Instructions: Find the lengths of the other two sides of the isosceles right triangle below.

Answer:

a = 20; b = 10sqrt(3)

Step-by-step explanation:

The ratio of the lengths of the sides of a 30-60-90 triangle is

1 : sqrt(3) : 2

b = 10 * sqrt(3)

b = 10sqrt(3)

a = 2(10)

a = 20

Answer: a = 20; b = 10sqrt(3)

Answer:

a=20,[tex]b=10\sqrt{3}[/tex]

Step-by-step explanation:

SOH-CAH-TOA

Tan = O/A

Tan(60)= b/10

[tex]b=10\sqrt{3}[/tex]

Cos = A/H

cos(60) = 10/a

a=20

Answer:

A) 2 cm

Step-by-step explanation:

By definition, regular polygons have equal sides and angles. Therefore, each side of the regular hexagon must be equal. Since one side is marked as 2 cm, the length of PQ must also be 2 cm.

Answer:

y = 3x + 3

Step-by-step explanation:

As x increases, y increases by 3. Therefore, the slope of the function is 3.

Setting x = 0 will give an output of 3. Therefore, the y-intercept is (0, 3).

Overall, the function rule for the given data set is y = 3x + 3.

Answer:

slope = 3

Step-by-step explanation:

Take a look at the grid, when the x = 0, y = -2, so it means you have a function with form y = a•x - 2

Now, look at the grid lime when x = 2, at this point, y = 4. If the function doesn't had -2, y in x = 2 would be 4 + 2 = 6

Which number you multiply 2 to have 6? Number 3, so this is the slope, and the function is y = 3x -2

Answer:

3

Step-by-step explanation:

Start at the y-intercept

Slope is rise (up/down) over run (move to the right/left)

First you rise 3

And you run 1

3/1 is 3 thus 3

Answer:

40% of 2500=

100

40

×2500

=1000

Step-by-step explanation:

Write the calculation exactly as you say it:

Answer:

Option 4. All real numbers greater than or equal to 2.

I hope this will help.

Answer:

-114

Step-by-step explanation:

f(x) = -4x^2 +5x

Let x = 6

f(6) = -4(6)^2 +5(6)

     = -4(36) +30

     - 144+30

   = -114

Answer: x = 74.3

Step-by-step explanation:

Let 22 be reference angle

so

tan 22 = p/b

tan 22 = 30/x

or, x= 30/tan22

so, x = 74.252

so, x = 74.3

Answer:

selling prices =10% 10+150+15%=180

Answer:

Step-by-step explanation:

To make this easier we are going to make a table and fill it in with the pertinent information. That's the first step; the second one is figuring out how to use the information in the table to come to some sort of a viable and reasonable (and hopefully correct) answer. The table will look like this:

                     d        =        r        *        t

Car 1

Car 2

What we know first off is that the time in question, the IMPORTANT time is 9 hours. That they left at the same time doesn't give us any numbers to put into our table or any useful information. We are looking at what happens at 9 hours. So that's what goes into the t column:

                    d        =        r        *        t

Car 1                                                   9

Car 2                                                  9

What we are then told is that after this 9 hours they are a certain distance apart. We'll come back to that. One car is traveling 10 km/h slower than the other, but since we don't know what the rate of the other car is either, they are both unknown. And it just so happens that this the information we are asked to solve for.

                  d        =         r        *       t

Car 1                                r        *       9

Car 2                           r - 10     *       9

Now, since d = rt, we multiply the rate times the time and fill in the distance each has gone in 9 hours:

               d        =        r        *        t

Car 1       9r       =        r        *       9

Car 2   9r - 90  =     r - 10     *       9

The distance between these 2 cars after that 9 hours is 910 km, therefore:

distance that car 1 traveled + distance that car 2 traveled = 910 km:

9r + 9r - 90 = 910 and

18r - 90 = 910 and

18r = 1000 so

r = 55.56 km/hr

and the other car is going 10 km/hr slower at 45.56 km/hr

Answer:

36: G-30

37: Please add the rest of the questions, so I can answer 37.

Step-by-step explanation:

Answer:

ES LA NUME  C                                        R

Step-by-step explanation:

Answer:

B. $28

Step-by-step explanation:

Find the sales tax by finding 4% of 711:

711(0.04)

= 28.44

This is closest to 28.

