Answer:
The porch is 7.35 feet off the ground
Step-by-step explanation:
Trigonometric Ratios
The ramp, the height of the porch, and the distance from the base of both form a right triangle where trigonometric ratios can be applied.
The angle of 20° has the height of the porch H as the opposite side, and the hypotenuse is the length of the ramp.
The sine is defined as:
[tex]\displaystyle \sin\theta=\frac{\text{opposite leg}}{\text{hypotenuse}}[/tex]
For our problem:
[tex]\displaystyle \sin 20^\circ=\frac{H}{21.5}[/tex]
Solving for H:
[tex]H=21.5\cdot \sin 20^\circ[/tex]
Find the sine of 20° by using a calculator:
[tex]H=21.5\cdot 0.342[/tex]
H=7.35 feet
The porch is 7.35 feet off the ground
is prime or composite?
Answer:
Is wut prime or composite
Step-by-step explanation:
Answer:
What do you mean? Did you forget to add a picture or something? Please reply to my comment if so, and I'll tell you the answer.
Do you want to know what a prime or composite number is? If so, a prime number is a number that has no factors except for itself and 1. A factor is what you multiply by a number to get another number. A composite number has factors other than itself and 1.
What is 56(cos(33°) + i sin(33°)) ÷ 7(cos(11°) + i sin(11°))?
8(cos(3°) + i sin(3°))
49(cos(3°) + i sin(3°))
8(cos(22°) + i sin(22°))
49(cos(22°) + i sin(22°))
C. <3
pls give brainlyist
[tex]56(cos(33^{\circ}) + i sin(33^{\circ})) \div 7(cos(11^{\circ}) + i sin(11^{\circ}))\\\\=8(cos(22^{\circ}) + i~ sin(22^{\circ}))[/tex]
What is complex number?"The number of the form a + ib, where a, b are real numbers and [tex]i=\sqrt{-1}[/tex]"
What is De Moivre's theorem?"This theorem gives a formula for computing powers of complex numbers.
[tex](r(cos\theta+i~sin\theta))^n=r^n~(cos(n\theta)+i~sin(n\theta))[/tex] "
For given question,
We need to divide two complex numbers.
[tex]56(cos(33^{\circ}) + i sin(33^{\circ})) \div 7(cos(11^{\circ}) + i sin(11^{\circ}))[/tex]
Consider,
[tex]56(cos(33^{\circ}) + i~ sin(33^{\circ})) \div 7(cos(11^{\circ}) + i ~sin(11^{\circ}))\\\\=8[(cos(33^{\circ}) + i~ sin(33^{\circ})) \div (cos(11^{\circ}) + i ~sin(11^{\circ}))][/tex] ...........(i)
Consider the first complex number.
[tex](cos(33^{\circ}) + i sin(33^{\circ}))[/tex]
We can write this complex number as,
[tex]cos(3(11^{\circ}) )+ i sin(3(11^{\circ}))[/tex]
By De Moivre's theorem,
[tex]cos(3(11^{\circ}) )+ i~ sin(3(11^{\circ}))\\\\=(cos(11^{\circ})+ i~ sin(11^{\circ}))^3[/tex]
Substitute this value in (i),
[tex]56(cos(33^{\circ}) + i~ sin(33^{\circ})) \div 7(cos(11^{\circ}) + i ~sin(11^{\circ}))\\\\=8[(cos(33^{\circ}) + i~ sin(33^{\circ})) \div (cos(11^{\circ}) + i ~sin(11^{\circ}))]\\\\=8[(cos(11^{\circ}) + i~ sin(11^{\circ}))^3 \div 7(cos(11^{\circ}) + i~ sin(11^{\circ}))]\\\\=8[(cos(11^{\circ}) + i~ sin(11^{\circ}))^2]\\\\=8[(cos(2\times 11^{\circ}) + i~ sin(2\times 11^{\circ}))]~~~~~~~~~.............(De~Moivre's~theorem )\\\\=8(cos(22^{\circ}) + i~ sin(22^{\circ}))[/tex]
Therefore, [tex]56(cos(33^{\circ}) + i sin(33^{\circ})) \div 7(cos(11^{\circ}) + i sin(11^{\circ}))[/tex] is [tex]8(cos(22^{\circ}) + i~ sin(22^{\circ}))[/tex]
Learn more about the De Moivre's theorem here:
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What is the solution to the system of equations graphed below
(2,-3)
(-3,2)
(-2,3)
(3,-2)
Answer: The answer will be (2,-3) it’s 2 to the right and 3 down.
