Find the area of an equilateral triangle that has a perimeter of 24 units.

Answer:

[tex]\sin A=\frac{12}{37},\\\\\cos A=\frac{35}{37},\\\\\tan A=\frac{12}{35}[/tex]

Step-by-step explanation:

In a right triangle only, the sine of an angle is equal to the angle's opposite side divided by the hypotenuse of the triangle. (o/h)

The cosine of the angle is equal to the angle's adjacent side divided by the hypotenuse of the triangle. (a/h)

The tangent of the angle is equal to angle's opposite side divided by the adjacent side. (o/a)

In this case, angle A's opposite side is 12, its adjacent side is 35, and the hypotenuse is 37 (o=12, a=35, h=37).

Thus we have:

[tex]\sin A=\frac{12}{37},\\\\\cos A=\frac{35}{37},\\\\\tan A=\frac{12}{35}[/tex]

Answer:

Step-by-step explanation:

sin A=opposite/hypotenuse=12/37

cos A=adjacent/hypotenuse=35/37

tan A=opposite/adjacent=12/35

Answer:

a) 24

b) 10

c) 12/13

d) 5/13

e) 12/5

Step-by-step explanation:

a) We can see that the leg opposite <C is AB, and we are given AB = 24

b) We can see the leg adjacent to <C is AC, and we are given that AC = 10

c) The trig function sine is equal to

[tex]\frac{opposite}{hypotenuse}[/tex]

The opposite, AB, is 24, and the hypotenuse, BC, is 26. We can plug those numbers in:

[tex]sin(c) = \frac{24}{26} = \frac{12}{13}[/tex]

d)The trig function cosine is equal to

[tex]\frac{adjacent}{hypotenuse}[/tex]

The adjacent, AC, is 10, and the hypotenuse, BC, is 26. We can plug those numbers in:

[tex]cos(c) = \frac{10}{26} = \frac{5}{13}[/tex]

d)The trig function tangent is equal to

[tex]\frac{opposite}{adjacent}[/tex]

The opposite, AB, is 24, and the adjacent, AC, is 10. We can plug those numbers in:

[tex]tan(c) = \frac{24}{10} = \frac{12}{5}[/tex]

The value of B is =31 .

the value of b is 31

Answer:

big brain

Step-by-step explanation:

Answer:

The answer its A:

Step-by-step explanation:

I hope its correct.

Answer:

L=923.6 cm2 ; S =1231.5 cm2

Explanation:

L=2πR

L=14π

2πR=14π

R=14π/2π=7 - the radius

h=3R=3*7=21 -the height

S(l)=2πRh=Lh=14π*21=294π≈923,6 - the lateral area

S(s)=2πR²+Lh=2π*7²+294π=2π*49+294π=98π+294π=

     =392π≈1231,5 -the surface area

I think the right question, should be like this,

= 2x² + 13x + 9/x + 7

So, the quotient is 2x - 1 and the remainder is 16, you can find answer there in attachment.

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P.S- Sorry for messing writing.

Answer:

The interquartile range (IQR) for Democratic electoral votes, 186.5, is very nearly equal to the IQR for Republican votes, 185.5.

Step-by-step explanation:

The correct statement is; The interquartile range (IQR) for Democratic electoral votes, 186.5, is very nearly equal to the IQR for Republican votes, 185.5.

IQR(interquartile range)  is the difference between third and first quartile.

[tex]IQR = Q_3 -Q_1[/tex]

The lower quartile, also called first quartile has approx 25% in its left partition, and on its right lies approx 75% of the data.

The third quartile (also called upper quartile)  has approx 75% in its left partition, and on its right lies approx 25% of the data.

From the given plots, we have:

Republican

[tex]IQR = Q_3 -Q_1[/tex]

IQR = 356 - 170.5

IQR = 185.5

Democratic

[tex]IQR = Q_3 -Q_1[/tex]

IQR = 367.5 - 181

IQR = 186.5

Hence, The interquartile range (IQR) for Democratic electoral votes, 186.5, is very nearly equal to the IQR for Republican votes, 185.5.

Learn more about quartiles here:

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Answer:

the answer I think your looking for is C

Answer: it’s C

Step-by-step explanation:

Answer:

[tex]\sqrt{11}[/tex] is between 3 & 4

Step-by-step explanation:

Answer:

area of the semicircle=

diameter²=9²+21.6²

=81+466.56

diameter² =547.56

diameter=√547.56

=23.4

radius of the semicircle=diameter/2=23.4/2

=11.7

area of the semicircle=1/2πr²

=1/2×3.14×11.7²

=214.9173m²

area of the triangle=1/2×9×21.6

=97.2m²

area of the shaded region=214.9173m²-97.2m²

=117.7173m²

round it as possible

Answer: C. 314 cm2

Step-by-step explanation:

The equation for the area of a circle is: pi * radius squared. First, 10 squared is 100. 100 times 3.14 is 314.

