Which of the following terms have a GCF of ? Select two options

Option a:

sin A for the triangle is [tex]\frac{3}{5}[/tex].

Solution:

The given triangle is a right triangle.

The adjacent side to angle A is AC.

The opposite side to angle A is BC.

Hypotenuse is AB.

AC = 8, BC = 6 and AB = 10.

Using trigonometric ratio formulas,

[tex]$\sin \theta=\frac{\text { Opposite side }}{\text { Hypotenuse }}[/tex]

[tex]$\sin A=\frac{BC}{AB}[/tex]

[tex]$\sin A=\frac{6}{10}[/tex]

Divide both numerator and denominator by 2, we get

[tex]$\sin A=\frac{6\div2}{10\div 2}[/tex]

[tex]$\sin A=\frac{3}{5}[/tex]

Hence sin A for the triangle is [tex]\frac{3}{5}[/tex].

Option a is the correct answer.

Answer:

100.530964915 or 32π

Step-by-step explanation:

Area=πr^2

A=π8^2

A=π(64)

A=~201.062

divide by 2

answer is 100.530964915, not sure how you should round, but 100.5 is probably correct, or the full answer.

edit: i see that there is a pi symbol that u can use in ur answer, the correct answer would be 32π

please mark brainliest if correct, you get points for marking an answer as brainliest :)

Answer:

[tex] y \: = \binom{ + }{ - } 8x[/tex]

Step-by-step explanation:

Working is shown in the picture.

Answer:

72

Step-by-step explanation:

You have to do 3 x 2 x 12 = 72

i’m not sure but i think the function might be 75 + 8.50x=y

Answer:

10

Step-by-step explanation:

-2k= -k-10

Add k to other side:

-2k+k=-k+k-10

-k=-10

Add + to other side which will leave you with:

k=10

Answer:

k=10

Step-by-step explanation:

If you do

-2k=-k-10

-2       -2

-------------

-4k-12

----- ------

-4    -4

k=10

I think it is wrong sorry if it is

Answer:

b = 5

Step-by-step explanation:

Proof: 5^-1 = 1/5 | 5^0 = 1 | 5^1 = 5

Answer:

1) C

Step-by-step explanation:

1) 2x + 4 < 5x + 3

3x > 1

x > ⅓

Answer: 0.18

Step-by-step explanation:

18 hundredths means that if you divide something into one hundred equal parts, 18 hundredths is 18 of those parts that you just divided up. Since 18 hundredths is 18 over one hundred, 18 hundredths as a Fraction is 18/100. If you divide 18 by one hundred you get 18 hundredths as a decimal which is 0.18.

Answer:

.18

Step-by-step explanation:

I am a g at math ,if you search how to write eigteen hundredths as a decimal it will say the same answer

The measure of ∠1 is 95°

Solution:

Given a || b.

m∠6 = 85° and m∠3 = 2x°

∠6 and ∠3 are co-interior angles.

Co-interior angles add up to 180°.

⇒ m∠6 + m∠3 = 180°

⇒ 85° + 2x° = 180°

Subtract 85° from both sides.

⇒ 2x° = 95°

⇒ m∠3 = 95°

If two lines cut each other, then vertically opposite angles are congruent.

⇒ m∠1 = m∠3

⇒ m∠1 = 95°

Hence the measure of ∠1 is 95°.

Answer:

Your question isn't clear

Step-by-step explanation:

Answer:

question is not clear

Step-by-step explanation:

Answer:

x+2 1/8 = 7 2/3

Step-by-step explanation:

You write it the way it is said.

Answer: 75 boys

Step-by-step explanation: Our first step in this problem is to write down the unit ratio that is involved. In this case, it's boys/girls.

Next, we set up our proportion.

We know that there are 5 boys for every 6 girls.

So we have 5/6 and we're asked how many boys are at the dance if 90 girls are at the dance.

So we have [tex]\frac{5}{6} = \frac{x}{90}[/tex].

Notice that the 99 girls must go on the bottom of the second ratio because our unit ratio tells us that we put boys/girls.

Solving from here, we use the means-extremes property.

The product of the extremes,

(90)(5) equals the product of the means, (6)(x).

So we have (90)(5) or 450 equals (6)(x) or 6x.

So we have 450 = 6x and dividing both sides by 6, 75 = x.

So 75 boys are at the winter dance.

-12x + 5x

-7x

Hope this helps! ;)

Answer:

-7x

Step-by-step explanation:

If you add 5 to the -12, you get -7. All you have to do is put an x next to your answer.

Answer:

x = [tex]\sqrt{13}[/tex]

Step-by-step explanation:

The line from the vertex to the base is a perpendicular bisector and divides the triangle into 2 right triangles.

Consider the right triangle on the left with base 2

Using Pythagoras' identity

The square on the hypotenuse (x) is equal to the sum of the squares on the other 2 sides, that is

x² = 2² + 3² = 4 + 9 = 13 ( take the square root of both sides )

x = [tex]\sqrt{13}[/tex]

Answer:

Option 4

Step-by-step explanation:

sqrt(3² + 2²)

sqrt(9+4)

sqrt(13)

Answer: He would have $1.33 after 3 years glad to help please mark brainliest!

Step-by-step explanation:

using simple interest formula: A = P(1 + r)^t

A= Total amount in 3 years

P=starting total

r=rate of percent as a decimal

t=time in years

A=1(1+0.10)^3

A=1(1+0.10)^3

A=1(1.10)^3

A=1(1.331)

A=1.331

A=1.33

Answer:$1.33

Step-by-step explanation: I did the math myself and i would say yes the person above is correct you should give him brainliest...

