Find the exact value of the given angle. Simply all radicals and rationalize all denominators.
Answers
Answer:
4√33/33
Step-by-step explanation:
Solution,
Here,
sinθ=4/7
p/h=4/7
b=?
Now using Pythagoras theorem,
[tex]\hookrightarrow h^{2} =p^{2} +b^{2} \\\\\hookrightarrow (7)^{2} =(4)^{2} +b^{2}\\\\\hookrightarrow 49-16=b^{2} \\\\\hookrightarrow b=\sqrt{33}[/tex]
Again,
tanθ=p/b
[tex]tan\theta=\frac{4}{\sqrt{33} } \\\\tan\theta=\frac{4}{\sqrt{33} } \times \frac{\sqrt{33} }{\sqrt{33} } \\\\tan\theta=\frac{4\sqrt{33} }{33}[/tex]
According to the question ,
Sin θ = 4/7
We know that , Sin θ = Perpendicular/Hypotenuse
So , by Pythagoras theorem
Perpendicular = 4 unitsHypotenuse = 7 units Base = let it be xHypotenuse² = Perpendicular ² + Base ²
7² = 4² + x²
49-16 = x²
√33 = x
5.7 = x
So , the base is 5.7 units (approx)
Tan θ = Perpendicular/base
Tan θ = 4/5.7
Related Questions
Find the difference between the numbers 497.063 and 52.12
Answers
Answer:
444.94300
Step-by-step explanation:
497.063-52.12
Please help with the 3 equations and tell me how to write it in a number line please! Will be marked brainliest if the answer makes sense!
Answers
number one is 4 so put it on 4 and number 2 would be on 6 and number 3 on 1 thats just how i see it hope this helps
Step-by-step explanation:
pls helppppp
Edward, Fred, and George share some money in the ratio 5:7:3.
George receives $237.
find the total amount of money that was shared
Answers
The concept of Ratios and shares.
let there be a common multiple 'x' for this ration, hence
5x + 7x + 3x = total money
here, 3x = $ 237
hence, x = $237/3 ==> $79
x = $ 79
hence now the total money that was shared =>
==> 5(79) + 7(79) + 3(79)
==> 395 + 553 + 237
==> $ 1185
The total money shared was $ 1185
It's a trigonometry question.
Answers
The length of the hypotenuse x will be equal to x=89.72 cm.
What is trigonometry?
The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle are termed trigonometry.
It is given in the question that:-
The base is = 54 cm
Angle just opposite the base is =37
So the angle with the base will be =180-90-37=53
So by applying the cosine formula for the right-angled triangle:-
Cos Ф=(B)/(H)
Cos 53=(54)(x)
x=(54)(Cos53)
x=889.72 cm
Hence the length of the hypotenuse x will be equal to x=89.72 cm.
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what is the length of the leg in a 45-45-90 triangle with a hypotenuse of 1?
Answers
Answer:
√2 / 2
Step-by-step explanation:
In a 45-45-90 triangle, the length of a leg is equal to the hypotenuse / √2
Therefore, the length of a leg is 1 / √2
Rationalize by multiplying the numerator and denominator by √2, and this becomes √2 / 2
5х + 15 + 3xy +9y factor it
Answers
Answer:
(5+3y) (x+3)
first of all you bracket by (5x+15)(3xy+9y). and you start fact as follows by 5(x+3y) 3y(x+3)after here you take (5+3y) (x+3)
Answer:
(x+3)+(5+3y)
Step-by-step explanation: In the equation, when you have four terms you group like terms. So 5x+15 by itself and work it out which you will get 5(x+3) and do the same for 3xy+9y answer is 3y(x+3).
Then you will say 5(x+3)+3y(x+3) and then you'll
5(x+3)/(x+3)=5 because you will cancel the (x+3) so the answer would be 5
You will do the same for 3y(x+3)/(x+3)
you will get 3y
Finally, you will take the first equation which is (x+3), and then you'll use the last equation which is (5+3y)
So that's how you will get (x+3)+(5+3y)
A park is 4 times as long as it is wide. if the distance around the park is 12.5 kilometers, what is the area of the park? 2 answers
Answers
Answer:
6.25 km^2.
Step-by-step explanation:
Let the park be x km wide. Then it's length is 4x km.
Perimeter = 2(Length + width)
12.5 = 2(4x + x)
2*5x = 12.5
x = 12.5 /10 =1.25 km.
So the park is 1.25 km wide and 4*1.25 = 5 km long.
The area of the park = 1.25 * 5
= 6.25 km^2.
The dimension of the park is 1.25 km by 5 km. Then the area of the park is 6.25 square km.
What is the area of the rectangle?Let W be the rectangle's width and L its length.
The area of the rectangle is the multiplication of the two different sides of the rectangle. Then the rectangle's area will be
Area of the rectangle = L×W square units
A recreation area is multiple times for however long it is wide. assuming the distance around the recreation area is 12.5 kilometers.
Then the equation is given as,
L = 4W
Then the perimeter of the garden is given as,
12.5 = 2(L + W)
12.5 = 2(4W + W)
6.25 = 5W
W = 1.25 km
Then the length is given as,
L = 4 x 1.25
L = 5 km
Then the area of the garden is given as,
A = 5 x 1.25
A = 6.25 square km
The dimension of the park is 1.25 km by 5 km. Then the area of the park is 6.25 square km.
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What is the value of x?
X
35
85
Write your answer in the box.
Answers
Answer:
-15
Step-by-step explanation:
since there's a difference of 50 between 35 and 85, there'll be a difference of 50 between X and 35 too.
PLEASE HELP WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER.
Find the difference between your wet bulb and dry bulb temperatures. Round the value to the nearest whole number. Use this value and your average dry bulb temperature in Celsius (round up or down to the nearest temperature) to determine the relative humidity using the chart below.
Relative Humidity (%)
Dry Bulb Temperature(°C)
Difference of Wet Bulb and Dry Bulb Temperatures(°C)
Answers
Answer:
20 degrees
Step-by-step explanation:
Answer:
20 degrees
Step-by-step explanation:
I got help from my teacher.
A printing press valued at $120,000 depreciates 12% per year. What will be the approximate value
printing press in seven years? Round your answer to the nearest whole dollar.
A. Growth or Decay
B. Equation:
C. Answer:
Answers
Answer:
1230000
Step-by-step explanation:
this is because of growth and inflation and deflation
12% of 120,000 = 14400
14400x7 = 100800
120,000 - 100800 = 19200
A:DECAY
Which of the following sets of numbers could represent the three sides of a triangle? \{6,14,17\}{6,14,17} \{10,23,34\}{10,23,34} \{10,14,26\}{10,14,26} \{7,20,28\}{7,20,28}
Answers
The sets of numbers which could represent the three sides of a triangle is {6,14,17}. Option A is the correct option.
What is triangle inequality theorem?Triangle inequality theorem of a triangle says that the sum of the two sides of a triangle is always greater than the third side.
Suppose a, b and c are the three sides of a triangle. Thus, according to this theorem,
[tex](a+b) > c\\(b+c) > a\\(c+a) > b[/tex]
The sides of first option are, 6,14,and 17.
[tex]6+14 > 17\\20 > 17[/tex]
This set satisfy the triangle inequality theorem. All the other options do not follow, to satisfy this theorem.
Thus, the sets of numbers which could represent the three sides of a triangle is {6,14,17}. Option A is the correct option.
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if A - 13= (-8), then what does A equal?
(will mark brainliest)
Answers
Answer:
A = 5
Step-by-step explanation:
Add 13 to each side of the expression :
A - 13 + 13 = -8 + 13A = 13 - 8A = 5Step-by-step explanation:
A 13+13 equal to -8+13
A 13-8
A 5
NEED QUESTION QUICK Franco’s gross weekly earnings are $895. The federal income tax withheld is $78.25. The state tax deduction is $9.15. He also contributes 4.5% of his weekly earnings to a health savings account. What are his net earnings?
Answers
Answer:
$771 is your answer rounded
Step-by-step explanation:
771.258
Answer:
895+ 78.25 + 9.12 + 4.5 will equal 986.87 just add all the numberes together and you will get 986.87
Step-by-step explanation:
so therefor your answer will be 986.87 but if you round it to the nearest hundred it would be a thousand
A survey asks teachers and students whether they would like the new school mascot to be a shark or a moose. This table shows the results. Which statement is true? Sharks Moose Total Students 90 10 100 CARNE Teachers 5 10 15 Total 95 20 115 A. "Moose" is equally popular with students and teachers. B. There is no difference between the preferences of students and teachers. C. "Moose" is more popular with students, but "shark" is more popular with teachers. ch D. "Shark" is more popular with students, but "moose" is more popular with teachers.
