A carpenter needs to cut a small triangular pice of wood for part of a jewelry box. He knows the dimension shown and that 0=68°. What is the length of a to the nearest tenth of a centimeter?
Answers
Answer:
36.0 cm
Step-by-step explanation:
use cosine to find the value of a
cos(68) = a/96 Multiply both sides by 96
a = cos (68) * 96
a = 35.96
Round to nearest tenth: 36.0 cm
Answer:
36.0 cm
Hope this helped have an amazing day!
Related Questions
factorize 2xy - 8x + 5y -20
Answers
The factors for 2xy - 8x + 5y -20 is ( 2x + 5 ) ( y - 4 ).
Given 2xy - 8x + 5y -20
By writing like terms on one side
2xy - 8x + 5y - 20
By taking common terms outside we get
2x ( y - 4) + 5 ( y - 4)
By taking common terms we get
( 2x + 5 ) ( y - 4 )
Therefore the factors for 2xy - 8x + 5y -20 is ( 2x + 5 ) ( y - 4 )..
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Rudolph can fly 5 miles in 12 seconds. At
that rate, how many miles can he fly per
minute?
Answers
Answer:
25 mpm
Step-by-step explanation:
60 devided by 12 = 5
5 times 5 = 25 mpm
what is the value of the expression -36 + 7
Answers
Answer:
-29
Step-by-step explanation:
subtract the negative from positve
Contains (1, −3) and has the same stretch factor as
f(x) = 3x2.
Vertex has x-coordinate of −1.
Answers
The obtained quadratic function has the same stretch factor as the given function and contains the given point is y = 3x² + 6x - 12
What is defined as the quadratic function?A quadratic function is one of the following: f(x) = ax² + bx + c, where a, b, and c are positive integers and an is not equal to zero. A parabola is a curve that represents the graph of a quadratic function.
Because a quadratic function is indeed a parabolic curve, we use the standard parabola equation.
y = a(x - h)² + k
where a = stretch factor,
h = x-coordinate of vertex and
k = y-coordinate of vertex.
The quadratic function incorporates the point (1, -3) and has the vertex x-coordinate at x = -1. h = -1 is the answer.
It also has the stretch factor of f(x) = 3x². So, a = 3.
Thus, y = a(x - h)² + k
y = 3(x - (-1))² + k
y = 3(x + 1)² + k
Now, because the quadratic function proceeds through (1, -3), we have
y = 3(x + 1)² + k
-3 = 3(1 + 1)² + k
-3 = 3(2)² + k
-3 = 3(4) + k
-3 = 12 + k
k = -3 - 12
k = -15
Similarly, find the value for y.
y = 3(x + 1)² + k
y = 3(x + 1)² - 15
y = 3(x² + 2x + 1) - 15
y = 3x² + 6x + 3 - 15
y = 3x² + 6x - 12
Therefore, the equation of the quadratic function that contains the given point and has the same stretch factor as the given function is y = 3x² + 6x - 12.
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The complete question is-
Write the equation of the quadratic function that contains the given point and has the same stretch factor as the given function.
Contains (1, −3) and has the same stretch factor as
f(x) = 3x².
Vertex has x-coordinate of −1.
Which number line correctly shows 0.8 + 0.3? Help
Answers
Answer:
search it up please :)
Step-by-step explanation:
The elves ate all 327 cookies in a 1/2 hour. What is the rate in cookies per hour?
Answers
10 minutes to complete helpppp!!!!
Answers
Answer:
that will be the incenter
Step-by-step explanation:
jacob, stephen, and jermaine are hiking up half dome mountain in Yosemite National Park. Stephen has hiked 5.6 kilometers and is at an elevation of 1,920 m. Jacob has hiked 9.8 kilometers and is at an elevation of 2,395 m. Jermaine is 1/4 of the way between Steven and Jacob. How far has jermaine hiked and what is his elevation?
Answers
The distance that Jermaine hiked and his elevation will be 3.85km and 1103.75 m.
How to illustrate the information?From the information, Stephen has hiked 5.6 kilometers and is at an elevation of 1,920 m whole on the other hand, Jacob has hiked 9.8 kilometers and is at an elevation of 2,395 m.
