What does x=
And what is the angle

Answer:

38.9°

Step-by-step explanation:

The three angles in a triangle add up to 180°. Also, a right triangle has a right angle in it. A right angle is 90°.

90° + 51.1° + x = 180°

141.1 + x = 180°

subtract 141.1°

x = 38.9°

Answer:

The correct answer is x=5

Answer:

77 "

Step-by-step explanation:

'mean' is the average of all of the heights

( 84 + 84  + 77 + 63 + 70 + 70  + x) / 7 = 75

  x = 77

Answer:

a= +1

b= -2

c= +7

Step-by-step explanation:

a= coefficient of xX^2 = +1

b= coefficient of X = -2

c = the constant term= +7

Answer:whichever # is closest to 0.6 round up to 1 or 60%

Step-by-step explanation:

Answer:

round your answer to 0.6

Step-by-step explanation:

for example 0.58 rounds up to 0.6

Answer:

x = 7

Step-by-step explanation:

using Pythagoras' identity in the right triangle.

the square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + 24² = 25²

x² + 576 = 625 ( subtract 576 from both sides )

x² = 49 ( take square root of both sides )

x = [tex]\sqrt{49}[/tex] = 7

Hey ! there

Answer:

Step-by-step explanation:

In this question we are provided with a right angle triangle having hypotenuse 25 cm , base 24 cm and perpendicular x . And we are asked to find the length of x .

For finding the length of x we'll use Pythagorean Theorem . Pythagorean Theorem states that sum of square of perpendicular and base is equal to the square of hypotenuse in right angle triangle that is ,

[tex] \: \qquad \: \qquad \: \underline{\boxed{ \frak{H {}^{2} = P {}^{2} + B {}^{2} }}}[/tex]

Where ,

SOLUTION : -

Here in the triangle ,

Applying Pythagorean Theorem :

[tex] \quad \longmapsto \qquad \: (25) {}^{2} = (x ){}^{2} + (24) {}^{2} [/tex]

On squaring 24 and 24 we get ,

[tex] \quad \longmapsto \qquad \:625 = (x) {}^{2} + 476[/tex]

Subtracting 576 on both sides :

[tex] \quad \longmapsto \qquad \:625 - 576 = (x) {}^{2} + \cancel{ 576} - \cancel{576}[/tex]

We get ,

[tex] \quad \longmapsto \qquad \:49 = (x) {}^{2} [/tex]

Applying square root on both sides :

[tex] \quad \longmapsto \qquad \: \sqrt{49} = \sqrt{(x) {}^{2} } [/tex]

We get ,

[tex] \quad \longmapsto \qquad \: \blue{ \underline{\boxed{\frak{7 \: cm = x}}}} \quad \bigstar[/tex]

Verifying : -

We are verifying our answer by substituting all the values of hypotenuse , perpendicular and base in Pythagorean Theorem . So ,

Therefore, our answer is correct .

Answer:

27 km²

Step-by-step explanation:

Surface Area :

Answer:

Total surface area = 27 km²

Step-by-step explanation:

The surface area of a square based pyramid comprises:

Area of a triangle = 1/2 × base × height

                             = 1/2 × 3 × 3

                             = 4.5 km²

Area of a square = (side length)²

                            = 3²

                            = 9 km²

Total surface area = 4 triangles + square base

                              = (4 × 4.5) + 9

                              = 18 + 9

                              = 27 km²

Answer:

D- 99 1/4 ; $992.50

Step-by-step explanation:

you use the list of bonds to eventually get D- 99 1/4

A common discrete distribution is used in statistics, as opposed to a continuous distribution is called a Binomial distribution. The probability that 5 out of a shipment of 30 will be defective is 0.001617.

A common discrete distribution is used in statistics, as opposed to a continuous distribution is called a Binomial distribution. It is given by the formula,

P(x) = ⁿCₓ pˣ q⁽ⁿ⁻ˣ⁾

Where,

x is the number of successes needed,

n is the number of trials or sample size,

p is the probability of a single success, and

q is the probability of a single failure.

The probability of the bulb being defective is 3%(0.03) and the probability of the bulb not being defective is 97%(0.97).

Now, it is needed to be found that the probability that 5 out of a shipment of 30 will be defective can be written as,

P(x) = ⁿCₓ pˣ q⁽ⁿ⁻ˣ⁾

P(x=5) = ³⁰C₅ (0.03)⁵ (0.97)²⁵

P(x=5) = 0.001617

Hence, the probability that 5 out of a shipment of 30 will be defective is 0.001617.

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Answer:

1st one 6x is greater than or equal to 120

Step-by-step explanation:

because it sys she needs to read 120 so it cant be 6x is less than or equal to 120

Answer:

40,000

Step-by-step explanation:

I took the test

There are 40,000 possible codes that start with the prime number could Genvieve create.

For the first digit, Genevieve wants to start with a prime number.

The prime numbers between 0 and 9 are 2, 3, 5, and 7.

So, there are 4 choices for the first digit.

For the remaining four digits, she can choose any number from 0 through 9, including the prime numbers.

Since there are 10 choices for each of the four remaining digits, the total number of possible codes for those digits is 10⁴.

To calculate the total number of possible codes that start with a prime number, we multiply the number of choices for the first digit (4) by the number of choices for the remaining four digits (10⁴):

4 × 10⁴ = 40,000

Therefore, the correct answer is A) 40,000.

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Answer:

[tex]\left(\displaystyle \sqrt[3]{x^{-\tfrac 35}}\right)^{\tfrac 58}[/tex]

Step-by-step explanation:

[tex]\left(\displaystyle \sqrt[3]{x^{-\tfrac 35}}\right)^{\tfrac 58}\\\\\\=\left[ \left(\displaystyle x^{-\tfrac 35} \right)^{\tfrac 13 \right]^{\tfrac 58}\\\\\\=\left( \displaystyle x^{-\tfrac 35}\right)^{\tfrac 5{24}}\\\\\\=x^{ \displaystyle -\tfrac{3}{24} \right}\\\\\\=x^{\displaystyle -\tfrac 18 }\\\\\\=\dfrac 1{x^{\tfrac 18}}[/tex]

Quadratic formula – is the method that is used most often for solving a quadratic equation. If you are using factoring or the quadratic formula, make sure that the equation is in standard form.

There are three basic methods for solving quadratic equations: factoring, using the quadratic formula, and completing the square.

Answer:

So we'll use trig to solve this because it's a right triangle. The hypotenuse is the ladder (h) and the two smaller sides are the ground and the vertical wall (w).

That angle ladder makes with the ground = €

SOH: sin € = opposite/hypotenuse

No the ladder won't be safe!!!

Now let's make it safe:

The ladder's length (w) is constant, so stays 12

So now let's ask in an inequality what height will be safe (75° or less)

what does that mean?? well as long as you put the ladder against the wall so that the height from ground to top of the ladder is < 11.6 ft!!

Answer:

1. ?

2. d

3. g

4. f

5. k

6. ?

7. j

8. l

9. h

10. b

11. ?

12.?

Step-by-step explanation:

it says f(-4).

so, x = -4.

into what function segment is this "falling" ?

well, into the x < 3 segment, right ? because -4 < 3.

so, we need to use

f(x) = x² - 5

f(-4) = (-4)² - 5 = 16 - 5 = 11

Answer:

D. 4

Step-by-step explanation:

x is greater than 3, which means x has to be a higher number. the only option here that is higher than 3 is 4.

Answer:

D

Step-by-step explanation:

the Awnser is D because x is greater than three and 4 is the only number listed that is larger than 3

Answer: A. Yes, because a difference in mean distances of 4.9 feet or more occurred only 6 out of 200 times, meaning the difference is statistically significant and there is convincing evidence the new golf ball travels farther than the original golf ball.

Step-by-step explanation: took the test (look at the graph as well)

Answer:

1: 22cm   2: 30m 3: 78.54

Step-by-step explanation:

1: (6x2)+(5x2)

     12+10

         22

2:  11+4=15

   15x2

      30

3:  25/2=12.5

      3.14x2=6.28

12.5x6.28=78.54

Answer:

hot potato

Step-by-step explanation:

17 wax cubes with volume of 27 cm³ each would be needed to make the candle with a volume of 452.16 cm³

An equation is an expression that shows the relationship between two or more numbers and variables.