Answers
“Shark” is more popular with students, but “Moose” is more popular with teachers. Then the correct option is D.
How to find the relative frequency?Relative frequency is the ratio of the considered subgroup's count to the total count. (so its frequency of the considered subgroup relative to the total frequency).
A survey asks teachers and students whether they would like the new school mascot to be a shark or a moose.
This table shows the results.
Sharks Moose Total
Students 90 10 100
Teachers 5 10 15
Total 95 20 115
Then the correct situation will be
“Shark” is more popular with students, but “Moose” is more popular with teachers.
Then the correct option is D.
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equation that shows 3 less than the product of 4 and m
Answers
The statement is a mathematical statement, and the equation that shows the statement is y = 4m - 3
How to determine the equation?The product of 4 and m is represented as:
4 * m
Evaluate
4 * m = 4m
3 less than this product is represented as:
4 * m - 3 = 4m - 3
Let the result of the equation be represented with y.
So, we have:
y = 4m - 3
Hence, the equation that shows the statement is y = 4m - 3
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There is a pair of parallel sides in the following shape.
9. 5. 3
Answers
Answer:
area of composite shapes is area of rectangle plus area of square what do I know I'm just in 8th grad
Pls help! Due soon!!
Answers
Answer:
See below ~
Step-by-step explanation:
1. 3d + 2
2. John = Kelly - 6
3. y/4 - 3
4. Thomas = 2(Luis)
5. 8p + 6
6. x³ + 5
Use the numbers in the multiplication
equation 28 x 1/7= 4 to write a division
equation involving division by a fraction.
Answers
Changing the multiplication sign to a division sign, we will have 28 ÷ 7
Multiplication and division ruleGiven the product of 28 and 1/7, we are to write a division equation involving division by a fraction.
Given
28 * 1/7 = 4
Changing the multiplication sign to a division sign, we will have:
28 * 1/7 = 28/7
This can also be written as 28 ÷ 7
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what is the length of side x,y, and z
Answers
Answer:
X = [tex]\sqrt{2}[/tex] , Y = 3 , Z = 10
Step-by-step explanation:
using Pythagoras' identity in all 3 right triangles
X² = 1² + 1² = 1 + 1 = 2 ( take square root of both sides )
X = [tex]\sqrt{2}[/tex]
middle triangle
Y² = 1² + X² = 1 + ([tex]\sqrt{2}[/tex] )² = 1 + 2 = 3
triangle on right
Z² = 1² + Y² = 1 + 3² = 1 + 9 = 10
Amy buys a tablet case for $10.50 plus a 6% tax and Joanne buys a phone charger for $8 with a 6% sales tax. Enter the sum, in dollars, that Amy and Joanne paid, including tax.
Answers
Answer: 19.61$
Step-by-step explanation:
6% = .06
10.5 x .06
.63
10.5 + .63
11.13$
8 x 0.06
.48
8 + .48
8.48$
8.48 + 11.13
19.61$
Select the best description for the sum of the expression below.
√10 + √26
A. rational
B. neither rational nor irrational
C. both rational and irrational
D. irrational
Answers
Answer:
D.irrational
Step-by-step explanation:
√10 +√26= 8.261279174
is has decimal at the end therefore it is irrational
Estimate the sum
1.37 + 0.9
Answers
[tex]1.37 + 0.9\\\\\\=\dfrac{137}{100} + \dfrac{9}{10}\\\\\\=\dfrac{137}{100}+\dfrac{90}{100}\\\\\\=\dfrac{137+90}{100}\\\\\\=\dfrac{227}{100}\\\\\\=2.27[/tex]
PLease help its a math question see image attached please
Answers
Answer:
Quadratic
Step-by-step explanation:
The function shown here is :
y = 2x²As the degree of the polynomial is 2, this function is considered to be quadratic.
It's seventh grade social studies the question is written thanks!!
Answers
Answer:
Slavery caused the Civil War because colored people were being treated unfairly by the South and the North didn't like that. States rights is when a state abides by its own rules. Missouri was allowed to enter the Union as a slave state. California had to decide if they were going to be a slave state or a free state.