Therefore, since Jermaine is 1/4 of the way between Steven and Jacob. This will be:
= 1/4(5.6 + 9.8)
= 1/4 × 15.4
= 3.85km
The elevation will be:
= 1/4(1920 + 2495)
= 1/4 × 4415
= 1103.75 m
Therefore, the distance that Jermaine hiked and his elevation will be 3.85km and 1103.75 m.
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A life insurance company is offering Anna a $100,000 life insurance policy for
$300. The insurance actuary has calculated that the probability of death within
a year of a 30 year old woman is 0.00064. Determine the expected value of the
insurance policy to Anna.
Answers
Answer 8747744748848833773737374758
Find the midpoint of and label it D. Find the midpoint of and label it E. Record the coordinates of points D and E. When you’re through, draw .
Answers
Answer:
The coordinates of the midpoints are D(1.5, 2.5) and E(3.5, 2.5).
Step-by-step explanation:
What is the sign of the product (-5)(-3)(-8)(-6)? (5 points)
Answers
Answer:
Step-by-step explanation:
(-5)(-3) = 15
(-6)(-8)= 48
(48)(15)= 720
the sign is positive
two negatives = a positive
four negatives = a positive
Answer:
Positive, because the products (–5)(–3) and (–8)(–6) are positive, and the product of two positive numbers is positive
Step-by-step explanation:
Which expression is equivalent to 6x - 5 - 2x + 1?
Answers
Answer: 4x-4 is the correct answer
Step-by-step explanation that is the correct answer
Suppose there are 19 students in the class a teacher at 122 pencils and passes them out to the class estimate the number of pencils in each student will receive
Answers
For
every dog
pet store
there are 3 cats at the pet store. What's the ratio?
Answers
Answer:
1/3?
Step-by-step explanation:
What is the value of x in the diagram below? 2 right triangles are stacked. The bottom triangle has a side length of 9 units and an adjacent angle measure of 30 degrees. The top triangle has a hypotenuse length of x and an angle measure of 45 degrees. StartFraction 18 Over StartRoot 3 EndRoot EndFraction StartFraction 18 StartRoot 2 EndRoot Over StartRoot 3 EndRoot EndFraction StartFraction 18 StartRoot 3 EndRoot Over StartRoot 2 EndRoot EndFraction 18 StartRoot 2 EndRoot Mark this and return
Answers
Answer:
18 sqrt2/ sqrt3
Step-by-step explanation:
Answer:
The answer is B
Step-by-step explanation:
Trust me edge 2022
Find the volume of a right circular cone that has a height of 16.8 in and a base with a
radius of 4.7 in. Round your answer to the nearest tenth of a cubic inch.
Answers
Answer:
Volume of right circular cone is 388.43 in³
Step-by-step explanation:
Height of circular cone = 16.8 in
Radius of circular cone = 4.7 in
We need to find Volume of right circular cone
The formula used for calculating volume of a right circular cone is: [tex]Volume=\pi r^2\frac{h}{3}[/tex]
Putting values and finding volume
[tex]Volume=\pi r^2\frac{h}{3}\\Volume=3.14\times (4.7)^2 \times \frac{16.8}{3}\\Volume=3.14\times 22.09 \times 5.6\\Volume= 388.43 \:in^3[/tex]
So, Volume of right circular cone is 388.43 in³
Mr. Garrison sold 17 pounds of oranges at the flea market. The oranges
sold for $1.78 per pound.
How much did Mr. Garrison receive for the oranges he sold?
( 1pound = $1.75 )
Answers
Using $1.75 per pound he receives $29.75, but using $1.78 per pound he receives $30.26
Please help , Simplify 3 to the power of 8 divided by 3 to the power of 2
Answers
subtract the exponents 8-2=6
3 to the power 6 (3^6)
3^6 is the answer
hope this helped :)
The expression 3⁸ / 3² is equal to 3⁶.
When dividing two numbers with the same base, we subtract the exponents. In this case, we have:
3⁸ / 3²
To simplify, we subtract the exponent of 3² from the exponent of 3⁸:
3⁽⁸⁻²⁾
3⁶
Therefore, 3⁸ / 3² is equal to 3⁶.
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you run 3 miles in 19.5 minutes. your friend runs 2 miles in 13.5 minutes. who is faster you or your friend? how many minutes sooner will the faster runner will finish a mile race?
Answers
So you will be slower than your friend
Also 6min and 30 sec vs 6 min 15 sec for friend
So you’ll finish slower by 15 seconds
Answer:
You are faster. You are 0.25 min faster (15 seconds faster)
Step-by-step explanation:
you 19.5/3 =6.5 minutes per 1 mile
The friend 13.5/2 = 6.75 minutes per 1 mile
you run 1 mile in 6.5 minutes
the friend runs 1 mile in 6.75 min
Madison bought an empty lot for $2000 and later sold it for a 25% profit. how much did she sell it for?
Answers
the way you would solve this is move the decimal point of 25% two places so it would look like .25 then, you would multiply these two numbers together getting an answer of $500 Then you would add the $500 to the $2,000 dollars and get the answer of $2,500
can someone help me on this
Answers
Answer: ur answer is 4
Step-by-step explanation:
what is equivalent to 3 and 1/4 minus negative 5/8
Answers
Answer:
31/8
Step-by-step explanation:
3/1/4 - (-5/8)
13/4 + 5/8
find Lcm of 4 and 8 = 8
multiply their common factors with numerators.
13*2 + 5*1 = 31
=31/8 or 3/7/8 or 3.875
Answer:
3 and 7/8
Step-by-step explanation:
3 1/4 - ( - 5/8 ) = x
13/4 + 5/8 = x
26/8 + 5/8 = x
31/8 = x
x = 3 7/8
Which linear inequality is graphed with y> -+-2 to create
the given solution set?
y>x+1
y
y>x-1
y
Answers
Answer:
c
Step-by-step explanation:
A boat is being towed such that the tow line is at an angle of 30° with respect to the surface of the ocean. If the boat is towed with a force of 50 Newtons for 7,000 meters, approximately how much work is done?
A. 152,000 Joules
B. 175,000 Joules
C. 303,000 Joules
D. 350,000 Joules
Answers
Answer:
C. 303,000 Joules
Step-by-step explanation:
1. use abcos(theta)
a=50
b=7000
theta=30 degrees
2. (50)(7000)cos(30)=303,000
Answer:
C: 303,000 Joules
Step-by-step explanation:
Edge 2020
A silo contains 20 pounds of corn per foot in height. Looking at the model below, about what is the maximum amount of corn the actual silo could hold?
A. 60 pounds
B. 300 pounds
C. 900 pounds
D. 2000 pounds
Answers
Answer: its actually 900
Step-by-step explanation:
In right triangle ABC, m angle B ne m angle C Let sin B = r rand cos B = What is sin C- cos C?
A. r+s
B.r-s
C.r/s
D.s-r
Help pls
Answers
Three students plan to rent a minivan for the weekend and equally share the rental cost. By adding two more people, they can each save $24. How much is the total rent of the car?
Answers
Answer:
Step-by-step explanation:
you have three student then they add two more people right then you just need to muptiply 25 times by 5
The total rent of the car is $15.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, three students plan to rent a minivan for the weekend and equally share the rental cost.
Let the total money to rent a minivan be x.
Now, share of each student = x/3
Adding two more people, they can each save $24.
x/3- (x+2)/5 =24
5x-3(x+2) =24
5x-3x-6=24
2x=30
x=$15
Therefore, the total rent of the car is $15.
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I need a little more help :( 2/3 = ?/9 3/5 = ?/20 2/10 = ?/20 1/3 = ?/6 4/6 = ?/12
Answers
Answer:
2/3 = 6/9
3/5 = 12/20
2/10 = 4/20
1/3 = 2/6
4/6 = 8/12
If AC = 2, CD = 6, and CE = 3, what is BC?
Answers
Answer:
Hello,
Statement: Reasons:
BC/CD = AC/CE 1. Given
∠BCA = ∠ECD 2. Vertical ∠'s =
△ACB ~ △ECD 3. SAS
Hope it helps!
Step-by-step explanation:
Answer:
i believe the answer would be number 4
How oils the following triangle be classified ?
A. Isosceles acute
B. Scalene acute
C. Scalene Antier
D.isosceles obtuse
Answers
the triangle has all different sides and are all less than 90 degrees