I believe its A

Step-by-step explanation:you should upload picture

Answer:

n = -6

Step-by-step explanation:

Step 1:  Divide both sides by 4

4n / 4 = -24 / 4

n = -6

Answer:  n = -6

Answer:

bec we aree

Step-by-step explanation:

Answer:

1- After leaving C, I would travel to Buford.

2- After leaving Buford you can travel to either Athens or Dacula. Both rides cost the same so it doesn't matter which one you pick. I chose Athens.

3- The third city will be whichever option you didn't choose. For example because I chose Athens, I now have to travel to Dacula.

4- The total cost of the trip is $185

Step-by-step explanation:

I took the CR quiz and got a 100% I hope this helps :)

Answer:

70 days

Step-by-step explanation:

we  know that

A fort had provisions for 175 men for 70 days.

After 10 days a fort had provisions for 175 men for (70-10)=60 days

but

25 men left the fort

so

The remaining men are 175-25=150 men

Let

x ----> how long the provision will last

we know that

The equation that represent this problem is an inverse variation

[tex]175(60)=150(x)[/tex]

as the number of men decreases the number of days increases

solve for x

[tex]x=175(60)/150=70\ days[/tex]

using proportion

[tex]\frac{175}{60}=\frac{150}{x}\\\\x=150(60)/175\\\\x=70\ days[/tex]

Answer: 79=8h +22

Step-by-step explanation: 79 total needed 8h equals 8 times her hourly earning plus 22 what she already haves should equal 79.

Final answer:

To find Moesha's hourly earnings for babysitting, we subtract the amount she already has ($22) from the total needed ($79) to calculate the amount she needs to earn ($57), and divide this by the number of hours she will babysit (8). This gives us the equation 8h = $57, which we solve by dividing both sides by 8, leading us to find that Moesha earns $7.125 per hour.

Explanation:

Moesha needs $79 for a class trip and already has $22. She will earn the remaining amount by babysitting for 8 hours. If we use h to represent Moesha's hourly earnings, we need to set up an equation that when solved, will find her hourly earnings. The total amount Moesha needs to earn from babysitting is $79 - $22, which equals $57. Since she is babysitting for 8 hours, we divide the total amount she needs to earn by the number of hours she will work: $57 ÷ 8 hours.

Putting this into an equation, we come up with 8h = $57. To find her hourly earnings, h, we divide both sides of the equation by 8, giving us h = $7.125 per hour. Therefore, Moesha will earn $7.125 for each hour of babysitting she does.

Answer:

(2, -5)

Step-by-step explanation:

Point slope form:  (y - y1) = m(x - x1)

(x1, y1) is the point

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

Since it is y + 5, the y value is -5

Since it is x - 2, the x value is 2

(2, -5)

Answer:  (2, -5)

Answer:

4x + 12

Step-by-step explanation:

(x+3)×4

(x×4) + (3×4)

4x + 12

Answer:

4x + 12

Step-by-step explanation:

(x+3)×4

(x×4) + (3×4)

4x + 12

Answer:

A number line going from 50 to 60. A solid circle is at 54. Everything to the right of the circle is shaded.

Step-by-step explanation:

we have the inequality

[tex]11\leq y-43[/tex]

solve for y

Adds 43 both sides

[tex]11+43\leq y[/tex]

[tex]54\leq y[/tex]

Rewrite

[tex]y\geq 54[/tex]

In a number line the solution is the shaded area at right of y=54 (closed circle)

therefore

A number line going from 50 to 60. A solid circle is at 54. Everything to the right of the circle is shaded.

Answer:

x = 5

Step-by-step explanation:

Step 1:  Set y to 5 and z to 3

7x - 5(5) - 2(3) = 4

7x - 25 - 6 = 4

7x - 31 = 4

Step 2:  Add 31 to both sides

7x - 31 + 31 = 4 + 31

7x = 35

Step 3:  Divide both sides by 7

7x / 7 = 35 / 7

x = 5

Answer: x = 5

Answer: 30

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

A

Given

(x² + 3)² + 21 = 10x² + 30 ← factor out 10 from each term on the right side

(x² + 3)² + 21 = 10(x² + 3) ← subtract 10(x² + 3) from both sides

(x² + 3)² - 10(x² + 3) + 21 = 0

Substituting u = x² + 3 into the equation gives

u² - 10u + 21 = 0 → D

---------------------------------------------

B

Using u² - 10u + 21 = 0 to solve the equation

Consider the factors of the constant term (+ 21) which sum to give the coefficient of the u- term (- 10)

The factors are - 3 and - 7, since

- 3 × - 7 = 21 and - 3 - 7 = - 10, thus

(u - 3)(u - 7) = 0

Equate each factor to zero and solve for u

u - 3 = 0 ⇒ u = 3

u - 7 = 0 ⇒ u = 7

We now have to use the substitution to convert the solutions into terms of x, that is

x² + 3 = 3 ( subtract 3 from both sides )

x² = 0 ⇒ x = 0 → D

x² + 3 = 7 ( subtract 3 from both sides )

x² = 4 ( take the square root of both sides )

x = ± [tex]\sqrt{4}[/tex] = ± 2

Thus x = - 2 → C

x = 2 → E

Answer:

rectangle

Step-by-step explanation:

Answer:

Rectangle

Step-by-step explanation: