m/s

Step-by-step explanation:

Given:

Mass of object, m = 0.30 Kg

Height of object, h = 8 m

Acceleration due to gravity, g = 10 [tex]ms^{-2}[/tex]

a) Formula for Potential Energy:

[tex]E_p =mgh[/tex]

Where m is the mass of object

g is acceleration due to gravity and

h is the height of object

Putting the values of m, g and h

[tex]E_p = 0.3 \times 10 \times 8\\\Rightarrow E_p =24 J[/tex]

b) Formula for initial and final velocity:

[tex]v^{2} =u^{2} +2gh[/tex]

where v is the final velocity

u is the initial velocity with which the object is thrown

g is acceleration due to gravity and

h is the height obtained by object

here v = 0 at the height 8 m because it will come to rest at the point it attains the maximum height.

h = 8m

g = -10 [tex]ms^{-2}[/tex] (negative because the object's velocity is decreasing)

Putting the values to find 'u':

[tex]0^{2} =u^{2} +2 \times -10 \times 8\\\Rightarrow u^{2} = 160\\\Rightarrow u = 4 \sqrt{10}\ m/s[/tex]

Answer:

x=9 is the answer......

Just subtract 100 - 50 and you get x = 50

Answer:

x = 50

Step-by-step explanation:

100 -50 = 50

50+50=100

Have a wonderful day and stay safe!

Answer:

A, all real numbers

Step-by-step explanation:

The domain is the x value and the x value is the domain.

So when you take a look at the x values, it keeps going on and on

So when x values or y values keep going on forever we call that all real numbers

Hope this helps! Plz mark brainliest!

Answer:

q=10

Step-by-step explanation:

-10+10q=9q

-10=-q

q=10

Answer:

87.2

Step-by-step explanation:

90+93+87+83+86+90+82=611

611/7=87.29

answer is b

Answer:

C

Step-by-step explanation:

f(x)=72-4x

72-4x=0

4x=72

x=18

f(x)<=18

Answer:

Xavier has 136 beads, Yaozhou has 204 beads and Zara has 68 beads.

Step-by-step explanation:

Let the number of beads that Xavier has be x.

Let the number of beads that Yaozhou has be y.

Let the number of beads that Zara has be z.

The total number of beads they have altogether is 438. This means that:

x + y + z = 438 _______(1)

Xavier and Zara have a total of 204 beads. This means that:

x + z = 204

=> x = 204 - z _______(2)

Yaozhou has 3 times as many beads as Zara. This means that:

y = 3z _________________(3)

Put (2) and (3) in (1):

204 - z + 3z + z = 408

3z = 408 - 204 = 204

z = 204/3 = 68

From (2):

x = 204 - 68 = 136

From (3):

y = 3 * 68 = 204

Therefore, Xavier has 136 beads, Yaozhou has 204 beads and Zara has 68 beads.

Answer:

80 feet

Step-by-step explanation:

Given that x is the horizontal distance in feet and  f(x) is the vertical distance in feet. The minimum point of a function is its lowest point. For a quadratic equation, at its minimum or  maximum point, the slope of the graph is equal to zero.

For the table of the function given below, it can be seen that the lowest point occurs when x = 80 feet, at this point, the value of f(x) is at its lowest which is 0.

Therefore at the minimum point, it is 80 feet far from the wall .

Answer:

The answer is C!

Step-by-step explanation:

Your welcome