A hockey player takes a shot with a 15 degree angle of elevation 24 ft away from the goal and hits the cross bar. How tall is the goal. Round to the nearest tenth.

Answer:

C. 2(2x + 3)(2x - 3)

Step-by-step explanation:

[tex]8 {x}^{2} - 18 \\ = 2 \times 4 {x}^{2} - 2 \times 9 \\ = 2(4 {x}^{2} - 9) \\ = 2 \{( {2x})^{2} - ( {3)}^{2} \} \\ = 2(2x + 3)(2x - 3) \\ [/tex]

Final answer:

The expression 8x² - 18 is factored by first taking out the common factor of 2, and then applying the difference of squares formula to get the fully factored form, 2(2x + 3)(2x - 3). Option C is accurate.

Explanation:

To factor the expression 8x² - 18, we need to first take out the common factor. Here, we can see that both terms are multiples of 2. Thus, we can factor out a 2, which gives us:

2(4x² - 9)

Now, we recognize that the expression inside the parentheses is a difference of squares because 4x² is (2x)² and 9 is 32. A difference of squares can be factored into:

(a² - b²) = (a + b)(a - b)

Applying this to our expression, we get:

2((2x) + 3)((2x) - 3)

Hence, the fully factored form of the expression 8x² - 18 is:

2(2x + 3)(2x - 3) (Option C)

Answer:

2/3

Step-by-step explanation:

Calculators help :)

To divide 2 1/2 by 3 3/4, convert the mixed numbers to improper fractions, change division to multiplication of the inverse, multiply, and simplify the result to 2/3.

To divide and simplify the expression 2 1/2 divided by 3 3/4, we begin by converting the mixed numbers into improper fractions. The mixed number 2 1/2 becomes 5/2 (2 times 2 + 1), and 3 3/4 becomes 15/4 (3 times 4 + 3).

Next, we use the rule for dividing fractions: invert the second fraction and change the division to multiplication. Therefore, the division becomes 5/2 times 4/15. We can now multiply the numerators together and the denominators together, resulting in 20/30.

To simplify, we can reduce the fraction by dividing both the numerator and the denominator by the greatest common factor, which is 10. Simplifying gives us 2/3, the final answer.

Answer: adjacent and hypotenuse

Step-by-step explanation: Cos theta is adjacent/Hypotenuse

Final answer:

Inverse cosine is used to find an angle measure when we know the length of the adjacent side and the hypotenuse in a right triangle.

Explanation:

The inverse cosine function, also known as arccosine, is used to find a given angle measure when we know the length of the side adjacent to the angle and the length of the hypotenuse of a right triangle. The cosine of an angle in a right triangle is defined as the ratio of the length of the adjacent side to the length of the hypotenuse. By using the inverse cosine function, we can find the angle whose cosine is the given ratio. This is particularly useful in trigonometry for solving right triangles or when dealing with any scenario where angle and side lengths are related through the cosine ratio.

In mathematical terms, if we have a right triangle with an angle labeled as θ (theta), and we know the lengths of the side adjacent to θ (adjacent) and the hypotenuse (hypotenuse), the cosine of θ is given by-

cos(θ) = adjacent / hypotenuse

To find the angle measure θ based on the ratio of these two sides, we would compute-

θ = arc cos(adjacent / hypotenuse).

Answer:

34

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

this has one answer and that would be 270 degrees.

look at the attached picture⤴

Hope it will help u...

Final answer:

To express the square root of 24 in simplest radical form, we break down 24 into 4 and 6, and since 4 is a perfect square, the simplified expression is 2√6.

Explanation:

To find the expression equal to the square root of 24, we can simplify the square root by looking for perfect square factors within 24. The number 24 can be factored into 4 and 6, where 4 is a perfect square. Therefore, we have:

As a result, the simplified expression equal to the square root of 24 is 2√6.

Answer:

the answer should be 2.5

To find the lateral area of the given rectangular pyramid, calculate the perimeter of the base, determine the slant height using the Pythagorean theorem, and then apply the lateral area formula. The lateral area is approximately 45.4 cm².

To find the lateral area of a regular rectangular pyramid with base edge length 2.5 cm and height 9 cm, follow these steps:

Thus, the lateral area of the pyramid is approximately 45.4 cm².

Answer:

It is gonna be B not very sure

Answer:

b.60

Step-by-step explanation:

Answer:

A) resturant is at (-4,5)

A)the equation is: [tex](x-0)^2+(y-0)^2=6^2[/tex]

B) Consuela can get free delivery

Step-by-step explanation:

see picture

Answer:

the answer is -1/3

Step-by-step explanation:

here is your step by step solution

Answer:

[tex]- \frac{1}{3} [/tex]

Step-by-step explanation:

The product of the gradients of perpendicular lines is -1.

Let the slope of the line perpendicular to line C be x.

(slope of Line C)(x)= -1

x= -1 ÷ (slope of Line C)

Let's find the slope of line C using the gradient formula.

[tex]gradient = \frac{y1 - y2}{x1 - x2} [/tex]

Gradient of Line C

[tex] = \frac{ - 6 - ( - 12)}{ - 3 - ( - 1)} \\ = \frac{ - 6 + 12}{ - 3 + 1} \\ = \frac{-6}{ - 2} \\ = 3[/tex]

Thus substituting gradient of Line C= 3,

x= -1÷ (3)

x= [tex]- \frac{1}{3} [/tex]

Answer:

The answer is the last choice, x=70 and the labeled angles are 110 and 70

Answer:

30

Step-by-step explanation:

40- 10 equals 30

the range is the maximum divided by the minimum.

Answer:

See below

Step-by-step explanation:

1-0+0-2+1=0, so since 0/11=0, it's divisible by 11

The rule for divisibility by 11 is that you subtract then add then subtract then add and so on, and if you get a number divisible by 11 or equal to 0, then it's divisible by 11.

Hope that made sense.

Answer:

=911 i think that its only dividable and you have to use your mind to do it

answer it is 911

If discriminate is less than zero, the quadratic will have no real solution.

Answer: B

Answer:

-25

Step-by-step explanation:

(-4 + 5n) × 3= 7n - 212

-12 + 15n = 7n - 212

8n = -200

n = -25

Answer:

The number is -25

Step-by-step explanation:

(-4 +5n)*3 = 7n-212

Distribute

-12 +15n = 7n -212

Subtract 7n from each side

-12 +15n-7n = 7n-7n -212

-12 +8n = -212

Add 12 to each side

-12+12 +8n = -212+12

8n = -200

Divide each side by 8

8n/8 = -200 /8

n =-25

Answer:

8 crickets

Step-by-step explanation:

since 20% is in percent form, if you convert it to a whole number, it is 2. That means that Brad's lizard ate 2 crickets and there are 8 left.

Answer:

325

Step-by-step explanation:

Answer:

the outlier is 20 and 24

Step-by-step explanation: An outlier, in mathematics, statistics and information technology, is a specific data point that falls outside the range of probability for a data set. In this Case 20 and 24 are outliers because they are not in the range of 58, 59, 63, 63, 65, 66. :) your welcome.

Answer:

Step-by-step explanation:

3ft x 5 ft x 6 ft

15 x 6 = 90 cubic feet

Step-by-step explanation:

To get the volume, you have to do LxWxH so its 3x5x6=90

so its 90 cubic feet.

Answer:

Drink=5.75

Popcorn=1.83

Percentage for drink=75.9%

Step-by-step explanation

Let the popcorn be p

the drinks be d

6p+4d=34....(1)

12p+7d=66.25...(2)

Multiply (1) by 2

12p+8d=72....(3)

Substrate (2) from (3)

d=5.75

Substitute the value for d into (1)

6p+4(5.75)=34

6p+23=34

Substrate 23 from both sides

6p=11

Divide both sides by 6

p=1.83

So for one drink=$5.75

For one popcorn=$1.83

To determine the% for drink

5.75+1.83=7.58

5.75/7.58 ×100

575/7.58

75.858~75.9%

The percentage for drink is 75.9%

Answer:

x=10

Step-by-step explanation:

8x+30=110

8x+30-30=110-30

8x=80

8x/8=80/8

x=10

hope this helps

please mark me brainliest it would help(✿◠‿◠)

Answer:

10 =8

Step-by-step explanation:

The two angles are vertical angles and we know that vertical angles are equal

110 = 8x +30

Subtract 30 from each side

110-30 = 8x+30-30

80 = 8x

Divide each side by 8

80/8 = 8x/8

10 =8

Answer:

c. 720 cm

Step-by-step explanation:

Answer:

both are one

Answer:

det = 1 and det = 1

Step-by-step explanation:

just took the lesson on ed-genuity, these are both right :)

Answer: 2.8 kilograms

Step-by-step explanation: To find the how much food Dale's dog eats in a week, multiply 0.4*7. 0.4*7=2.8.

Answer:

D

Step-by-step explanation:

Answer:

The answer is D: a and f

Step-by-step explanation:

Just did on edge :)

Answer:

14

Step-by-step explanation:

You fins the measure of angle C, and get 180-(118+22) = 40 degrees

You use law of sines, and get:

24/(sin40) = AC/(sin22)

Multiply both sides by sin(22)

24sin(22)/sin(40)=AC

Plug into a calculator, and get: 13.9868256738, which rounds to 14

Answer:

b. $9000

Step-by-step explanation:

Quick way of doing this:

10% is one-tenth. 10% of $180,000 is $18,000.

5% is half of 10%, so it's half of $18,000.

Answer: b. $9000

Conventional way of doing this:

To find a percent of a number, multiply the percent by the number. To change the percent to a decimal, move the decimal point of the percent two places left.

5% of $180,000 = 5% * $180,000 = 0.05 * $180,000 = $9,000

Answer: c. $9000

Mrs. Henderson's commission for selling a house worth $180,000 is $9000.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, Mrs. Henderson sells houses. She gets a 5% commission on all sales.

∴ His commission for selling a house worth $180,000 is 5% of  $180,000 which is,

=(5/100)×180000.

= $9000.

learn more about percentages here :

https://brainly.com/question/24159063

#SPJ2

Answer:

no

Step-by-step explanation:

communitive propery unless there are (  )

If it is only multiplication, no it does not, but you should always go from left to right.