Find the value of x in the diagram. ΔABC ~ ΔDEF

Answer:

side 1=5x^2+103x+40

side2=5x^3-43+100

side 3=A {let}

we have

perimeter of triangle=side 1+ side2 +side3

5x^4+5x^3+5x^2+50x+100=5x^2+103x+40+5x^3-

43+100+A

A=5x⁴+5x³+5x²+50x+100-5x³-5x²-103x-97

A=5x⁴-53x+3 is your answer

Answer:

63in

Step-by-step explanation:

Answer:

The area of the shade is 12 feet

Step-by-step explanation:

To find the area you would do 6 * 4 which equals 24 but with every triangle you have to cut the area in half so the actual answer would be 12 feet

Answer:

8

Step-by-step explanation:

12-4=8

Answer:

12-4=8

8 more students

hope this helps

have a good day :)

Step-by-step explanation:

Ans: 10+7n

Step-by-step explanation: there you go

Answer:

d=7; equation=17+(n-1)7

Step-by-step explanation:

I dont know what your question is but it goes up by 7

Answer:

45%

Step-by-step explanation:

Step-by-step explanation:

It's asking you what the probablitiy of a red car is.

Since this looks like a test/homework, I'll give some hints.

Let's say that SUV's and car's are x.

Out of x, 60 percent is cars.

Let's call the amount of cars we have y.

Out of y amount car's, 15 percent is red.

It's asking that if you randomely chose a car, what the probability would be if you got a non-red car.

Of course, this problem only needs one variable, but for the sake of simplicity, I added 2.

Hope this helps!

Answer:

1.575 × 10^6 gallons

Step-by-step explanation:

1.25 × 10^6 = 1.25 × 1,000,000 = 1,250,000 gals.

Dolphin tank = 325,000 gals.

total vol. = 1,250,000 + 325,000 = 1,575,000 gals.

scientific notation = 1.575 × 10^6 gallons

Answer:

$647.25

Step-by-step explanation:

Twenty-five percent off the regular $800 price comes to 0.75($800), or $600 (after the discount).

Calculating the 7.875% sales tax and adding it in, we find that the final price to be paid is (1 + .07875)($600), or $647.25.

Answer:

The coins probability is 1/2 while the dice probability is 1/6

Step-by-step explanation:

The coin only has 2 sides so you split it into halves

The dice has 6 sides so you split it into sixths

Answer:

[tex]8b\sqrt{2ab}[/tex]

Step-by-step explanation:

Rewrite 128a[tex]b^{3}[/tex] as [tex](8b)^{2}[/tex] ⋅ (2ab).

Factor 64 out of 128.

[tex]\sqrt{64 (2)ab^{3} }[/tex]

Rewrite 64 as [tex]8^{2}[/tex] .

[tex]\sqrt{8^{2} . 2ab^{3}[/tex]

Factor out [tex]b^{2}[/tex].

[tex]\sqrt{8^{2} . 2a (b^{2}b)[/tex]

Move a.

[tex]\sqrt{8^{2} . 2b^{2}ab[/tex]

Move 2.

[tex]\sqrt{8^2b^2 . 2ab}[/tex]

Rewrite [tex]8^{2} b^{2}[/tex] as [tex](8b)^{2}[/tex].

[tex]\sqrt{(8b)^2 . 2 (ab)}[/tex]

Add parentheses.

[tex]\sqrt{(8b)^2 . (2ab)}[/tex]

Pull terms out from under the radical.

[tex]8b\sqrt{2ab}[/tex]

Answer:

Step-by-step explanation:

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

the side "?" is the Adjacent side (Adj)  and we are given the angle and the Hypontenuse ( long side) (Hyp)  of this triangle

so use CAH

cos(75) =  Adj / 8

algebra to solve for the Adj side (which is the "?" for this problem )

8*cos(75) = Adj

2.07055 = Adj

so the "?" is  2.1 ft ( rounded to the nearest 10th )

Answer:

Step-by-step explanation:

the balloon starts at  (10, 0 )

it ends at  16,0)

in the middle it's at between 10 and 16 , so say about 13, where it reaches 27

so in the middle it's (13,27)

so  ( 11, 9)

