Jaden is flying a kite with an angle of elevation of 33 degrees. If Jaden lets out 275 feet of string, how high above the ground is the kite flying? Round answers to the nearest tenth place.
Answer:
149.8 feet
Step-by-step explanation:
θ = Angle of elevation = 33°
The length of string Jaden lets out = Hypotenuse = 275 feet.
How high above the ground that the kite is flying = Opposite Side.
We are solving this question using the Trigonometric function of Sine
Sin θ = Opposite Side/Hypotenuse
Sin 33 = Opposite/275 feet
Cross Multiply
Sin 33 × 275 feet = Opposite
Opposite side(Height ) = 149.77573463 feet
Approximately to the nearest tenth = 149.8 feet
7 students have 3 books each. Which helps you find the total
number of books?
A.
7-3
B.
7+3
C.
7 x3
D.
7 + 3
Two sides of a triangle have measures 3 ft and 6 ft. Also, these sides form a vertex whose angle measures 60 degrees. Calculate the missing attributes of the triangle.
Answer:
A. The length of the third side is approximately 5 feet.
B. A = [tex]88^{o}[/tex], B = [tex]60^{o}[/tex] and C = [tex]32^{o}[/tex].
Step-by-step explanation:
Let the triangle be ABC. Given two sides and an included angle, let us apply the cosine rule to determine the third length.
A. Let side a = 6 feet and c = 3 feet, thus;
[tex]b^{2}[/tex] = [tex]a^{2}[/tex] + [tex]c^{2}[/tex] - 2ac Cos B
= [tex]6^{2}[/tex] + [tex]3^{2}[/tex] - 2(6 x 3) Cos [tex]60^{o}[/tex]
= 36 + 9 - 36 x 0.5
= 45 - 18
[tex]b^{2}[/tex] = 27
b = [tex]\sqrt{27}[/tex]
= 5.1962
b = 5.2 feet
b ≅ 5 feet
The length of the third side is approximately 5 feet.
B. Given that B = [tex]60^{o}[/tex], then let us apply the Sine rule to determined the measure of A.
[tex]\frac{a}{SinA}[/tex] = [tex]\frac{b}{SinB}[/tex]
So that,
[tex]\frac{6}{Sin A}[/tex] = [tex]\frac{5.2}{Sin60^{o} }[/tex]
Sin A = [tex]\frac{0.886*6}{5.2}[/tex]
Sin A = 0.99923
A = [tex]Sin^{-1}[/tex] 0.99923
= 87.75
A ≅ [tex]88^{o}[/tex]
Since the sum of angle in a triangle = [tex]180^{o}[/tex].
Then,
A + B + C = [tex]180^{o}[/tex]
[tex]88^{o}[/tex] + [tex]60^{o}[/tex] + C = [tex]180^{o}[/tex]
[tex]148^{o}[/tex] + C = [tex]180^{o}[/tex]
C = [tex]180^{o}[/tex] - [tex]148^{o}[/tex]
= [tex]32^{o}[/tex]
C = [tex]32^{o}[/tex]
Thus,
A = [tex]88^{o}[/tex], B = [tex]60^{o}[/tex] and C = [tex]32^{o}[/tex].
What is the result when x^3-8x^2+19x-14x 3 −8x 2 +19x−14 is divided by x-2x−2? If there is a remainder, express the result in the form q(x)+\frac{r(x)}{b(x)}q(x)+ b(x) r(x) .
Answer:
The result when x^3-8x^2+19x-14 is divided by x^2-2x−2 is
[tex]x-6 +\frac{9x -26}{x^{2} -2x-2}[/tex] .
Step-by-step explanation:
Seems the divisor in the question is x^2-2x−2. If so, the solution to the division is shown using the long division method in the attachment below.
The result is
[tex]\frac{x^{3}-8x^{2} +19x -14}{x^{2} -2x-2} = x-6 +\frac{9x -26}{x^{2} -2x-2}[/tex]
(FREE BRAINLIEST I NEED HELP PLEASE BAIL ME OUT)Find the constant of proportionality in a graph. Be sure to include the units with the value.
Constant of Proportionality =
Answer:
Fraction form:
[tex]\frac{3}{4}[/tex]
For every 3 dollars, there are 4 cookies
Step-by-step explanation:
To find the constant, find the rise (y-direction) and the run (x-direction). Of the two points on the line, the rise is 3 and the run 4. The constant is rise over run. So, it’s [tex]\frac{3}{4}[/tex]. This means that for every 3 dollars, there are 4 cookies.