Step-by-step explanation:
Slavery was the root of the Civil War in the United States. Following the election of Republican and abolitionist Abraham Lincoln in 1861, southern governments grew fearful of his political beliefs. His victory sparked heated debate in the slave-dependent southern states. Because of the incoming president's future activities, states were planning to secede. These republics were heavily reliant on agriculture, therefore ending slavery would be disastrous. After Lincoln rejected their judgment, the Union and Confederacy declared war on one other. The Confederacy battled and killed to keep slavery alive, but the union won four years later. Abraham Lincoln fought for black people's freedom and human rights while simultaneously fighting to keep the Unified States united. This battle not only ended slavery, but it also brought the states together and preserved a strong country developing together.In the 1860 presidential election, Abraham Lincoln campaigned for president and won, becoming the first republican candidate to do so. His election, on the other hand, brought terrible news to the southern states, which were heavily reliant on agricultural and used slavery to increase revenues. "By and large," according to the book America Past and Present, "By and large, by and large, by and large, by and The civil war began in April 1861, when Southern states attempted to secede from the nation after Abraham Lincoln's election, and concluded in 1865, when the northerners (the Union) triumphed. However, the most crucial reason for the outbreak of the war was that Republican Abraham Lincoln won the election of 1860, and his views on slavery were diametrically opposed to those of the southerners. His election sparked such outrage in the southern states that the possibility of going to war to avoid being linked with his political ideals was floated.
in need of help please :)
Answers
Answer:
okay let's start
Step-by-step explanation:
[tex]number \: 1 \\ cos \: b = \frac{adjacent}{hypotenuse} \\ cos \: b = \frac{ac}{cb} \\ \: \ cos \: b = \frac{12}{13} \\ [/tex]
How many kilometers is equal to 800 meters?
Answers
- - - - - - - - - - - - -- - - - - - - - - -- -- - - - - - - - -- - - - - - - -- - - - - - -- - - - - - -
[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]
How many kilometers is equal to 800 meters?
[tex]\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}[/tex]
Divide the number of meters by 1000 to convert meters (m) into kilometers (km):
[tex]\texttt{800:1,000=0.8 km}[/tex]
So 800 m is equal to 0.8 km.Good luck.- - - - - - - - - - - - - - - -- - - - - - - - - - - - - - - - - - - - - -- - - - - - - - -
Robert wants to have 3 cherry trees planted on his property. He asked a landscaping company to give him a bid. The contractor wanted $750 to buy and plant the trees. Robert’s friend Tom said he would help him plant the trees on the weekend. The trees cost $115 each. How much will Robert save by having his friend help him?
Answers
Answer:
If I am correct he will save $405 by having his friend helping him.
Step-by-step explanation:
3x115=345
750-345=$405
totaled saved: 405
.....Can someone help me?
Answers
Answer:
A (the one you already have selected!)
Step-by-step explanation:
the vertical asymptotes: x = pi / 2
Vertical shift: - 2
Phase shift and period: pi to the right
Which expression is equal to (screenshot)
Answers
Answer:
D. 6x + 4 / x² + 5x
Step-by-step explanation:
Dividing a fraction is same as multiplying its inverse.
Therefore,
(3x + 2)/(4x) × 8/(x + 5)(3x + 2)/x × 2/(x + 5)2(3x + 2)/x(x + 5)6x + 4 / x² + 5xOption DAnswer:
[tex]\textsf{D.} \quad \dfrac{6x+4}{x^2+5}[/tex]
Step-by-step explanation:
When dividing fractions, multiply the first fraction by the reciprocal of the second fraction:
[tex]\begin{aligned}\left(\dfrac{3x+2}{4x}\right) \div \left(\dfrac{x+5}{8}\right) & =\left(\dfrac{3x+2}{4x}\right) \times \left(\dfrac{8}{x+5}\right)\\\\& = \dfrac{(3x+2) \times 8}{4x \times (x+5)}\\\\& = \dfrac{8(3x+2)}{4x(x+5)}\\\\& = \dfrac{2(3x+2)}{x(x+5)}\\\\& = \dfrac{6x+4}{x^2+5}\\\end{aligned}[/tex]
Using slope, tell whether each pair of
lines is parallel, perpendicular, or
neither:
Answers
First set is parallel - same gradient
Second set is neither - gradient is 2/6 or 1/3. It then had to be 3 for it to be perpendicular.
Hope this helps!