Answer:
74.3 and 105.7
Step-by-step explanation:
In ΔUVW, v = 39 inches, u = 37 inches and ∠U=66°. Find all possible values of ∠V, to the nearest 10th of a degree.
U
V
W
u = 37
v = 39
66°
?°
\frac{\sin A}{a}=\frac{\sin B}{b}
a
sinA
=
b
sinB
From the reference sheet (reciprocal version).
\frac{\sin V}{39}=\frac{\sin 66}{37}
39
sinV
=
37
sin66
Plug in values.
\sin V=\frac{39\sin 66}{37}\approx 0.9629263
sinV=
37
39sin66
≈0.9629263
Evaluate.
V=\sin^{-1}(0.9629263)\approx 74.35\approx 74.3^{\circ}
V=sin
−1
(0.9629263)≈74.35≈74.3
∘
Inverse sine and round.
\text{Quadrant II: } 180-74.3=105.7^{\circ}
Quadrant II: 180−74.3=105.7
∘
Sine is positive in quadrants 1 and 2.
\text{Check for possibility:}
Check for possibility:
No triangle's angles may add to more than 180.
66+74.3=140.3^{\circ}\leftarrow \text{Possible}
66+74.3=140.3
∘
←Possible
Less than 180.
66+105.7=171.7^{\circ}\leftarrow \text{Possible}
66+105.7=171.7
∘
←Possible
Less than 180.
\text{Answer: }74.3^{\circ}\text{ and } 105.7^{\circ}
Answer: 74.3
∘
and 105.7
∘
The possible value of the angle XV, to the nearest 10th of a degree in the triangle UVW, where v = 39 inches, u = 37 inches and ZU=66º is 74.4°
What is the law of sine?
The law of sine is nothing but the relationship between the sides of the triangle to the angle of the triangle (oblique triangle).
It can be given as,
[tex]\dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}[/tex]
Here (A,B,C) are the angle of the triangle and (a,b,c) are the sides of that triangle.
In triangle UVW,
v = 39 inches, u = 37 inches Angle U=66º.Put the values in the formula of sine law,
[tex]\dfrac{\sin V}{v}=\dfrac{\sin U}{u}\\\dfrac{\sin V}{39}=\dfrac{\sin 66}{37}\\\sin V=\dfrac{\sin 66}{37}\times39\\V=\sin^{-1}(0.9629)\\V\approx 74.4^o[/tex]
Thus, the possible value of the angle XV, to the nearest 10th of a degree in the triangle UVW, where v = 39 inches, u = 37 inches and ZU=66º is 74.4°
Learn more about the sine law here;
https://brainly.com/question/2264443
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Help please I give you a cookie
The cross section of a water bin is shaped like a trapezoid. The bases of the trapezoid are 22 feet and 14 feet long. It has an area of 54 square feet. What is the height of the cross section?
Answer:
h = 3 feet
Step-by-step explanation:
Given that,
The bases of trapezoid are 22 feet and 14 feet long.
The area of trapezoid is 54 square feet.
We need to find the height of the cross section. The formula for the area of trapezoid is given by :
[tex]A=\dfrac{1}{2}(\text{sum of parallel sides})\times h\\\\54=\dfrac{1}{2}\times (22+14)\times h\\\\54=\dfrac{1}{2}\times 36\times h\\\\54=18h\\\\h =\dfrac{54}{18}\\\\h=3\ feet[/tex]
So, the height of the cross section is 3 feet.
Mrs. Jones bakes 100 cookies. She is going to split them into groups of 5 to sell at a bake sale. Which equation shows how many bags she will need? Use b for bags.
Answer:
100/5=b
Step-by-step explanation:
do 100 divided by 5 then that will be your answer, b
Divide 2 1/2 by 1/4 ok please
Answer:
10
Step-by-step explanation:
your answer is 10 I worked it out and it's correct
Solve for x. Assume that lines which appear to be diameters are actual diameters.
