Solve the equation in the image

Answer:

Step-by-step explanation:

8/17

Answer:

8/17

Step-by-step explanation:

cos = adjacent/hypotenuse

cos X = 8/17

Answer:

Areas = (10x+4)(3x+2)

Area = 30x^2 + 20x +12x +8

Area = 30X^2 +32x +8 sq. ft.

Step-by-step explanation:

Answer:

The scale factor to transform DEF to D'E'F' is 1/2

Step-by-step explanation:

DEF is

D(-8, 6), E(-8, 14), F(2, 3)

D'(-3, 6), E'(-3, 10), F'(2, 4.5)

Therefore;

DE = √((-8-(-8))²+(6-14)²) = 8

D'E' = √((-3 -(-3))² + (6 - 10)²) = 4

Similarly,

EF = √((-8 - 2)² + (14 - 3)²) = √(100 + 121) = √221

E'F' = √((-3 - 2)² + (10 - 4.5)²) = √(100/4 + 121/4) = (√221) × 1/2

Also

DF = √(-8 - 2)² + (6 - 3)² = √(100 + 9 =√109

D'F' = √(-3 - 2)² + (6 - 4.5)² = √(5² + 3²) = √((10/2)² + (3/2)²) = √(100/4 + 9/4) = (√109)×1/2

Therefore the ratio of DEF to D'E'F' = DE/D'F' = EF/E'F' = DF/D'F' = √221/(√221) × 1/2 = 2

That is the scale factor of DEF to D'E'F'  = 1/2.

Answer:

393.75 m^3

Step-by-step explanation:

to find the volume, u need to multiply the length by the width by the height . when u multiply the 3 numbers u will get 393.75 m^3

Answer:

The answer is -18

Step-by-step explanation:

Actually if the x2 is supposed to be x^2 then it's -10

Answer: -18

Step-by-step explanation:

Answer: an angle is defined as two rays with a common end point, so CAB is an angle. A line is described as an infinite set of points that extend forever in eaither direction, which these rays also do.

Step-by-step explanation:

Answer:

An angle is defined as two rays with a common endpoint, so CAB (or BAC) is an angle. A line is described as an infinite set of points that extend forever in either direction, which these rays also do.

What did you include in your response? Check all that apply.  (You should have all of these)

Angles are rays with a shared endpoint.

Lines extend forever in either direction.

Rays AB and AC extend forever in either direction.  

Answer:

terrance then mike then nathan

Step-by-step explanation:

Answer:

x =144.3

Step-by-step explanation:

Let x  be the unknown angle

The two angles add to 180

x+35.7 = 180

Subtract 25.7 from each side

x+35.7 -35.7 = 180-35.7

x =144.3

Answer:

About 11494.04

Step-by-step explanation:

There is no sphere shown above but I can still get you the answer:

The formula for the volume of a sphere is [tex]\frac{4}{3} *[/tex]π*r³

Putting in the radius, we get:

[tex]\frac{4}{3}[/tex]*π*14³=

[tex]\frac{4}{3}[/tex]*π*2744=

[tex]\frac{10976}{3}[/tex]*π=

3658.66*π≈11494.04

Answer:

g+h+(j+k)

Step-by-step explanation:

(g+h)+j+k

(g+k)+j+h

(g+j)+h+k

(k+h)+j+h

(j+h)+g+k

Answer:

1 and 3

Step-by-step explanation:

dont mind me this needed to be longer wait still needs no be longer

Answer:

D.27

Step-by-step explanation:

its kinda hard to explain i would have to show you give me ur email and i will send u a video if u like

Answer:

60 pairs of shoes

Step-by-step explanation:

To find the answer, multiply 4x15. The words four times as many mean to do the operation of multiplication. 4x15= 60 So finally, each have 60 pairs of shoes.

i hope this helped:)

Answer:

7.5

Step-by-step:

Julie: ?

Her brother: ?