Hope this helps! :)
At the State Park Zoo, there are 35 snakes in the reptile exhibit. There are 7 times as many snakes as iguanas in the reptile exhibit. How many iguanas are in the reptile exhibit?
Answer:
There are 245 Iguanas in the reptile exhibit
Step-by-step explanation:
There are 35 snakes in the reptile exhibit.
We are also given some information about the number of iguanas in the reptile exhibit. According to the problem, there are 7 times as many snakes as iguanas in the reptile exhibit.
This means that to get the number of Iguanas in the reptile exhibit, we simply multiply the number of snakes by 7.
Iguanas = snakes X 7
Iguanas = 35 X 7 =245 Iguanas
Therefore, there are 245 Iguanas in the reptile exhibit
In a painting, The Great Pyramid of Giza is 45 centimeters tall.
If the pyramid is actually 146.5 meters tall, find the scale.
Answer:
The scale is: 1 cm = 3.26 meter
Step-by-step explanation:
Given
Height of Pyramid in Painting = [tex]H_p = 45 cm[/tex]
Actual Height of Pyramid = [tex]H_a = 146.5m[/tex]
In order to find the scale, we can find the ratio between actual height and height in painting.
The ratio can be found by dividing the actual height by height in painting
[tex]Scale = \frac{H_a}{H_p}\\= \frac{146.5}{45}\\=3.25555 m/cm[/tex]
Rounding off to nearest hundredth
= 3.26
This means that the scale is:
1 cm = 3.26 meter
is y=5 a linear function.
Answer:
No, y=5 is NOT a linear function.
Step-by-step explanation:
In order for a linear function to be true, it need to include a slope-intercept. For example, a commonly used equation, y = mx+b y = m x + b, is an example of a linear function, since it meets both the variables of m and b and criteria of x and y. In this case, when drawing out y=5 on a graph, marking it down reveals no slope.
I hope this helped to answer your question.
We now know that y = 5 is not a linear function as it cannot be written as y = MX + b.
What are linear functions?The term "linear function" in mathematics applies to two different but related ideas: A polynomial function of degree zero or one that has a straight line as its graph is referred to as a linear function in calculus and related fields. The formula y = MX + b can be used to represent any linear function, where m denotes the slope and b is the y-intercept (slope-intercept form). The alternative formula for a linear function is y - y₀ = m(x - x₀), where m denotes the slope and (x₀, y₀) the line's origin (point-slope form).As, in the description it is cleary said that linear functions can be represented in y = MX + b form, and y = 5 cannot be represented in the same form.
Therefore, y = 5 is not a linear function as it cannot be written as y = MX + b.
Know more about linear functions here:
https://brainly.com/question/15602982
#SPJ2
Negative 1.5 (4 minus r) = negative 12
Answer:
r = - 4
Step-by-step explanation:
Given
- 1.5(4 - r) = - 12 ( divide both sides by - 1.5 )
4 - r = 8 ( subtract 4 from both sides )
- r = 4 ( multiply both sides by - 1 )
r = - 4
Answer:
12
Step-by-step explanation:
1.5(4-r) = -12
To solve, first multiply 4-r by 1.5. When you do this, you can then simplify the expression and write it as 6-1.5r=-12.
With the simplified expression, you can solve for r.
Subtract 6 from both sides then divide by -1.5.
-1.5r=-18
r=12
What is the slope of the line that passes through the points (-2.5) and (1, 4)
Answer:
-2/1
Step-by-step explanation:
hope this helps
square root of 1.6 and 8.2 and 24 and 26
will mark brainliest. which is right? (a,b,c,d,e?)
Answer:
C
Step-by-step explanation:
Answer:
The answer is C.
Step-by-step explanation:
If we're talking about fractions, the smaller numbers are larger, why? I have no idea, but 1/8 is half of 1/4 making 1/4 larger. Now give me that brainliest buster.
Please help, I have nothing good to offer though.
Which inequality is true? 5/6 < -1/3
2 1/3 > 2 1/6
2 < -2 1/3
1 1/4 > 1 1/3
URGENT NEED OF HELP PLEASE ILL GIVE BRAINLEST
Answer:
umm.. I think the answer choices are wrong because the slope is -2.
y = mx + b
y = (slope)x + (y-intercept)
y = -2x + 4
and i have proof!
Step-by-step explanation:
ASAP solve 21x+6=300 30 points
Answer:
x = 14
Step-by-step explanation:
To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. In the example above, the variable x is equal to 6 since 6 + 6 = 12. If we know the value of our variables, we can replace the variables with their values and then evaluate the expression. 21x+6=300 X=14, 21x14=294+6=300.
HELP PLEASE!!!
When a bush was first planted in a garden, it was 20cm tall. After two months, it was 700% as tall as when it was first planted. Use mental math to find how tall the bush was after the two months.
Whats the percent of 550% of 22
Answer:
121
Step-by-step explanation:
Convert 550% into a decimal by moving the decimal point 2 times to the left. 5.5. Then multiply 5.5 x 22 to get 550% of 22.
PLEASE HELP ME I NEED HELP ITS DUE RIGHT NOW
Answer:
a
Step-by-step explanation:
Answer:
I think its the number of months
Step-by-step explanation:
It could be the number of months because its kinda independent. If you think about it, the cost is depending on the number of months-(you pay depending on the number of months). It could also be the $30 because it really doesn't depend on anything.
Hope this helps:)
A ten pound bag of cherries cost $33.50. How much is one pound of cherries?
During a sale, a dress is marked down from a selling price of $ to a sale price of $44.20 What is the percent markdown?68
Answer:
35% is the answer 68-35%=44.2
Step-by-step explanation:
which expression represents 87 less than the product of 12 and 15
Answer:
I think answer is 87<180 or maybe 87<12*15
I need help I feel like it's right but then again I get confused on these
Answer:
Ye im pretty sure your right
Step-by-step explanation:
Select yes or no to indicate whether each of the ordered pairs is most likely a solution to the equation represented by the graph?
Answer: no no yes
Step-by-step explanation:
HELP PLEASE what's the slope of the line?
Step-by-step explanation:
The slope of a line characterizes the direction of aline. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .
Answer:
the slope of the line would be 1/2 I think
Ms. Jacobsen is tilling her basement floor. The floor is in the shape of a rectangle with a length of 240 inches and a width of 180 inches. Ms. Jacobson uses tiles that are 1 square foot in size. How many tiles does Ms.Jacobsen need to cover her basement floor?
Answer:
Total number of tile used = 300
Step-by-step explanation:
Given:
Length of floor = 240 inches = 240 / 12 = 20 ft
Width of floor = 180 inches = 180 / 12 = 15 ft
Size of each tile = 1 square foot
Find:
Total number of tile used
Computation:
Area of floor = 20 x 15
Area of floor = 300 square foot
Total number of tile used = Area of floor / Size of each tile
Total number of tile used = 300 / 1
Total number of tile used = 300
The table below shows the amount of flour needed for each recipe. Sort the list below from
greatest to least amount of flour needed per serving.
Cups of Flour
Serving Size
Recipe A
1
Recipe B
Recipe C
를
Recipe D
1 2 3 를
Recipe A, Recipe B, Recipe C, Recipe D
Answer:
d,c,b,a
Step-by-step explanation:
what is 9 divided by 3 plus for times 6 plus 8
Answer: 50
Step-by-step explanation: 9 divided by 3 plus 4 times 6 plus 8 equals 50
Answer:
35
Step-by-step explanation:
9 ÷ 3 + 4 · 6 + 8
Do 9 ÷ 3 first
3
Plug this value back into the equation
3 + 4 · 6 + 8
Do 4 · 6 next
24
Plug this value back into the equation
3 + 24 + 8
Add 3 to 24
27
Plug this value back into the equation
27 + 8
Add
35
Hope this helps :)
Please consider Brainliest :)
13- (8x - 5) – 16x
Help please!
Choose the equivalent equations!
-18x plus 8
-18x plus 57 over 4
18x plus 13 - 5 over 4
-18x plus 13 plus 5 over 4
Answer:
The answer is 6(3-4x) because I just did on a test
what is the answer ?
Answer:
C and D
Step-by-step explanation:
Now, I'm not 100% sure on this answer. But, these two look the most efficient answers to go for.
I hope this helps you!
Students in Mr. Tallow's class are reading a book that has 280 pages. Ramon decides to read 25% of the book each night. How many pages will Ramon read each night?
Answer:
70
Step-by-step explanation:
280×25%=70 pages per night
Answer:
70
Step-by-step explanation: