Consider the right triangle below. Solve for x. Label the sides in the image as opposite, adjacent, or hypotenuse, then show your work on the sketchpad.

Answer: 4.15

Step-by-step explanation:

Answer: The answer is 27.04 square inches.

Explanation: The area of a square can be calculated by multiplying the length of a side by the length of a side.

Answer:

27.04 in^2

Step-by-step explanation:

hope this helps! :)

Answer: He saved $12 per week

Step-by-step explanation:

I am confused you basically solved your own question but here is the explanation.

Isaiah gets $12 per week in his allowance, every two weeks he gets $24, so in twenty weeks he would have save $240. Here is an equation.

2W*10 = $240

W = weeks

2 weeks = $24*10 = $240

I hope this helps in anyway

Answer:

The walkway is 14ft and 3in

Step-by-step explanation:

Answer: I think it is -7 and +7

Step-by-step explanation:

the change rate between the data points gives us the print rate.

so,

(f(x2) - f(x1)) / (x2 - x1)

starting with x1 = 10 and x2 = 15 we see

(133 - 98) / (15 - 10) = 35/5 = 7

that means he is printing 7 pages per minute.

we see that we have the same difference (35 prints) for every following 5-minute interval.

so, that is the confirmed print rate.

and yes, the amount is increasing, of course.

after 10 minutes he has 98 flyers but we know he could have printed only 7×10 = 70 flyers in that time.

so, he started with 98-70 = 28 flyers before actually printing new ones.

In the "1s" place,

1₅ + 3₅ = 4₅

In the "5s" place,

2₅ + 4₅ = (6)₅ = (5 + 1)₅ = 10₅ + 1₅ = 11₅

In the "25s" place, we carry the leading 1 from the "5s" place,

3₅ + 3₅ + 1₅ = (7)₅ = (5 + 2)₅ = 10₅ + 2₅ = 12₅

In the "125s" place, we carry over the 1 again,

4₅ + 1₅ = (5)₅ = (5 + 0)₅ = 10₅ + 0₅ = 10₅

Putting everything together,

4321₅ + 343₅ = 10214₅

Answer: [tex]\frac{17}3}[/tex] or 17:3

Step-by-step explanation:

Since Lydia got 17 out of 20 questions correct, that means she got 3 out of 20 incorrect. To get the ratio of correct (17) to incorrect (3) answers, we can simply divide the two numbers as follows:

[tex]\frac{17}3}[/tex] or 17:3

Since this ratio is already in simplest terms, this is the final answer.

Answer:

Length of the shadow = 20.5 cm

Step-by-step explanation:

Given the 32-meter height of a tall building, and its casted shadow of 38 meters, we can find the unknown length of the shadow by using the Pythagorean Theorem.

The Pythagorean Theorem states that the squared length of the hypotenuse of a right triangle is equal to the sum of the squared lengths of the legs.

The algebraic representation of the Pythagorean Theorem is:  

                     c² (hypotenuse) = a² (leg₁) + b² (leg₂)

To solve for the given problem:

Let c = 38 m (distance from the top of the building to the tip of the shadow)

a = unknown length of the shadow

b = 32m (height of the building)

Since we have to solve for the value of a (unknown length of the shadow), we must algebraically solve for a:

c² = a² + b²

Subtract b² from both sides:

c² - b² = a²  + b² - b²

a² = c² - b²

Substitute the given values into the formula for solving a :

a² = c² - b²

a² = (38)² - (32)²

a² = 1444 - 1024

a² = 1444 - 1024

Next, take the square root of both sides to solve for a:

[tex]\displaystyle\mathsf{\sqrt{(a)^2}\:=\:\sqrt{420}}[/tex]

a = 20.49 or 20.5 cm

Therefore, the length of the shadow is 20.5 cm.

Answer:

They used 4 buses and 4 cars

Step-by-step explanation:

136/30= 4.5 (which means we can full 4 buses)

If we fill 4 buses : 4x30=120

We have 4 vehicles left and 16 students left too.

4x4= 16

We can fit every studens in the cars.

I estimate about 27 cm

have a nice dayyyy

Answer:

its d

2.52x

3.40

____

0.00+

1.080+

7.5600

______.

8.658

Answer:

D. 8.568

Step-by-step explanation:

A quick tip is ignore the decimal points and just multiply, (which they already did for you) then add the decimal how many ever points forward the two multiples are combined.

So for 8568, since you have 2 . 52 3 . 4 you take it 3 points forward to right between the 8 and 5 for 8.568....

Also, just a word of advice, 4*4 is 16 so the answer couldn't be higher than 16, so A and C are wrong. B is actually switching the 6 and 5 so it's also wrong leaving only D

Answer:

Y = 56X + 20.50

Step-by-step explanation:

y=mx+c

Assuming that the y intercept is an additional numeral constantly given in a linear function. and the slope represented by the main wage of the job while concluding that it's the slope since it implies rate of change.

hope it's correct

Answer:

see explanation

Step-by-step explanation:

Given a parabola in standard form

f(x) = ax² + bx + c ( a ≠ 0 )

Then the discriminant Δ = b² - 4ac informs us about the nature of the zeros

• If b² - 4ac > 0 then 2 real and irrational zeros

• If b² - 4ac > 0 and a perfect square then 2 real and rational zeros

• If b² - 4ac = 0 then 2 real and equal zeros

• b² - 4ac < 0 then zeros are not real

Given

f(x) = 3(x - 4)² - 12 ← expand factor using FOIL

     = 3(x² - 8x + 16) - 12 ← distribute parenthesis by 3

     = 3x² - 24x + 48 - 12

     = 3x² - 24x + 36 ← in standard form

with a = 3, b = - 24 , c = 36 , then

b² - 4ac

= (- 24)² - (4 × 3 × 36

= 576 - 432      

= 144 ← a perfect square

Then 2 zeros are real and rational  and produce 2 x- intercepts

Answer:

5x-2x-x = 10 9z • 7p = 378

Step-by-step explanation:

With equations like these you're basically just plugging numbers in where there are variables. so if you have 5x-2x-x when x=5, you just plug in 5 wherever x is. 5x-2x-x turns into (5•5)-(2•5)-(1•5). you multiply the expressions in the parentheses to get 25-10-5 and then you simply subtract.

1. 5x-2x-x

2. (5•5)-(2•5)-(1•5)

3. 25-10-5

4. 10

We can do the same thing with your second example. 9z•7p when z=2 and p=3. When there is a z, you plug in a 2. When there is a p, you plug in a 3.

1. 9z•7p

2. (9•2) • (7•3)

3. 18 • 21

4. 378

hope this helps :)

Answer:

Ankita is 135cm tall and Nita is 150cm tall- to find what percent of Nita's height Ankita represents you would divide ankita's height by Nita's height then multiply the answer by 100%

135cm/150cm = 0.9 (the centimetres cancel out and leaves a generic unit) then 0.9 x 100% = 90%

so Ankita is 90% of the height of Nita

Step-by-step explanation:

Answer:

I  think that would be 1/5

Explanation:

Hope this helps!

Answer:

y=2

x=16

k=difference is x and y

so k=16-2

k= 14

Answer:

These results, 7 and 9, have a product of 63, as stated.

Step-by-step explanation:

Represent the first odd number by x and the first consecutive odd number by x + 2.  Then the product of these two numbers is x(x + 2) and it equals 63.

Solve for x.  Perform the indicated multiplication, obtaining

x^2 + 2x - 63 = 0

Solve this by factoring:  (x + 9)(x - 7) = 0

Then x could be either -9 or +7.  If we let x = 7 then the first consecutive odd number is 7 + 2, or 9.  These results, 7 and 9, have a product of 63, as stated.

Answer:

47.25

Step-by-step explanation:

Heres how I found the answer:

if sales tax is 5%, then we need to find 5% of 45 and add it to 45!

5% of 45= 2.25

(I found this by doing 45*5%, or 45*.05)

Now, add 2.25 to 45!

Total bill=47.25 dollars

Hope I could help!

Answer:

y = 5x + 6

Step-by-step explanation:

lmk if you want an explanation

First rearrange

5x-8y=-29

5x+29=8y

5/8x+29/8=y

Then sub in your x values

Step-by-step explanation:

5x-8y=-29

5(6)-8(5)

30-40

=-10

no

5(-9)-8(-2)

=-45+16

=-29

yes

5(-3)-8(1)

-15-8

=-23

no

5(0)-8(-4)

=0+32

=32

no

Answer:

195 square centimeters per second

Step-by-step explanation:

Area growth rate = (9*10) cm^2 per s + (7*15) cm^2 per s = 195 square centimeters per second

Answer:

it would be solved by it mom

Answer:

Andrea has 83 cherries in stock at the end of the day.

Step-by-step explanation:

starts with 20 cherries

sold 17 cherries

3 cherries remain

get 4 times as many she starts with 20×4= 80

80 + the 3 that remained

Answer:

tan x = 3/4

Step-by-step explanation:

The hypotenuse of the triangle is 10 ft.

For angle x, the opposite leg is 6 ft, and the adjacent leg is 8 ft.

tan A = opp/adj

tan x = 6 ft / 8 ft

tan x = 3/4