Answer:
x ≈ 41.6°
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan x = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{JK}{KL}[/tex] = [tex]\frac{80}{90}[/tex] = [tex]\frac{8}{9}[/tex] , then
x = [tex]tan^{-1}[/tex] ( [tex]\frac{8}{9}[/tex] ) ≈ 41.6° ( to the nearest tenth )
Trigonometry I need help please
Answer:
10.7°
Step-by-step explanation:
SOH CAH TOA
Tan(BCA) = x/y
= 4/21
BCA= Tan`¹(4/21)
= 10.7856
to 3SF = 10.7°
A box contains four bags of sugar. The total mass of all four bags is 6 kg. What is the mass of each bag in grams?
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Answer:
√6/2+1
Step-by-step explanation:
multiplying by √6/√6, we get √6(3+√6)/6=(3√6+6)/6=√6/2+1
An open-top box is to be constructed from a sheet of tin that measures 36 inches by 20 inches by cutting out squares from each corner as shown and then folding up the sides. Let V(x) denote the volume of the resulting box.
Answer:
[tex]V(x)=4x^3-112x^2+720x[/tex]
Step-by-step explanation:
[tex](36-2x)(20-2x)x[/tex]
[tex](720-72x-40x+4x^2)x[/tex]
[tex](4x^2-112x+720)x[/tex]
[tex]4x^3-112x^2+720x[/tex]
Therefore, the resulting volume would be [tex]V(x)=4x^3-112x^2+720x[/tex]
I want a way to solve such a problem
Answer:
none of these is the answer
hope it helps you
Step-by-step explanation:
Hope it will help you...
can you help me solve 4x - 15 = 17 - 4x
[tex]4x-15 = 17-4x\\\\\implies 4x +4x = 17 +15\\\\\implies 8x = 32\\\\\implies x = \dfrac{32} 8\\\\\implies x = 4[/tex]
List the first 5 multiples and find ALL the factors of 16.
Multiples:
Factors:
Answer:
Multiples: 16, 32, 48, 64, 80 Factors: 1, 2, 4, 8 and 16
Step-by-step explanation:
hope this helped :3
Geoff works at a warehouse , earning $17.50 per hour plus a $200 what’s the equation?
Answer:
P = 17.50x + 200
Step-by-step explanation:
x is the number of hours worked
P is how much money Geoff earns
4. This diagram is a straightedge and compass construction of a line perpendicular to line AB passing through point C. Which segment has the same length as segment EA.
a. EC
b. ED
C. BE
d. BD
Answer:
Segment ED has the same length as EA
The line segment which is equal to EA is ED. Therefore, option B is the correct answer.
In the given diagram, a line perpendicular to line AB passes through point C.
What is the tangent to the circle?A tangent to a circle is a line which intersects the circle at only one point. The common point between the tangent and the circle is called the point of contact.
The length of two tangents drawn from an external point to a circle is equal.
From the given figure we can see there are three circles, two large circles and one small circle.
Line segment EA is tangent to a small circle.
The line segment which is equal to EA is ED because ED is another tangent to a small circle from the same external point.
The line segment which is equal to EA is ED. Therefore, option B is the correct answer.
To learn more about the tangent to a circle visit:
https://brainly.com/question/16592747.
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what is the slope of the line?
Answer:
1/2
Step-by-step explanation:
We can use the slope formula to find the slope
m = ( y2-y1)/(x2-x1)
We have two points on the line
(-1,3) and ( 1,4)
m = ( 4-3)/(1 - -1)
= (4-3)/(1+1)
= 1/2
Answer:
Start where the line meets a point. Then go up and over until it meets another.
The answer is 1/2
So go up one and over two. Then other problems such as this one should be pretty straight forward
please help quickly!!!!!!!
If y varies directly with x, determine an equation for the given direct variation. For this question, find the value of the given variable.
Find y when x = 10 if y = 8 when x = 20.
Answer:
y=K*x equation
k=constant of variation
y= 4 when x = 10
Step-by-step explanation:
8=k*20
divide both sides by 20 to solve for k
2/5=k
y=2/5 *10
y= 4 when x = 10
What are the odds of choosing a blue marble from a bag that contains two blue marbles, one green marble and four red marbles?
Answer:
1/3
Step-by-step explanation:
2 blue 1 green 4 red
Please help me solve this math problem
Answer:
I think it is undefined.
Convert 62% into a fraction
Answer:
62% = 31 / 50
Step-by-step explanation:
62/100
if you need to simplify then it would be 31/50
for 0 ≤ θ < 2 π what are the solutions to sin^2(θ) =2sin^2(θ/2)
Recall the half-angle identity for sine,
sin²(x/2) = (1 - cos(x))/2
Then the given equation is identical to
sin²(θ) = 1 - cos(θ)
Also recall the Pythagorean identity,
sin²(θ) + cos²(θ) = 1
Then we rewrite the equation as
1 - cos²(θ) = 1 - cos(θ)
Factoring the left side, we have
(1 - cos(θ)) (1 + cos(θ)) = 1 - cos(θ)
and so
(1 - cos(θ)) (1 + cos(θ)) - (1 - cos(θ)) = 0
and we factor this further as
(1 - cos(θ)) (1 + cos(θ) - 1) = 0
which gives
cos(θ) (1 - cos(θ)) = 0
Then either
cos(θ) = 0 or 1 - cos(θ) = 0
cos(θ) = 0 or cos(θ) = 1
[θ = arccos(0) + 2nπ or θ = -arccos(0) + 2nπ]
… or [θ = arccos(1) + 2nπ or θ = -arccos(1) + 2nπ]
(where n is any integer)
[θ = π/2 + 2nπ or θ = -π/2 + 2nπ] or [θ = 0 + 2nπ]
In the interval 0 ≤ θ < 2π, we get three solutions:
• first solution set with n = 0 ⇒ θ = π/2
• second solution set with n = 1 ⇒ θ = 3π/2
• third solution set with n = 0 ⇒ θ = 0
So, the first choice is correct.
What is the quotient of the following division problem?
71= 2 = ?
O A. 37 11
B. 35r1
O C. 35r2
O D. 34 r1
Answer:
35 remainder 1
Step-by-step explanation:
71 ÷ 2 = 35.5
The 35 is the whole number part of your answer. The .5 part of the answer is .5 of 2, which is 1
OR you can think that
35 × 2 =70. The 1 is the remaining part from 71.
The length of a pool is twice its width. What is the ratio of the length to the width of the pool?
Answer:
2:1 OR as a fraction, 2/1
Step-by-step explanation:
We don't know the actual length or width of this pool, like we don't know a number, as in exactly how many feet or meters long or wide this pool is. For this question, we don't need to know. "Twice" means 2 times. So if we consider the width (which we don't know) and call it w, then the length, (which we also don't know) which is two times as long, would be 2w
Width = w
Length = 2w
Ratio of Length to Width is
2w:w or as a fraction 2w/w
This can be simplified to
2:1 or as a fraction 2/1
How do you solve this?
2x + 16y = -8
x + 8y = 7
The answer’s choices are no solution or infinite solution. please help.
Answer:
NO SOLUTION
Step-by-step explanation:
By the give me brainlist please
Help me with this question
Answer:
LETS
GO
BRANDON
Step-by-step explanation:
Which, if any, of the following would not generate a sphere?
A. Rotating a circle 180° about its diameter
B. Rotating a semicircle 360° about its diameter
C. Rotating a circle 360° about any point on the circle
D. All of the above would generate a sphere
Answer:
i think D. All of the above would generate a sphere is answer
Find the Product of 7/9of27
7 x 27 189
= -------------------
9 x 1 9
3. What is the exact area of triangle ABC? Use special right triangles to help find the base of the triangle. Show your work.
The exact area of triangle ABC is 93.51 cm².
The given parameters;
Height of the triangle, h = 18 cmThe base of the triangle is calculated by using trigonometry ratio as follows;
[tex]tan (30) = \frac{b}{18} \\\\[/tex]
where;
b is the base of the triangle ABC[tex]b = 18 \times tan(30)\\\\b = 10.39 \ cm[/tex]
The area of the triangle ABC with the calculated base and given height is calculated as follows;
[tex]A = \frac{1}{2} \times base \times height\\\\A = \frac{1}{2} \times 10.39 \times 18\\\\A = 93.51 \ cm^2[/tex]
Thus, the exact area of triangle ABC is 93.51 cm².
Learn more about area of a triangle here: https://brainly.com/question/23945265
Freddie can mow 3 lawns in 2 hours. Tom can mow 2 lawns in 1 hour. Who should be able to mow Mr. Smith's lawn faster?
Answer:
Step-by-step explanation:
Freddie rate of mowing=3/2=1.5 lawns /hr.
Tom's rate of mowimg=2 lawns/hr
so Tom can mow Smith's lawn faster.
Can someone please help me.
Answer:
make that 30 percent int a fraction and u should know what to do
Step-by-step explanation:
After a party there is 3/4 of a pizza left. You split it evenly between you and 3 friends. What fraction of a pizza does everyone get?
Answer:
3/16
Step-by-step explanation:
3/4÷4=3/16
Since there are 4 people, not 3, divide the remaining pizza by 4.
if 10 people share 5 cookies , how much cookie does each person get
Answer:
1/2
Step-by-step explanation:
5 / 10 = 1/2
Which of the following is equivalent to [picture]
A) a0 + a1 + a2 + a3 + a4 + a5
B) a1 + a2 + a3 + a4 + a5
C) a0 + a1 + a2 + . . .
D) a1 + a2 + a3 + . . . + a∞
Answer:
A) a0 + a1 + a2 + a3 + a4 + a5
Step-by-step explanation:
Answer:
A) a0 + a1 + a2 + a3 + a4 + a5
Step-by-step explanation:
Sin(180-A)/tan(180-A) × cot(90-A)/tan(90+A) × cos(-A)/ cos(270-A) Please solve
so tan = me sun bathing for 2.5 second
Two rectangles are similar. The first has a length of 5cm and a width of 2cm. The second rectangle is an enlargement using a scale factor of 3. What will be the perimeter of the larger rectangle??
Group of answer choices
30 cm
4.666666667 cm
42 cm
21 cm
Answer:
C.) 42 cm
Step-by-step explanation:
When you enlarge the rectangle by a scale of 3, you are multiplying its perimeter by 3
2*2+5*2=4+10=14
14*3=42