Answer:
3/2
Step-by-step explanation:
Csc(theta) = 1/Sin(theta)
So we have to find the side opposite theta.
a = 3*sqrt(5)
b = ?
c = 9
a^2 + b^2 = c^2
(3sqrt(5)) ^2 + b^2 = 9^2
9*5 + b^2 = 81
b^2 = 81 = 45
b^2 = 36
sqrt(b^2) = sqrt(36)
b = 6
Sin(theta) = 6/9
Csc(theta) = 1 / sin(theta) = 9/6
Csc(theta = 3/2
Problem 3
Answer: 3/2=====================================================
Explanation:
Use the pythagorean theorem to find the length of the missing side.
[tex]a^2 + b^2 = c^2\\\\a^2 + (3\sqrt{5})^2 = 9^2\\\\a^2+3^2*(\sqrt{5})^2 = 9^2\\\\a^2 + 9(5) = 81\\\\a^2 + 45 = 81\\\\a^2 = 81-45\\\\a^2 = 36\\\\a = \sqrt{36}\\\\a = 6\\\\[/tex]
This is the length of the missing vertical side. This side is opposite the angle theta.
[tex]\csc = \text{cosecant}\\\\\csc(\theta) = \frac{\text{hypotenuse}}{\text{opposite}}\\\\\csc(\theta) = \frac{9}{6}\\\\\csc(\theta) = \frac{3*3}{3*2}\\\\\csc(\theta) = \frac{3}{2}\\\\[/tex]
Alternatively, you can compute it like this
[tex]\sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}}\\\\\sin(\theta) = \frac{6}{9}\\\\\sin(\theta) = \frac{2}{3}\\\\\csc(\theta) = \frac{1}{\sin(\theta)}\\\\\csc(\theta) = 1 \div \sin(\theta)\\\\\csc(\theta) = 1 \div \frac{2}{3}\\\\\csc(\theta) = \frac{3}{2}\\\\[/tex]
10
16. There are 36 tables set up for the graduation reception. Each table is
8 feet long. The tables will be covered with paper tablecloths that extend
an extra 3 inches over each end (so they can be taped underneath). What
is the total length of paper needed to cover all the tables?
We have that the total length of paper needed to cover all the tables is
[tex]X=288.5ft[/tex]
From the question we are told that:
Number of tables [tex]n=36[/tex]
Length of table[tex]l=8[/tex]
Extension [tex]e=3 inch =>0.25feet[/tex]
Generally, the equation for the Total length tables is mathematically given by
[tex]l_t=n*l\\\\l_t=36*8[/tex]
[tex]l_t=288ft[/tex]
Therefore with an extension of 0.25ft at both end we have the Total length of tablecloths to be
[tex]X=l_t+2(e)\\\\X=288ft+2(0.25)[/tex]
[tex]X=288.5ft[/tex]
In conclusion
The total length of paper needed to cover all the tables is
[tex]X=288.5ft[/tex]
For more information on this visit
https://brainly.com/question/12595620
HELP ILL GIVE BRAINLIEST QUICK!!
Answer:
Dan is correct
Step-by-step explanation:
First, I calculated the amount of hours that the graph shows in total, coming up with a total of 3,085 hours. I do this by multiplying the number of adults surveyed by the number of hours they spent. So for the first column, (80+70)*1, second column, (90+80)*2, third column, (135+130)*3, fourth column, (140+135)*4, and fifth column, (65+75)*5 if you get what I mean. Then I add up all values. Knowing that there were two sets of 500 American adults interviewed already, I came to the conclusion that 1,000 total adults were surveyed. Finally, I divided the total number of hours(3,085) by the total number of adults interviewed (1,000) to get a mean of 3.085 hours, rounding it to 3 hours and proving that Dan is correct.
Find the area of the triangle.
A. 5.7 ft
B. 8 ft
C.0.1 ft
D. 16 ft
Answer:
formular 1/2 × base × height
1/2 × 2 × 8
16/2 = 8 ft
ans 8 ft
Answer:
Step-by-step explanation:
a = 2 ft ; b = 8 ft ; C = 91
[tex]Area = \dfrac{abSin \ C}{2}\\\\ =\dfrac{2*8*Sin \ 91}{2}\\\\=8* 0.99\\\\= 7.92\\\\= 8 \ ft^{2}[/tex]
Write the following phrase as a variable expression. Use x to represent "a number" the sum of a number and seventeen
translation is:
Answer:
[tex]x+17[/tex]
Step-by-step explanation:
Hi there!
Let [tex]x[/tex] represent "the number".
The sum of a number and seventeen
⇒ [tex]x+17[/tex]
I hope this helps!
Given g(x) = -5x + 5, solve for 2 when g(x) = 0.
Answer:
Step-by-step explanation:
g(x) = 0
0=-5x+5
5x=5
x=1
Answer:
x = 5
Step-by-step explanation:
given:
[tex]g(x) = -5x + 5[/tex]
solve for x, when:
[tex]g(x) = 0[/tex]
replace x with 0
~~~~~~~~~~~~
➡️ [tex] x = -5(0) + 5 [/tex]
➡️ [tex] x = 0 + 5[/tex]
➡️ [tex]x = 5 [/tex]
Tamara owes her father $56.
She earned $20 for walking
dogs over the weekend and
gave the money to her
father. What is her balance
now?
Answer:
the balance is 56$
Step-by-step explanation:
its still 56$ because there isn't anything mention to tamara has buy something so he doesnt lose any money.
9/x + 2 = 20
WAHT IN THE WORLD? HOWWWW?!
Answer:
1/2 =x
Step-by-step explanation:
9/x + 2 = 20
Subtract 2 from each side
9/x + 2-2 = 20-2
9/x =18
Multiply each side by x
9/x *x = 18*x
9 = 18x
Divide each side by 18
9/18 = 18x/18
1/2 =x
A baker is building a rectangular solid box from cardboard to be able to safely deliver a birthday cake. The baker wants the volume of the delivery box to be 360 cubic inches. If the width of the delivery box is 3 inches longer than the length and the height is 4 inches longer than the length, what must the length of the delivery box be?
2 inches
5 inches
8 inches
9 inches
Answer:
5
Step-by-step explanation:
Solution is 8 in
Let´s call dimensions of the box
x the length of the boxy the width of the box andh the height of the boxAccording to the problem statement
y = x + 3 and h = 4 in
The volume of the box is:
V = x×y×h V = 360 in³
Then V = x × ( x + 3 ) × 4 ( by substitution of y as a function of x )
360 = x × ( x + 3 ) × 4
Simplifying by 4
90 = x × ( x + 3 )
90 = x² + 3x
We got a second degree equation, solving for x
x² + 3×x - 90 = 0
x₁,₂ = ( -3 ± √ (3)² + 4×90 )/2 ⇒ x₁,₂ = ( - 3 ± 19,21 )/2
x₁ ⇒ is a negative value x = - 11,1 so we dismiss such solution
x₂ = 16.21/2
x₂ = 8.1 in
rounding to the nearest integer number we get the value for the length f the box
x₂ = 8 in ⇒ x = 8 in
Note: In Brainly.com in search bar ask for cube dimensions
calculate the length of the legs of an isosceles triangle.The base is less than the other congruent legs by two units.The perimeter of the triangle is 22 meter .
Answer:
Sides = 8 each and base = 6
Step-by-step explanation:
Let congruent legs = x, then the base is x - 2 so,
P = x + x + (x - 2)
22 = 3x - 2
24 = 3x
8 = x (sides)
base = 8 - 2 = 6
Which answer choice correctly shows 564 written as a Roman numeral? A.DLXIN B.DLXIIII C.DXLIV D.MLXIV
Answer:
DLXIV. I don't see that as any of the answer choices, so maybe you put some of them in wrong.
Step-by-step explanation:
D is 500
LX is 60
IV is 4
I hope this helps!
pls ❤ and mark brainliest pls!
What is the slope of the line that passes through the points
(4,-5) and (3, 8)?
0 -3
O 13
0 -13
I'm sorry to bother. I really can't understand this and my teacher isn't offering help after school today. Could someone help? I've already done 5-8
Answer:
Step-by-step explanation:
is this involved with the pythagorean angles?\
Order the numbers below from least to greatest.
Answer:
I don't believe any of these are correct.
I think the real order is:
-9/4, -1, [tex]\sqrt{6}[/tex], 1/4, 3.9
But I would choose D if I were you.
What is the measure of ZW?
Select the best answer from the choices provided.
A.530
B. 74°
C.106°
D.116
Answer:
B) 74
Step-by-step explanation:
This is an icoseles triangle because of the 2 lines in each side. This makes <Y equal to <Z
Given:
<Y = <Z
All triangle angles add up to 180 so:
<W + <Y + <Z = 180
<W + 53 + 53 = 180
<W + 106 = 180
<W = 180 - 106
<W = 74
Calculate the area of each figure.
(PLS HELP )
Each face of a cube is a square with a side length of 8 centimeters. What is
the total area of all of the faces of the cube?
Answer:
12
Step-by-step explanation:
the Andrew's going to be 12 because you have to
know all the sides of cube
{x:x is a natural number and x is greater than 70} write the set in listed form.
Answer:
{71,72,73,74,75,76,77,78,79,80}Step-by-step explanation:
natural numbers start from one but it says greater than 70 so it will start from 71 but to any number as long as it is greater than 70
11. The sum of three consecutive odd integers is
93. Find the integers.
Answer:
29, 31, 33
Step-by-step explanation:
factorise pls explain me i will make u brainlinst
Answer:
4(5x _ 2y ) ^
Step-by-step explanation:
It is above in a photo .
Vertical Stretch of 7, up 8, reflect over the x axis???
Answer:
f(x) = -(7x) + 8
Step-by-step explanation:
The negative on the outside reflects over the x-axis.
The 7 on the inside stretches the function vertically.
The +8 on the outside moves the function up 8.
4/3 ÷ 5/3
Answer must be in simplest form.
I need with this math question
Answer:
h(-2) = 224
Step-by-step explanation:
PLEASE HELP!! 3 IN 1
1.solve and simplify 2/7 Divided by 4/5
2. Convert the fraction to a decimal 38/333
3. Convert the fraction to a decimal 12/111
Answer:
1. D
2.B
3.0.1081 (the one with a line over it)
Lamar is solving the equation x^2 - 12x = -6 by completing the square. Which
shows Lamar's next step and the solution to the equation?
Answer:
Lamar's next step is x^2 — 12x + 6 = 0
The solution to the equation is x = ± 6√30
Step-by-step explanation:
Solve the equation -13=m/-5
Answer:
m = 65
Step-by-step explanation:
Given
- 13 = [tex]\frac{m}{-5}[/tex] ( multiply both sides by - 5 )
65 = m
Help guys please!!!
terms
constant
exponent
variable
coefficient
1.
2.
4.
15x2
303
terms
Answer:
Below,...!
Step-by-step explanation:
1 = Variable
2 = Exponent
3/4 = Coefficient
1. True
2. False
3. True
4. FaLSE
Simplify 4 + (-3-8).
Answer:
4 + (-3-8)
4 + (-11)
4 (+ × -) 11
4 - 11
- 7
Therefore the answer is -7
Answer:
4 + (-3-8)
4 + (-11)
4 (+ × -) 11
4 - 11
- 7
Therefore the answer is -7
help me find x
help please
Answer:
[tex]4\sqrt{6}[/tex]
[tex]\frac{sin\left(90\right)}{x}=\:\frac{sin\left(60\right)}{\left(\frac{\left(6\cdot \:sin\left(90\right)\right)}{sin\left(45\right)}\right)}[/tex]
Step-by-step explanation:
PLEASE HELP!!!!!
Need hELP ASAP
Answer:
bro please help me make me brianliest I think c
Subtract.
5/23 - 4/23
(Type an integer or fraction.)
Answer:
1/23
Step-by-step explanation:
5/23 - 4/23 would be 1/23. When the denominators of the fractions are the same, you can just subtract the numerators.