Volume of cylinder = π * radius² * height

Volume = π * 4² * 9 cm = 452.16 cm³

Volume of the cube = 3 cm * 3 cm * 3 cm = 27 cm³

Number of cubes needed = 452.16 cm³ / 27 cm³ = 16.75

17 wax cubes with volume of 27 cm³ each would be needed to make the candle with a volume of 452.16 cm³

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Answer:

K^1= (-8,10)

L^1 = (-4,10)

m^1 =(-5,10)

Step-by-step explanation:

all you have to do is move the points 90 degrees counterclockwise, which then you would get the points above.

Total number of Counters = 48

Red Counters = 20

green counters = 48 - 20

⠀⠀⠀⠀⠀⠀⠀⠀⠀= 28 .

Ratio of Red counters to that the number of green counters = 20 : 28

= 20/28

[tex] = \huge \frac{20}{28} [/tex]

The ratio of the number of red counters to the number of green counters will be 5/7.

The utilization of two or more additional numbers that compares is known as the ratio.

A bag contains only red and green counters. A total bag contains 48 counters, of which 20 are red.

The number of green counters is calculated as,

⇒ 48 - 20

⇒ 28

The ratio of the number of red counters to the number of green counters is calculated as,

Ratio = 20 / 28

Ratio = 5/7

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the volume of the prism is simply the area of any of the sides times the length, so in this case the shaded area times 4.

[tex]\stackrel{area}{\left( 2\frac{1}{8} \right)}(\stackrel{length}{4})\implies \left( \cfrac{17}{8} \right)(4)\implies \cfrac{17}{2}\implies 8.5~units^3[/tex]

Answer: 8 1/2

Step-by-step explanation: Khan

Answer:

4th option

Step-by-step explanation:

using the addition formula for cosine

cos(a - b) = cosacosb + sinasinb

note that 15° = (45 - 30)° , then

cos15°

= cos(45 - 30)°

= cos45°cos30° + sin45°sin30°

= ( [tex]\frac{\sqrt{2} }{2}[/tex] × [tex]\frac{\sqrt{3} }{2}[/tex] ) + ( [tex]\frac{\sqrt{2} }{2}[/tex] × [tex]\frac{1}{2}[/tex] )

= [tex]\frac{\sqrt{6} }{4}[/tex] + [tex]\frac{\sqrt{2} }{4}[/tex]

= [tex]\frac{\sqrt{6}+\sqrt{2} }{4}[/tex]

= [tex]\frac{\sqrt{2}+\sqrt{6} }{4}[/tex]

Answer:

[tex]\cos 15^{\circ}= \dfrac{\sqrt{2}+\sqrt{6}}{4}[/tex]

Step-by-step explanation:

Trig Identity:

[tex]\cos (A-B)=\cos A \cos B + \sin A \sin B[/tex]

[tex]\begin{aligned}\implies \cos 15^{\circ}=\cos (45^{\circ}-30^{\circ}) & =\cos 45^{\circ} \cos 30^{\circ} + \sin 45^{\circ} \sin 30^{\circ}\\\\& = \dfrac{\sqrt{2}}{2} \cdot \dfrac{\sqrt{3}}{2} + \dfrac{\sqrt{2}}{2} \cdot \dfrac{1}{2}\\\\& = \dfrac{\sqrt{2}\sqrt{3}}{2 \cdot 2}+\dfrac{\sqrt{2} \cdot 1}{2 \cdot 2}\\\\& = \dfrac{\sqrt{2\cdot 3}}{4}+\dfrac{\sqrt{2}}{4}\\\\& = \dfrac{\sqrt{6}+\sqrt{2}}{4}\\\\& = \dfrac{\sqrt{2}+\sqrt{6}}{4}\end{aligned}[/tex]

Answer:

That's all

Step-by-step explanation:

1-We find 5% of 200

2-Cross multiply

3-add 5% of 200 to the original price

The three expressions that the given expression is equivalent to are, (5x^2-8)(5x^2+8), [tex]25x^4 + 40x - 40x - 64[/tex] and [tex]25x^4 + 13x - 13x - 64[/tex]

The standard expression for difference of two square is given as:

a^2- b^2 = (a-b)(a+b)

Given the equation

[tex]25x^4 -64[/tex]

This can also be expressed as:

[tex](5x^2)^2-8^2\\(5x^2-8)(5x^2+8)[/tex]

This expression is also equivalent to [tex]25x^4 + 40x - 40x - 64[/tex] and [tex]25x^4 + 13x - 13x - 64[/tex]

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