Answer:

c

Step-by-step explanation:

Answer:

It could be =15 or =0

Step-by-step explanation:Multiplying each side of −3x+4y=20

by 2 gives −6x+8y=40

. Adding each side of −6x + 8y = 40 to the corresponding side of 6x+3y=15

gives 11y=55,ory=5

. Finally, substituting 5 for y in 6x+3y=15

gives 6x+3(5)=15,orx=0

.

Answer:

x-3y=15 has a y-intercept of -5

Step-by-step explanation:

A y-intercept occurs when x = 0. So, when x = 0, which function has a y-value of -5?

Plug in 0 for all the values of x and solve for y.

1. 2(0)+y=-10; y=-10

2. (0)-y=-5; y = 5

3. (0)-3y=15; y = -5

4. -(0)+4y=20; y= 5

Answer:

B option is correct Answer. Thanks

Answer: 5 and 7.

Step-by-step explanation: I’m sorry I don’t know what kind of equation to do but I’ll show how I got the answer if that’s what you mean.

First I made a list of numbers that when multiplied equal 35

Then I went through the list and took out all the options that were not one number being 2 more than the other.

The only option left is 5 x 7 (5*7)

what kind of equation do you want? Like 5*7 = 35 and 5 + 2 = 7?

The numbers are 5 and 7.

A mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.

let the first number be 'x'

another number = x+2

According to question,

x(x+2)= 35

x²+2x-35=0

x²+7x-5x-35=0

x(x+7)-5(x+7)=0

(x-5)(x+7)=0

x= +5, -7

Hence, the numbers are 5 (x) and 7 (x+2).

Learn more about equation here:

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Answer:

don't see a question but there 12 units

Step-by-step explanation:

Answer:

add it then it will be easy than downloading

Answer:

{-3, -2, -1}

Step-by-step explanation:

Answer:

.81 Repeating Decimal

Step-by-step explanation:

I think

Answer:

0.81

Step-by-step explanation:

18 divide by 22 is 0.81

Answer:

(a⁴+b⁴)(a²+b²)

Step-by-step explanation:

in the pictures

Answer:

QR = 82.38 to nearest hundredth.

Step-by-step explanation:

As they are similar corresponding sides are in the same ratio.

So MN / QR = LM / QR

13/51 = 21/ QR

`3QR = 51*21

QR = 51*21/13

QR = 82.38

Answer:

[tex]A\simeq3399.41[/tex]

Step-by-step explanation:

The amount formula in compound interest is:

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

where:

P = principal amount

r = annual interest

n = number of compounding periods

t = number of years

We already know that:

P = $3000

[tex]r = 6.25\% = \frac{6.25\%}{100\%}=0.0625[/tex]

t = 2

n = 365

Then,

[tex]A=3000(1+\frac{0.0625}{365} )^{(365)(2)}\\\\A=3000(1+\frac{0.0625}{365} )^{730}\\\\A=3399.408982\\\\A\simeq3399.41[/tex]

Answer:

20

Step-by-step explanation:

In an academic contest correct answers earn 12 points and incorrect answers lose 5 points. In the final round school A starts with 165 points and gives the same number of correct and incorrect answered. School B starts with 65 points and gives no incorrect answers and the same number of correct answers as school A. How many answers did each school get in the final round?

Let x = number correct answers

because school a , gives the same correct and wrong answers, their equation can be represented as :

165 - 5x + 12x =

165 + 7x

School b gives no wrong answer. their equation can be represented as

65 + 12x

to fing the number of correct answers given, equate the two equations

165 + 7x = 65 + 12x

collect like terms

165 - 65 = 12x - 7x

100 = 5x

x = 20

Answer:

b)  (x + 12)

Step-by-step explanation:

x² + 10x - 24

factors of 24 are: 1x24, 2x12, 3x8, 4x6

the pair I would select would be 2 and 12 as they could result in 10

(x + 12)(x - 2) = 0

Answer:

[tex]y^{'} = 15x^{4} +8x^{3} -2.[/tex]

Step-by-step explanation:

[tex]y=3x^{5} +2x^{4} -2x;\\y^{'} = ({3x^{5}^}) {'} +({2x^{4}}) {'} - ({2x}) {'}; \\y^{'} = 3*5x^{5-1} +2*4x^{4-1} -2*1x^{1-1} ;\\\\ y^{'} = 15x^{4} +8x^{3} -2.[/tex]