Total number: 15

So: 15 divided to julie and her brother-

There for 15 divide by 2 is 7.5

7.5+7.5=15

Answer:x+3

Step-by-step explanation:

5×3=15

5+3=8x

Answer:

A

Step-by-step explanation:

Answer:

92

Step-by-step explanation:

180-88=92

Supplementary angles equal 180 degrees

Answer:

92 degrees

Step-by-step explanation:

180-88=92

Answer:

The explicit formula is Tn = 34 + 3n

Step-by-step explanation:

The nth term of an arithmetic sequence can be represented using the formula

Tn = a + (n-1)d

where a is the first term , n is the number of terms and d is the common difference

For the 12 term(a12), n = 12

70 = a + (12-1)d

70 = a + 11d •••••••(i)

For the 30th term, n = 30

124 = a + (30-1)d

124 = a + 29d •••••••(ii)

Now, directly subtract equation i from ii, we have;

124-70 = (a-a) + (29d-11d)

54 = 18d

d = 54/18

d = 3

To get a , we substitute the value of d in any of the equations

let’s use the first

70 = a + 11d

substituting d = 3

70 = a + 11(3)

70 = a + 33

a = 70-33

a = 37

Thus the explicit formula for the nth term will be

Tn = a + (n-1)d

where a = 37 and d = 3

Tn = 37 + (n-1)3

Tn = 37 + 3n -3

Tn = 34 + 3n

Answer:

distance = sqrt((x2-x1)^2 + (y2-y1))

distance = sqrt((7-13)^2 + (10-2)^2)

distance = sqrt( -6^2 + 8^2)

distance = sqrt(36+64)

distance = 10

Step-by-step explanation:

Answer:

10 units

Step-by-step explanation:

d = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]

d = [tex]\sqrt{(13 - 7)^2 + (2 - 10)^2}[/tex]

d = [tex]\sqrt{(6)^2 + (-8)^2}[/tex]

d = [tex]\sqrt{36 + 64}[/tex]

d = [tex]\sqrt{100}[/tex]

d = 10 units

Answer:

[tex]\sin(\theta_1)=-\dfrac{4}{5}[/tex]

Step-by-step explanation:

Given the angle [tex]\theta_1[/tex] located in [tex]\text {Quadrant IV}[/tex].

[tex]\cos(\theta_1)=\dfrac{3}{5}[/tex]

We want to determine the value of [tex]\sin(\theta_1)[/tex]

Now,

[tex]\cos(\theta)=\dfrac{Adjacent}{Hypotenuse}\\$Therefore:\\Adjacent=3\\Hypotenuse=5\\Using Pythagoras theorem\\Hypotenuse^2=Opposite^2+Adjacent^2\\5^2=Opposite^2+3^2\\Opposite^2=5^2-3^2=16\\Opposite^2=4^2\\$Opposite=4[/tex]

In Quadrant IV,  x is positive, and y is negative.

Therefore, Opposite=-4

[tex]\sin(\theta_1)=-\dfrac{4}{5}[/tex]

Answer:

cos(\theta_1)=\dfrac{84}{85}cos(θ  

1

​  

)=  

85

84

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

13-1=12

12÷4=3

Answer: 11 vertices

Step-by-step explanation:

Hi, to answer this question we simply have to substitute E=18 and F= 9 on Euler's formula:

F+V = E+2

Where:

F = number of faces

V = number of vertices

E= number of edges

Replacing with the values given:

9+V = 18+2

Solving for V:

V =18+2-9

V = 11

Feel free to ask for more if needed or if you did not understand something.  

Answer: A) Option B

B) 22.3 minutes.

Step-by-step explanation:

The temperature decreases in an exponential decrease, this means that we can write the equation as:

T(x) = A*r^x + B

Where A is the difference between the initial temperature and the room temperature, B is the room temperature, and r is a positive number smaller than 1, that says "how fast" the temperature decreases (and x is the variable, in units of time)

We know that the initial temperature

A = 200° - 72° = 128°

B = 72°

T(x) = 128°r^x + 72°

The only option with those two values is option B.

T(x) =  128(0.989)^x + 72

We should check that when x = 2m, the temperature must be 197°

T(2m) = 128*(0.989)^2 + 72 = 197.2° (that we can round down to 197°)

So this equation is correct

Now we want to find the time such the temperature is 172°F

then:

172° = 128°(0.989)^x + 72°

100° = 128°(0.989)^x

100/128 = (0.989)^x

x = ln(100/128)/ln(0.989) = 22.3 minutes.

Let's check in our equation:

T(22.3) =  128°(0.989)^22.3 + 72 = 172°

Answer:

The area of this circle is [tex]176.74cm^2[/tex]

Step-by-step explanation:

The formula for the area of a circle is : [tex]\pi *radius^2[/tex]

The radius is the length from one side of the circle to the centre.

To work this out you would simply multiply pi by the radius of 7.5. squared. This gives you 176.74.

1) Multiply pi by 7.5 squared.