So, the correct answer is B. $28

Answer:

\begin{bmatrix}\mathrm{Solution:}\:&\:x\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}

\begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)=1\:\\ \:\mathrm{Interval\:Notation:}&\:f\left(x\right)=1\end{bmatrix}

Step-by-step explanation:

Answer:

Shorter leg is 7

Bigger leg is 7√3 = 12.1 (rounded to the nearest tenth)

Answer:

60

Step-by-step explanation:

Since the angles are shown equal in the diagram, ABD=DBC=60

Answer:

0, 5, 10, 15, 20

0, 5, 40, 405, 5,120

Step-by-step explanation:

One rule can be "add 5 to the previous term to get the next term."

0, 5, 10, 15, 20

Second rule:

For each term number 1, 2, 3, ..., n,

each term = 5(n - 1)^n

0, 5, 40, 405, 5,120

The next three terms for the rule Tn = a + (n-1)d will be 10,15 and 20

The next three terms for rule 5(n-1)ⁿ will be 40, 405 and 5120.

Sequences are numbers arranged in a specific pattern.

Given the sequence 0, 5...

This sequence can be an arithmetic sequence with nth term expressed as:

a is the first term = 0

n is the number of terms

d is the common difference = 5 - 0  5

If n = 3

T3 = 0 + (3-1)*5

T3 = 2 * 5

T3 = 10

If n = 4

T4 = 0 + (4-1)*5

T4 = 3 * 5

T4 = 15

If n = 5

T5 = 0 + (5-1)*5

T5 = 4 * 5

T5 = 20

Hence the next three terms for the rule will be 10,15 and 20

Also, we can also use the recursive rule f(n) = 5(n-1)ⁿ

If n = 3

f(3) = 5(3-1)³

f(3) = 5(2)³

f(3) = 5 * 8

f(3) = 40

If n = 4

f(4) = 5(4-1)⁴

f(4) = 5(3)⁴

f(4) = 5 * 81

f(4) = 405

If n = 5

f(5) = 5(5-1)⁵

f(5) = 5(4)⁵

f(5) = 5 * 81

f(5) = 1024 * 5

f(5) = 5120

Hence the next three terms for the rule will be 40, 405, and 5120.

Learn more here: https://brainly.com/question/16151695

Answer:

the first difference are all 20.

since the first differences of this relation are constant, it is a linear relation

Answer:

Linear because the account balance increases by a constant 20.

Step-by-step explanation:

→ The first difference is 20 for all values because :

20 - 0 = 20

40 - 20 = 20

60 - 40 = 20

80 - 60 = 20

100 - 80 = 20

Answer:

The answer is D

Step-by-step explanation:

use the quadratic formula, plug and chug, and voila!

Answer:

(C.

I THINK-

Step-by-step explanation:

Answer:

3 a + 4 b

Step-by-step explanation:

Biểu thức đại số biểu thị bạn Cúc mua  3  ly trà sữa và  4  ly kem là:

3 a + 4 b

Answer:

8.6023

Step-by-step explanation:

length = √[(x2-x1)^2+(y2-y1)^2]

=√[(1-6)^2+(-1--8)^2] =√74 =8.6023

Answer:

(0.5,3)

Hope this helps..Have a good day!!

The height of the given triangle is 3.7 yds. Therefore option A is the correct answer.

We need to find the height of the given triangle.

The formula to find the area of the triangle is Area=√s(s-a)(s-b)(s-c).

Where s is the semiperimeter, a,b and c are sides of the triangle.

Now, s=6+10+14/2=15 yds

Area of a triangle=√15(15-6)(15-10)(15-14)=25.9

Area of triangle=1/2×14×h=25.9 square yds

⇒h=3.7 yds

Therefore, the height of the given triangle is 3.7 yds.

To learn more about the area of a triangle visit:

https://brainly.com/question/27701864.

#SPJ5

the answer of this question is (-2,2)

Answer: 21

Step-by-step explanation:

Step-by-step explanation:

tbh I have no idea

doing this for points

so yeah

Some additional context would be helpful in providing a complete answer. But the basic idea is this:

• Object ABC has a price X set on it.

• Hey, ABC is on sale! Let's say there's a 20% discount. That means 20% of the price X is subtracted from X.

• Boo, there's a 15% sales tax! This means whatever you would pay for ABC, discount included, you will ultimately have to pay an additional 15% of, or 0.15 times, that amount in tax.

Suppose you're looking to buy a T-shirt. The price tag on says it costs $25, but there's a 20% discount and a 15% sales tax.

• The discount has a value of 0.2 ($25) = $5. Subtract this from the original price, and its discounted price is $20.

• The sales tax is applied to this discounted price, and comes out to 0.15 ($20) = $3. This gets added to the discounted price, so you end up paying $23.