(12, 18)

got 13

(14, 18)

(15, 9)

got 16

:P

Answer:

(22+17x)

Step-by-step explanation:

combine like terms

Answer:

2/13

Step-by-step explanation:

Answer:

2/13

Step-by-step explanation:

Answer:

y = 5

Step-by-step explanation:

cross-multiply:

6y = 30

y = 5

-4 degrees fahrenheit

Answer:

ok so the answer would be h

Step-by-step explanation:

so basically the ratio is 4:2 -1:2 so purple is 2 and orange is 4. meaning purple is half of the orange. that ratio stays the same. if you were to multiply puplr by 60 you get 120. and if you multiply 4 by 60 you get 240. which 240 divided by 120 is 2 meaning h is the right answer choice.

The correct observation is Spinner 1 would land on orange the same number of times that Spinner 2 would land on purple.

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

Given:

Total times spined = 60

Spinner 1 land on orange out 60 times

= 4/20 x 60

= 1/5 x 60

= 12

Spinner 2 land on Purple out 60 times

= 2/10 x 60

= 1/5 x 60

= 12

Hence, Spinner 1 would land on orange the same number of times that Spinner 2 would land on purple.

Learn more about Fraction here:

https://brainly.com/question/10354322

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Answer:

[tex]6\:\text{cups}[/tex]

Step-by-step explanation:

Since the proportion is maintained, we can set up the following proportion:

[tex]\frac{2/3}{1}=\frac{x}{9}[/tex], where [tex]x[/tex] is the amount of glitter, in cups, Mindy will use to make 9 cups of glittery paint.

Cross-multiply to get:

[tex]1x=9\cdot \frac{2}{3},\\x=9\cdot \frac{2}{3}=\boxed{6\:\text{cups}}[/tex]

Answer:

x = 3.2

Step-by-step explanation:

Apply pythagorean theorem, c² = a² + b²

Where,

c is the hypotenuse/longest side = √(10² - 9²) ≈ 4.4

a = x

b = 3

Substitute

4.4² = x² + 3²

19.36 = x² + 9

x² = 19.36 - 9

x² = 10.36

x = √10.36

x = 3.2 (nearest tenth)

We can use a scientific calculator or look up the sine of 25 degrees in a table of trigonometric values. The answer would be approximately 2.13 cm.

A right angle triangle is a triangle in which one of the angles is equal to 90 degrees. In other words, it is a triangle in which one angle is a "right angle." Right angle triangles are commonly used in geometry and trigonometry, and they play a crucial role in many real-world applications, such as surveying, construction, and navigation.

In a right triangle, the length of one side can be found using the sine function. The sine of an angle in a right triangle is defined as the ratio of the length of the opposite side to the length of the hypotenuse. In this case, the angle MNO is 25 degrees, so we can write the following equation to find the length of side MN:

MN = NO * sin(25°) = 4 cm * sin(25°)

To find the numerical value of MN, we can use a scientific calculator or look up the sine of 25 degrees in a table of trigonometric values. The answer would be approximately 2.13 cm.

To know more about hypotenuse visit:

https://brainly.com/question/29548827

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Answer:C and D

Step-by-step explanation:

Answer:

Step-by-step explanation:

The answer is 1 and 3

Answer:

Each student will raise $60.32

Step-by-step explanation:

682.56-200.000 = 482.56

482.56/8 = $60.32

Answer:

no

Step-by-step explanation:

Answer:

50 mL

Step-by-step explanation:

The quantity of juice in the juice box = 500 mL

The juice box label says contains 10% real fruit juice.

Quantity of real fruit juice are in eduardo's juice box will be :

[tex]A=10\%\ of\ 500\\\\=\dfrac{10}{100}\times500\\\\=50\ mL[/tex]

So, 50 mL of real fruit juice is in eduardo's juice box.

Answer:

B. 7 hours

Step-by-step explanation:

The formula for time (in this scenario) is t = d/s.

t - time

d - distance

s - speed

For this problem, d - 385 mi and s - 55 mph. To find the time this trip took, you would solve 385/55=7. In the end, Kelly drove for 7 hrs. Hope this helps!!