Answer:
x = 7
Step-by-step explanation:
[tex](4x + 2) \degree = 360 \degree - (85 + 40 + 75 + 130) \degree \\ \\ (4x + 2) \degree = 360 \degree - 330 \degree \\ \\ (4x + 2) \degree = 30 \degree \\ \\ 4x + 2 = 30 \\ \\ 4x = 30 - 2 \\ \\ 4x = 28 \\ \\ x = \frac{28}{4} \\ \\ x = 7[/tex]
solve -3-(-5)+(-2)
Answer:
[tex]0 \: is \: the \: answer[/tex]
Step-by-step explanation:
1) Remove parentheses.
[tex] - 3 + 5 - 2[/tex]
2) Simplify -3 + 5 to 2.
[tex]2 - 2[/tex]
3) Simplify.
[tex]0[/tex]
Therefor the answer is 0.
Whats y=18x pls helppp
Linear Equations & Functions -
Basically, this equation is meant for functions and graphing functions.
[tex]y = 18 \times \: x[/tex]
x,y
2,36
5,90
You could also use this to find the slope:
y1-y2
--------
x1-x2
:
-54
-----
-3
=18
You could also graph it.
7¼× 8/9×3/4
find the sum
Answer:
Step-by-step explanation:
[tex]7\frac{1}{4}*\frac{8}{9}*\frac{3}{4}=\frac{29}{7}*\frac{8}{9}*\frac{3}{4}\\\\=\frac{29*8*3}{7*9*3}\\\\=\frac{29*2*1}{7*3*1}\\\\=\frac{58}{21}\\\\=2\frac{16}{21}\\[/tex]
Select the correct answer.
A glass case is in the shape of a rectangular prism. The volume of the case is 4/125 cubic foot. How many cubic blocks with a side length of
*1/5 foot would be required to find the volume of the glass case?
A. 2
B. 3
C. 4
D. 5
Step-by-step explanation:
4 cubic blocks would be required to find the volume of the glass case.
Answer:
4
Step-by-step explanation:
Copy the shape and fill in the missing angle. Sow the work. Thanks.
Answer:
The first triangle can be solved using the triangle sum theorem.
There is a vertical angle, so 75 is the angle at the bottom left. 45 is also a vertical angle. Now we have 75+45+x=180, where x is the missing angle. x is 60.
A straight line = 180 degrees, so 60+79+y, where y is unknown, is equal to 180. y is 41. Now use the triangle sum theorem for the triangle to the right. 41+68+z, where z is unknown, = 180. Z is 71.
Now the last part is to find the question mark. A straight line is 180 degrees, so 71+"?" is 180. Simplify to find that "?" is 109.
Can someone help me with this?
Answer:
a) BD = 5
b) FD = 13
Step-by-step explanation:
For both questions we follow pythagoras therom.
For the first one we do 3^2 +4^2 = 25 and then we root this answer to 5
For the second we have to find the base of GD in order to find FD. GD will be 4^2+12^2 which equals to 160 and then you root.
Finally, we can find FD which is sqaure root of 160^2 + 3^2 = 169. The square root of 169 is 13. Answer is 13.
Answer:
Step-by-step explanation:
AD =BC = FG = EH = 3
AB = DC = EF =HG = 4
BF =AE = DH = CG = 12
Use Pythagorean theorem,
Hypotenuse² = base² +altitude²
BD² = DC² + BC²
= 4² + 3²
= 16 + 9 = 25
BD = √25
BD = 5
DG² = DC² + CG²
= 4² + 12²
= 16 + 144
= 160
FD² = DG² + FG²
= 160 + 3²
= 160 + 9
= 169
FD = √169 = 13
FD = 13
How do you do this???
Answer:
Step-by-step explanation:
estimate, appraise, evaluate, value, rate, assess mean to judge something with respect to its worth or significance.
Answer:
1.8
Step-by-step explanation:
So [tex]log_{5}[/tex] 16 is [tex]log_{5}[/tex] 4(4) so [tex]log_{5} 4 + log_{5} 4[/tex] = .9+.9=1.8
Can somebody actually help im so lost rn
Answer:
M-> R, O -> U, and P -> G
Step-by-step explanation:
Since the triangles are congruent (equal), do you see how it is a mirror image so M is mapped to R, O to U, and P to G, since those are the corresponding points
What is the slope-intercept equation for this
standard form equation?
(Y-intercept needs to be positive)-
(Giving Brainliest for Correct Answer-)
6x - 3y = 12
Answer:
Y = 2x - 4
Slope is 2.
Y-intercept is -4.
Step-by-step explanation:
To find slope in standard form, take -A/B. So 6 is A, -3 is B. -(6/-3) = 2.
And to find the y-int, take C/B. C is 12. So, 12/-3 = -4.
Or you could also rearrange the equation. . .
6x - 3y = 12.Subtract 6 from both sides. -3y = -6x + 12Divide by -3 to isolate the y. y = 2x - 4.please help!! fast!! -Geometry- ** will make you brainliest **
abcd is a parallelogram
Step-by-step explanation:
so yiu gotta like 1 angle to the 2 angle buy thats seprare from the 3 angle to the 4 angle
Felicity’s dog eats no more than two cups of dog food per day. Felicity’s dog eats at least one-quarter cup more than one-half of the amount Martin’s dog eats. If the amount of food that Martin’s dog eats is represented by using m, which inequality represents the situation?
2 greater-than-or-equal-to one-half m + one-fourth
2 less-than-or-equal-to one-half m + one-fourth
2 + one-fourth greater-than one-half m
2 minus one-fourth greater-than one-half m
Answer:
It’s A
Step-by-step explanation:
Did the quiz
im trying to help my little brother with his homework and I don't remember how to convert 54 to 5/4
Answer:
divide 54 by 9, and you get 6. this is because for every 5 sam gets bethan will get 4. if you add, that, you will get the total amount for 1 share. since there are 6 shares, you multiply that by the amount of eros sam and bethan gets each share.
Step-by-step explanation:
divide 54 by 9, and you get 6. this is because for every 5 sam gets bethan will get 4. if you add, that, you will get the total amount for 1 share. since there are 6 shares, you multiply that by the amount of eros sam and bethan gets each share.
A student earns an 80% on their science test. If she got 20 questions correct, how many total were on the test?
heLP PLS I MARK BRAINLIEST ALSO PLEASE INCLUDE STEPS ON IT
Solving a Real-World Problem Involving Surface Area
A rectangular prism. A rectangle has a base of 14 inches and height of 17 inches. A rectangle has a base of 15 inches and height of 14 inches. A rectangle has a base of 14 inches and height of 8 inches. 2 triangles have a base of 15 inches and height of 8 inches.
Devon wants to build a ramp with the dimensions shown. How much wood does he need?
470 in.2
560 in.2
568 in.2
680 in.2
Answer:
second one
Step-by-step explanation:
can you help me with my question
Answer:
D
Step-by-step explanation:
I DID THE TEST RIGHT NOW
Please help with this geometry question
Answer:
I think it's 8ft. Hope it helps.
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answer:
34.12
Step-by-step explanation:
Plug in the given value (36) for the variable x. Given the order of operations, multiply 36 x 0.80 (which equals 28.8) and add 5.32 (which makes the answer 34.12)
I need help to solve it
Answer:
She will earn £9.01 per hour after the pay rise
Step-by-step explanation:
Here, we want to calculate a value, given the percentage of the pay rise
From the question, the percentage is 6%
The pay rise is thus;
8.50 + 6% of 8.50
= 8.50 + (6*8.5)/100
= 8.50 + 0.51
= £9.01
1.the sum of three consecutive odd number is 177 find the number
2. find three consecutive even
number which add 1524
3.when a number is doubled and the added to 13 the result is 3.8 find the number
answer step by step
Answer:
1.the sum of three consecutive odd number is 177 find the number
let three consecutive odd number be x,x+2&,x-2.
by question
answer
x+x-2+x+2=177
3x=177
x=177/3=59
x-2=59-2=57
x+2=59+2=61
required no are 59,57&61
2. find three consecutive even
number which add 1524
answer
let three consecutive even
number be x-2,x+2&x
by question
x-2+x+2+x=1524
3x=1524
x=1524/3=508
x-2=508-2=506
x+2=508+2=600
required no are 508,506&600
3.when a number is doubled and the added to 13 the result is 3.8 find the number
answer
let no be x
by question
2x+13=3.8
2x=3.8-13
x=-9.2/2=-4.6 is the required number
Thomas deposited $800 into two different accounts.
