Please help me with this one

Answer: 8 inches

Step-by-step explanation:

In a 30-60-90 triangle, the ratio of the short side to the long side is 1/sqrt(3).

Therefore the short side is the long side divided by sqrt(3).

So the short side = 8 sqrt(3)/sqrt(3) = 8 inches

Answer:

first blank box:

cos^2(a)

second blank box:

sin^2(a)

see image.

Step-by-step explanation:

Usually, to "verify" you work on the equation using algebra and identities...BUT ONLY CHANGING ONE SIDE. Keep the other side the same and try to make them look the same.

The step to get what's in the first blank box is multiplying

(1-cos a)(1+cos a)

which will make a difference of two squares.

The second blank is using a pythagorean identity that

cos^2 + sin^2 = 1

so

1 - cos^2 = sin^2

see image.

Answer:

The answer is 1920 cm

Step-by-step explanation:

First we need to break up to two separate shapes. These shapes are both rectangles, one on the right and one on the left.

To find the volume of a Prism, the equation is V=lwh (length x width x height).

So by splitting up the shape we have two different equation

V= (10)(8)(14) =1120

V= (10)(8)(10)=800

Now we add 1120+800 to get the volume of the entire shape, which is 1920 cm.

Answer:

30 points

Step-by-step explanation:

Points by Jenna = J

=> J - 18 = 12

=> J = 30 points

Answer:

There were 140 tickets sold that cost $15 and 160 tickets sold that cost $20.

Step-by-step explanation:

To solve this problem, we should create a system of equations. Let's let the variable x represent the number of $15 tickets sold and let the variable y represent the number of $20 tickets sold. Using these variables, we can make the following equations:

x + y = 300

15x + 20y = 5300

To solve this equation, we can use substitution. Our first step in this case is solving the first equation for one variable; let's choose x.

x = 300 - y

Now, we can substitute this value for x into the second equation.

15(300-y) + 20y = 5300

Next we can distribute through the parentheses on the left side of the equation.

4500 - 15y + 20y = 5300

We can combine like terms on the left side of the equation to simplify.

4500 + 5y = 5300

We should then subtract 4500 from both sides of the equation.

5y = 800

Finally, we can divide both sides of the equation by 5.

y = 160

To solve for x, we can substitute this value for y into either of our original equations, but we should probably choose the first one for simplicity.

x + y = 300

x + 160 = 300

x = 140

Therefore, x = 140 and y = 160; this means that 140 $15 tickets were sold and 160 $20 tickets were sold.

Hope this helps!

Answer:

It is already in standard form

Step-by-step explanation:

Four hundred eighty-two and seventy-three thousandths. = 482.073

It is already in standard form

Hope this helps!

Hey there!

482.073 is expressed in

Standard Form

The standard form of 482.073 is 482.073. (four hundred eighty-two point zero seven three)

I hope you find my answer helpful.

Good luck!

Have a great day!

[tex]\bf{StargazingWithJoy}[/tex]

Answer:

13/28

Step-by-step explanation:

26/(26 + 30) = 26/56 = 13/28

Answer:

Step-by-step explanation:

[tex]tan \ 32 = \dfrac{opposite \ side}{adjacent side}\\\\\\0.6 = \dfrac{GF}{HF}\\\\0.6=\dfrac{11}{HF}\\\\\\0.6*HF = 11\\\\HF = \dfrac{11}{0.6}[/tex]

HF = 18.3

[tex]Sin \ 32 =\dfrac{opposite \ side}{hypotenuse}\\\\\\0.5=\dfrac{GF}{GH}\\\\\\0.5=\dfrac{11}{GH}\\\\\\0.5*GH=11\\\\GH=\dfrac{11}{0.5}\\\\\\GH = 22[/tex]

∠G = 180 - (90 +32)

     = 180 - 122

    = 58°

Formula for area of a triangle is 1/2 x base x height.

musing the information given you have:

360 = 1/2 x base x 18

First multiply both sides by 2:

720 = base x 18

Now divide both sides by 18:

Base = 720/18

Base = 40 cm

Solution:

Note that:

Using the formula to find the area:

The price the school district pays for each typewriter is $106.56.

A quantity discount is the discount given for bulk purchases. It reduces the purchase price of a good or service.

Total purchase price of the typewriters before the discount = (50 x 129.95) = 6,497.50

Total purchase price of the typewriters after the discount = (100 - 18) x 6,497.50

= $5,327.95

Purchase price of one typewriter = $5,327.95 / 50 = $106.56

To learn more about how to calculate discounts, please check: https://brainly.com/question/26061308

Answer:

the price of each adult ticket is $43

Step-by-step explanation:

Let's say the price for 1 adult ticket is x and the price for 1 child ticket is y

3y = 18.5 and 3y + 2x = 104.50

2x + 18.5 = 104.50

2x = 104.5 - 18.50

2x = 86

x = [tex]\frac{86}{2}[/tex]

x = 43

So the price for 1 adult ticket is $43

Answer:

Let's say the price for 1 adult ticket is x and price for 1 child ticket is y

3y = 18.5 and 3y + 2x = 104.5

<=> 2x + 18.5 = 104.5

<=> 2x = 104.5 - 18.5

<=> 2x = 86

<=> x = 86 / 2

<=> x = 43

So the price for 1 adult ticket is $43

Answer:

44 48

Step-by-step explanation:

The number of friends that can go ice skating is 5.