Step-by-step explanation: yay
What is meant by the term observed frequencies (O)?
a. The frequencies found in the population
b. The frequencies that are hypothesized for the population being examined
c. The frequencies calculated from the null hypothesis
d. The frequencies found in the sample
Answer:
The term observed frequencies are found in the sample.Hence, option 'd' is correct.
Step-by-step explanation:
Unlike the expected frequency which is obtained based on prediction, the observed frequency is the actual frequency that is determined from the experiment.
Therefore, we conclude that
The term observed frequencies are found in the sample.Hence, option 'd' is correct.
please solve ill give you brainliest
Answer:
Step-by-step explanation:
What is the distance between points (9,-7) and (9,4) on a coordinate plane
Answer:
11
Step-by-step explanation:
-7 to 4 is 11 Hoped that helped
Which statement BEST describes how muscles respond to weight training? A. Weight training stretches the muscles' limits and makes the muscles longer. B. Weight training pushes the muscles' abilities, making the muscles gain endurance. C. Weight training stimulates the muscles and causes the muscle fibers to sit closer together. D. Weight training overloads muscles, which causes the body to respond by making muscle fibers larger. Please select the best answer from the choices provided. A B C D
Answer:B
Step-by-step explanation:
The statement that best describes how muscles respond to weight training is:
Weight training overloads muscles, which causes the body to respond by making muscle fibers larger.
Option D is the correct answer.
What is weight training?Weight training, also known as resistance training, involves performing exercises that place a load or resistance on the muscles.
This load creates small tears or damage to the muscle fibers, which the body then repairs and adapts to by making the muscle fibers larger and stronger.
We have,
Option A:
Weight training stretches the muscles' limits and makes the muscles longer, which is not an accurate description of how muscles respond to weight training.
While stretching exercises can increase muscle flexibility, weight training typically does not cause the muscles to become longer.
Option B
Weight training pushes the muscles' abilities, making the muscles gain endurance, which is partially true.
Weight training can increase muscle endurance by strengthening the muscles, but the primary response of the muscles to weight training is hypertrophy, not increased endurance.
Option C:
Weight training stimulates the muscles and causes the muscle fibers to sit closer together, which is not an accurate description of how muscles respond to weight training.
While weight training does stimulate the muscles, it does not cause the muscle fibers to sit closer together.
Thus,
Weight training overloads muscles, which causes the body to respond by making muscle fibers larger.
Learn more about weight training here:
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Is -11 an irrational number ? If it isn’t list some irrational numbers ?
Answer:
-11 is not a irrational number
the square root of 2, 3, 5, 10 are all irrational numbers
Answer: no it is not an irrational number irrational numbers are numbers like 3.141526535 aka pi
Step-by-step explanation:
how many grams in 1.7x 10^7 ug
Answer:
17 grams
Step-by-step explanation:
What is an equation of the line that passes through the points (6, -7)(6,−7) and (-6, 3)(−6,3)? Put your answer in fully reduced form.
Given:
A line passes through the points (6,-7) and (-6,3).
To find:
The equation of line.
Solution:
If a line passes through two points [tex](x_1,y_1)\text{ and }(x_2,y_2)[/tex], then the equation of line is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
The line passes through the points (6,-7) and (-6,3). So, the equation of line is
[tex]y-(-7)=\dfrac{3-(-7)}{-6-6}(x-6)[/tex]
[tex]y+7=\dfrac{3+7}{-12}(x-6)[/tex]
[tex]y+7=\dfrac{10}{-12}(x-6)[/tex]
[tex]y+7=-\dfrac{5}{6}(x-6)[/tex]
Using distributive property, we get
[tex]y+7=-\dfrac{5}{6}(x)-\dfrac{5}{6}(-6)[/tex]
[tex]y+7=-\dfrac{5}{6}x+5[/tex]
Subtract 7 from both sides.
[tex]y=-\dfrac{5}{6}x+5-7[/tex]
[tex]y=-\dfrac{5}{6}x-2[/tex]
Therefore, the equation of line is [tex]y=-\dfrac{5}{6}x-2[/tex].
Solve the equation. 2 + |t+ 6| = 12
Answer:
t = 4 or t = -16
Step-by-step explanation:
Let's solve your equation step-by-step.
2+|t+6|=12
|t+6|+2=12
Step 1: Add -2 to both sides.
|t+6|+2+−2=12+−2
|t+6|=10
Step 2: Solve Absolute Value.
|t+6|=10
We know eithert+6=10 or t+6=−10
t+6=10(Possibility 1)
t+6−6=10−6(Subtract 6 from both sides)
t=4
t+6=−10(Possibility 2)
t+6−6=−10−6(Subtract 6 from both sides)
t=−16
What is the value of a + 4b / a + b if a = -4, b = 3
Answer:- 8
Step-by-step explanation:
-4 + 4(3)/ -4+3
-4 +12 / -1
8/-1
If there are 8 slices of bread and one cup of milk how much milk is in each bread
Answer:
1/8 cup of milk in each slice of Bread
Step-by-step explanation:
Hope This Helps :)Is this a function please help I’m failing
Answer:
Yes
Step-by-step explanation:
This relation is a function. Functions must have unique x-values for every y-value, this relation meets those requirements. Also, since this is a graph you can use the vertical line test. To pass the vertical line test you must be able to draw a vertical line on the graph and have it intersect with the function in no more than one place.
Multiplying a number by 2 two and then dividing by 3 is the same as multiplying by what number?
Answer:
2/3
Step-by-step explanation:
Let x be number
Multiply by 2 = x * 2
Now, divide by 3 = 2x ÷ 3 = [tex]\frac{2x}{3}[/tex]
So, this is same as multiplying 'x' by [tex]\frac{2}{3}[/tex]
factor of 48, factor of 32, The greatest number is stuffed animals you can have in a roll is?
Answer:
16
Step-by-step explanation:
evaluate -(2^-6)(2^3)
Answer:
-0.125
Step-by-step explanation:
Just had that question on SAT
Answer:- 0.125
Step-by-step explanation:
A recipe uses 4 cups of milk to make 12 servings. If the same amount of milk is used for each serving, how many servings can be made from three gallons? Before you try that problem, answer the question below. How many cups will you need to find the number of servings for?
Answer:
144 servings
Step-by-step explanation:
Step 1
We convert 3 gallons to cups
1 gallon = 16 cups
3 gallons = x cups
x = 3 × 16 cups
x = 48 cups
Step 2
If
4 cups of milk = 12 servings.
48 cups of milk = x servings
Cross Multiply
4 × x = 48 × 12
x = 48 × 12/4
x = 144 servings
Therefore, 3 gallons of milk(48 cups) = 144 servings
?Joshua started the month with $20.50 in his bank. He earned $3.75 for washing the car. Then he spent $5.25 at the movies. Joshua mowed his neighbor's lawn for $7.50. Finally, he bought a new video game for his computer for $18.75. How much money did Joshua have at the end of the month. please help me!! the ansewr choices are: $10.75, $18.25, 7.75 and $45.25.
what is the smallest sum of money that can be made up of exact number of 5 cent or of 25 cent pieces
292o2ox2927+8838_833873
Step-by-step explanation:
The ratio 124:111 is a blank comparison
Answer:
part to part
Step-by-step explanation:
Answer:person abov me
Step-by-step explanation:
lim of x goes to a x minus a divided by the square root of x minus square root of a
A. negative 2 times the square root of a
B. 2 times the square root of a
C. the square root of a
D. 2a
Answer:
i know a nice song it's called hi guy. you are cool and smart
Step-by-step explanation:
you should take a bath everyday
Which is the slope of the line that passes through the points (-2, 4) and
(5, -1)?
Rewrite
6 3/4
as an improper fraction.
Answer:
27/4
Step-by-step explanation:
To find the answer, all you would need to do is multiply the denominator by the whole number and add the numerator. And so if you multiply the denominator (4) by the whole number (6) , and add the numerator (3) , you will get the answer: 27/4
Answer:
27/4
Step-by-step explanation:
6*4=24
24+3=27
Shelley reaches into a bag of candies and chooses one without peaking. 1 point
The bag holds 12 red, 23 orange, 15 green, and 10 yellow candies. What is
the probability that Shelley will select a green candy?
Answer:
probability of choosing a green candy is 1/4
(03.07)
Solve x2 + 6x + 4 = 0. (1 point)
Answer:
x = -0.5
Step-by-step explanation:
help with probablity please 50 POINTS
Answer:
What exactly do you mean by probability?
Answer:
3/5 or 60%
Step-by-step explanation:
∣−7∣ PLEASE HELP I HAVE 2 MINS TO GO
Answer:
The absolute value is 7.
Step-by-step explanation:
Because when a number has two lines between it you always make it positive.
Answer:
7
Step-by-step explanation:
|-7| means to switch it a positive and not a negative so |-7|=7
Examine the system of equations.
y = negative one-fourth x minus 2
x = 4
What is the solution to the system?
(–3, –2)
(4, –3)
(4, –2)
(4, –1)
The answer is 4,-3
Irfcdxsaacd d
Answer:
4,-3
Step-by-step explanation:
is one prime or composite?
It's neither prime or composite.
1 only has a single factor which is 1, so you can't really say.
One is a prime number because it can only be gotten in multiplication equation by using 1x1 to get 1! If it was 12 where multiple equations could get it like 3x4 then it would be composite!
Hope this helps, if not, comment below please!!!