- He deposited $450 into an account that pays 4.5% simple interest.
- He deposited $350 into an account that pays 4.25% compounded annually.
If Thomas does not deposit additional money into the accounts and he doesn't withdraw any money from the accounts, which is closest to the total balance he will have in the accounts at the end of 2 years?
Group of answer choices
A. $820.38
B. $1,220.88
C. $871.79
D. $870.88
The total balance he will have in the accounts at the end of 2 years
is D. $870.88.
What are simple and compound interests?Simple interest is often a predetermined percentage of the principle amount borrowed or lent paid or received over a specific time period.
Borrowers are required to pay interest on interest in addition to principal since compound interest accrues and is added to the accrued interest from prior periods.
The formula for simple interest is SI = (p×r×t)/100 and the formula for compound interest is A = P(1 + r/100)ⁿ.
∴ P + (p×r×t)/100 + P(1 + r/100)ⁿ is the total amount after 2 years.
= 450 + (450×4.5×2)/100 + 350(1 + 4.25/100)².
= 450 + 40.5 + 350(1.0425)².
= 490.5 + 380.38.
= $870.88.
learn more about compound interest here :
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hello longlove......?
???
follow me
Answer: who me?
Step-by-step explanation:
Oh sure thing. XD
plz help me with this math question
Answer:
79
Step-by-step explanation:
Order of operations GERMDAS
Grouping: no grouping
Exponents: 9²=81 so 6÷3+81-4
Radicals: no radicals
Multiplication: no multiplication
Division: 6÷3=2 so 2+81-4
Addition: 2+81=83 so 83-4
Subtraction: 83-4=79
Answer:
79
Step-by-step explanation:
6/3+9^2-4 9^2= 81 6/3+81-4 6/3 = 2 2+81-4= 79
f(x)= 3x^2
g(x) =7x+4
f(g(4))=____
What is the volume of the prisms below?
What equation would you use for the last picture?
Answer:
8) 131.118in^3
9) 18cm^3
Step-by-step explanation:
8) Volume of the prism = Length * Width * height
Volume of the prism = 4.1in * 8.2in * 3.9in
Volume of the prism = 131.118in^3
Hence the volume of soil that will fill the prism is 131.118in^3
9) Volume of the triangular prism = Base Area * Height of prism
Base Area = 1/2bh
Base Area = 1/2 * 4 * 3
Base Area = 6cm^2
Height of the prism = 3cm
Volume of the prism = 6cm^2 * 3cm
Volume of the prism = 18cm^3
Maritza worked at an ice cream parlor selling milkshakes and ice cream cones. Altogether, she sold 149 milkshakes and ice cream cones. The milkshakes sold for $4 and the ice cream cones for $3. The total amount collected was $533. How many milkshakes and ice cream were sold?
Answer:
86 milkshakes and 63 ice cream were sold
Step-by-step explanation:
Let the amount of milkshake sold be x
Let the amount of ice cream sold be y
If she sold 149 milkshakes and ice cream cones then;
x+y = 149 ... 1
If the milkshakes sold for $4 and the ice cream cones for $3, with total amount #533 collected then;
4x + 3y = 533 ....2
Solve both equations simultaneously
x+y = 149 ... 1 * 4
4x + 3y = 533 ....2 * 1
________________________
4x+4y = 596
4x+3y = 533
Subtract
4y-3y = 596-533
y = 63
since x +y = 149
x+63 = 149
x = 149 - 63
x = 86
Hence 86 milkshakes and 63 ice cream were sold
What is the value of n?