[tex]\pi *7.5^2=176.74cm^2[/tex]

In this question pi is to be 3.142

Answer:

5

Step-by-step explanation:

Using the formula of a trapezoid, we can solve this!

Formula is A=1/2(b1+b2)h.

A=1/2(2+8)1

A=1/2(10)1

A=1/2(10)

The area would be 5 cubic in2.

Please tell me if im wrong! im just a student .m.

Answer:

5 units²

Step-by-step explanation:

a for a trapezoid = [tex]\frac{a+b}{2} *h[/tex]

[tex]\frac{8+2}{2} *1[/tex] = [tex]\frac{10}{2} * 1[/tex] = 5*1 = 5

The area is 5 units²

Answer:

20 cents per unit

Step-by-step explanation:

Since it is 1$ 5 pencils and 100/5=20, the unit cost is 20 cents

Answer:

the unit price is $0.20 for 1 pencil

Step-by-step explanation:

if u see 5 pencils cost 1 dollars and unit price means the value of one item, so like the cost of 1 pencil

write it as a ration of cost to pencil

the ratio is 1/5

now divided 5 on the top and the bottom to get the unit price

1 divided by 5= 0.2

so now the ratio is 0.2/1

Answer:

None of input and output table work for the rule.

Step-by-step explanation:

Start with the numbers given at A, B,C.

According to the rule you need to multiply by 666 to get the output.

A 000 * 666 = 0 (=NOT the output)

B 111 * 666 = 73926 (=NOT the output)

C 222 * 666 = 147852 (=NOT the output)

None of input and output table work for the rule.

Answer:

c

Step-by-step explanation:

khan academy

Answer: C

Step-by-step explanation:

[tex]\frac{3a}{4}+\frac{2a}{3}-\frac{a}{12}[/tex]

Find the least common denominator of 4, 3, and 12.

4-3-12 | 3

4-1-4   | 4

1-1-1    |-------- 12

The first fractions needs to be multiplied by 3, and the second fraction, by 4

[tex](\frac{(3a)*3}{(4)*3})+(\frac{(2a)*4}{(3)*4})-\frac{a}{12}[/tex]

Solve;

[tex]\frac{9a}{12}+\frac{8a}{12}-\frac{a}{12}[/tex]

Add the fractions with positive signs and subtract the one with negative sign.

[tex]\frac{(9a+8a)-a}{12}[/tex]

Solve;

[tex]\frac{17a-a}{12}=\frac{16a}{12}[/tex]

Simplify by 4;

16/4=4

12/4=3

[tex]\frac{4a}{3}[/tex]

Answer:

(4a)/3

Step-by-step explanation:

3a/4+2a/3-a/12

find L.C.M

9a+8a-1a/12=16a/12

16a/12=(4a)/3

Answer:

15.8 I think.........

Answer:

Mark me brain list pls pls pls pls pls pls

Step-by-step explanation:

16.9

Answer:

x⁻²

Step-by-step explanation:

If y = e²ˣ, y' = 2e²ˣ.

2xe²ˣ + 2e²ˣ ≠ 0

If y = x², y' = 2x.

2x² + 2x² ≠ 0

If y = x⁻², y' = -2x⁻³.

-2x⁻² + 2x⁻² = 0

The x^-2 function is a solution to the differential equation

[tex]xy ' + 2y = 0.[/tex]

We have given,

The differential equation[tex]xy ' + 2y = 0.[/tex]

A differential equation is an equation with one or more derivatives of a function. The derivative of the function is given by dy/dx.

If [tex]y = e^{2x}, y' = 2e^{2x}.[/tex]

[tex]2xe^2x + 2e^2x[/tex]≠0

If [tex]y = x^2, y' = 2x.[/tex]

[tex]2x^2 + 2x^2[/tex]≠0

If[tex]y = x^-2, y' = -2x^-3.[/tex]

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

Therefore, the x^-2 function is a solution to the differential equation

[tex]xy ' + 2y = 0.[/tex]

To learn more about the differential equation visit:

https://brainly.com/question/1164377

#SPJ2

Answer:

you have to add all the angles including 'x' which is equals to 180°.

The process is

99+49+x=180

148+x=180

x=180-148

x=32.

Answer:

A

Step-by-step explanation:

use the quadratic formula and you should end up with this

d=1/32 (33+[tex]\sqrt{1217}[/tex])=2.121

The domain is [0,2.121...].

x = -b / 2a = -3.3/(-3.2) = 1.031

max=1.902

so its A

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