The total amount spent = cost of the group ticket + total cost of the hot chocolate + total cost of renting the skates

$38.75 = $10 + $4x + $1.75x

Where x represents the total number of friends.

In order to determine the total number of friends, take the following steps:

Combine similar terms

$38.75 - $10 = $4x + $1.75x

Add similar terms

$28.75 = $5.75x

Divide both sides of the equation by 3.75

x = 5

To learn more about division, please check: https://brainly.com/question/13281206

Step-by-step explanation:

= -15x²-24x-35x-56

= -15x²-59x-56

Answer:

2x(57x74)94

Step-by-step explanation:

Answer:

[tex]\sf\blue{triangle \: \: is \: \: congruent \: \: } \\

\sf\huge{by \: \: S.A.S \: axiom \: \: }[/tex]

Answer:

Refer to the attachment for the labelling of the triangles.

In △ABD & △ACD,

AD = AD (common side)

∠A = ∠A (common angle)

AB = AC (equal pair of sides)

•°• △ABD ≅ △ACD (Single-Angle-Side congruence rule → SAS congruence rule)

Hope it helps ⚜

Answer:

slope is -1, y-intercept is -1

Step-by-step explanation:

x+y=-1

convert to slope-intercept form

y=-x-1

y=-1x-1

slope is -1, y-intercept is -1

Solution:

Let's convert the equation into slope-intercept form.

In this equation, the slope is the coefficient of x.

The following points can be made:

The y-intercept of the equation will be a constant.

The following points can be made:

In conclusion...

Answer:

52d+24433 is the correct answer

Answer:

24433+52d

Step-by-step explanation:

Simplify by adding

Answer:

1.17219

Step-by-step explanation:

sin(23)=x/3

3 x sin(23)

Answer:

  $21,623.70

Step-by-step explanation:

A suitable financial calculator can compute the beginning balance and the remaining balance for you. The attachments show a TI-Nspire calculator's TVM solver app being used to answer this question.

The first attachment shows the computation of the loan value. It is about $37,624.54.

The second attachment shows the computation of the remaining balance after 16 of the 32 semi-annual payments have been made.

The loan balance 8 years from the end of the loan will be about $21,623.70.

Step-by-step explanation:

so, she spent 25-16.39 = $8.61 on the ribbon.

1 yard of the ribbon costs $0.21.

how many yards did she buy with that amount of money ?

well, as many times as 0.21 fits into 8.61 :

8.61 / 0.21 = 41

so, she bought 41 yards of ribbon.

I'm happy to help you today!

Answer:

41 yards is correct

Step-by-step explanation:

Step 1. The information we have is:

Originally Jane had $25 on her debit card.

She made a purchase of bulk ribbon for 21 cents per yard.

And after that she ended up with $16.39 on the card.

Step 2. Make an equation to describe the situation.

The equation that describes this situation is:

[tex]\tt 25-0.21y=16.39[/tex]

Where 25 is the initial amount and to that, we subtract 0.21y, where y is the number of yards that she bought of ribbon. And all of this has to be equal to the final amount of 16.39.

Step 3. Solve the equation for y:

To solve for y, we subtract 25 to both sides of the equation:

⇒ [tex]\tt-0.21y=16.39-25[/tex]

⇒ [tex]\tt -0.21y=-8.61[/tex]

Then, divide both sides of the equation by -0.21:

[tex]\tt y=\frac{-8.61}{-0.21}[/tex]

The result is:

[tex]\tt y=41[/tex]

The answer is 41 yards of ribbon.

[tex]-Nature-[/tex]

Answer:

2018, 2004

Step-by-step explanation:

substitute C(t) for 1274 because it's the cost

1274=6(t-11)^2+980

6(t-11)^2=294

(t-11)^2=49

x-11=7 x-11=-7

x=18, x=4

Answer:

2018, and 2004.

Step-by-step explanation:

do the math "using Your heads".

Answer:

the answer is =118000

Step-by-step explanation:

$107,000+5,000+6,000=118000                                                                                   Its simple

Answer:

it would be 18.6 inches because the diaganol across a screen is more than the width by a little bit

Your father will require 14.6 cups of sugar for the larger group

From the question, we have that 2.5 cups of sugar can be used to make recipes for 6 people that is;

6 people = 2.5 cups of sugar

In order to calculate for 35 people, we will have;

35 people  = x

Taking the ratio of the expressions

6/35 = 2.5/x

6x = 87.5

x = 87.5/6

x = 14.6

Hence your father will require 14.6 cups of sugar for the larger group

Learn more on ratio and proportions here: https://brainly.com/question/19994681

Answer:

1; 4; 3;

Step-by-step explanation:

i think this involves ratios>> if not, sorry-