Answers
Answer:
1) [tex]\frac{12.2}{sin(54)}[/tex] which rounds to 15.1
2) [tex]\frac{12.2}{cos(54)}[/tex] which rounds to 20.8
Step-by-step explanation:
1) We're going to have to use the trig ratios for this. We know that sin(x) = [tex]\frac{opposite}{hypotenuse}[/tex] (opposite side over the hypotenuse). In this case, we know that angle h = 54 and the side opposite to angle h = 12.2, and we're trying to find the hypotenuse. If we label the hypotenuse as x, then we can say that sin(H) = [tex]\frac{MI}{HI}[/tex]. We can plug in the values we know to get sin(54) = [tex]\frac{12.2}{x}[/tex]. From there, we multiply by x on both sides to get x out of the denominator, and then we divide by sin(54). So, we end up with x = [tex]\frac{12.2}{sin(54)}[/tex] which, if you put it in your calculator (and make sure the calculator is in degree mode) we get approximately 15.1 mi.
2) Follow the same steps that are described in 1), but instead of sin, we're using cos.
Hope this helps! Let me know if you have any further questions!
Related Questions
Question 7 of 27
Which of the following is an element in the sample space for first rolling a
number cube and then tossing a coin?
Answers
Answer:
TH is an element on the sample space for first rolling a die and then tossing a coin. A coin has both heads and tails.
The sample space for rolling a number cube and then tossing a coin is:
{(1, H), (1, T), (2, H), (2, T), (3, H), (3, T), (4, H), (4, T), (5, H), (5, T), (6, H), (6, T)}
The elements can be any of the elements in the sample space.
What is sample space?It is the total number of possible outcomes from a given set.
We have,
The sample space for rolling a number cube and then tossing a coin consists of all possible outcomes from rolling the number cube and tossing the coin.
Each outcome is a pair consisting of a number from 1 to 6 (the possible outcome from rolling the number cube) and a head or tail (the possible outcome from tossing the coin).
Therefore, an element in the sample space can be represented as an ordered pair (n, h/t), where n is the number rolled on the number cube and h/t is the outcome of the coin toss (either head or tail).
So,
The sample space for rolling a number cube and then tossing a coin is:
{(1, H), (1, T), (2, H), (2, T), (3, H), (3, T), (4, H), (4, T), (5, H), (5, T), (6, H), (6, T)}
For example, (3, H), (6, T), (1, H), and (4, T) are all elements in the sample space.
Thus,
The sample space for rolling a number cube and then tossing a coin is:
{(1, H), (1, T), (2, H), (2, T), (3, H), (3, T), (4, H), (4, T), (5, H), (5, T), (6, H), (6, T)}
Learn more about sample space here:
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What is 63.48 rounded off to 1 decimal place?
Answers
Answer:
63.5
Step-by-step explanation:
A circle has a radius of 2 feet. What is the length of the arc subtended by a 15 degree central angle?
Answers
Answer:
Step-by-step explanation:
length = Pi.radius.15degree/180degree
= Pi.2.15/180 = about 0,5 feet
The length of the arc that is subtended by 15° is: 0.5 ft.
What is the Arc Length in a Circle?Formula for the arc length in a circle with a radius of r and a central angle of ∅ is, ∅/360 × 2πr.
Given the following:
r = 2 ft∅ = 15°Arc length = 15/360 × 2π(2)
Arc length = 0.5 ft.
Thus, the length of the arc that is subtended by 15° is: 0.5 ft.
Learn more about the arc length on:
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Add [25+(-13)+(-17) using associative property
Answers
Answer:
[25+(-13)+(-17)
25-13-17
-5
what value of x makes this preportion true? (2.12.3) (15 points)
Answers
Answer:
A
Step-by-step explanation:
Given
[tex]\frac{x}{6}[/tex] = [tex]\frac{36}{24}[/tex] ( cross- multiply )
24x = 216 ( divide both sides by 24 )
x = 9 → A
what is the quotient
4/5 ÷ 1/10
Answers
Answer:
4/5 ÷ 1/10 = 40/5 as simplified as 8/1 in fraction form.
4/5 ÷ 1/10 = 8 in decimal form.
This calculator, formula, step by step calculation and associated information for fraction 4/5 divided by 1/10 may help students, teachers, parents or professionals to learn, teach, practice or verify such division between two fractions calculations efficiently.
Step-by-step explanation:
hope it helps...
Answer:
8/1
Step-by-step explanation:
4/5 change × 10/1= 8/1 hope helpful answer to your question have a good time to you
12 points!! Please help out if you can! Means so much!!
Answers
Answer:
(2w+2)(w+8) ≤ 100
Step-by-step explanation:
What percent of all students are middle schools
Answers
42% of all students are in middle school.
Name the identical triangles and measurement of side BA
Answers
Step-by-step explanation:
BE/BC=BD/BA
tHE TWO SIMILAR TRIANGLES ARE BED AND BC. tHE PROPORTION ABOVE REPRESENTS USE OF THE TWO SIMILAR TRIANGLES.
4/(4 + 10) = 5/(5+X) Cross Multiply
4(5+x) = 5(4+10)m
20 +4x=20 +50 subtract 20 from both sides
4x = 50 divide by 4
x =12.5
Atividade 12 Observe o sistema de equações abaixo. {m−3n=16m+5n=−8 Quais são os valores de "m" e "n" que satisfazem esse sistema de equações? m=1en=3. m=7en=–3. m=52en=–12. m=–20en=–12.
Answers
Responder:
m = 7; n = - 3
Explicação passo a passo:
Dada a equação:
m − 3n = 16m + 5n = −8
Resolvendo a equação:
m − 3n = 16 - - - (1)
m + 5n = - 8 - - - (2)
Subtraia 1 de 2
m - m - 3n - 5n = 16 - - 8
-3n - 5n = 16 + 8
-8n = 24
n = 24 / - 8
n = - 3
Coloque n = - 3 em (1)
m − 3n = 16
m - 3 (-3) = 16
m + 9 = 16
m = 16 - 9
m = 7
Which best describes the relationship between the line that passes through the points (1, -6) and (3,-2) and the line
that passes through the points (4, 8) and (6, 12)?
A. parallel
B. neither perpendicular nor parallel
C. same line
D. perpendicular
Answers
B neither perpendicular nor parallel
Answer:
B
Step-by-step explanation:
B. neither perpendicular nor parallel
because, the line are not crossing nor are they aside from each other.
Priyanti ate 150 raisins in five days. If she ate 7 more raisins each day than she did the previous day, how many raisins did she eat on
a. the third day?
b. the first day?
Answers
Answer:
this means she ate an average of 30 raisins each day
so she ate 30 on the third day
so the amount she ate each day is like this
1. 16
2. 23
3. 30
4. 37
5. 44
16 + 23 +30 +37 +44=150
Answer:
a. 30 b. 16
Step-by-step explanation:
n=number of days
a1= raisins she at on 1st day
d=increase per day
n(a1+an)/2
5(a1+a1+d(n-1))/2=150
5(2a1+4d)=300
d=7, 10a1+20(7)=300
a1+14=30
a1=16
a. a1+2d 16+14=30 b. 16
classify the expression by both degree and terms 2x4 - x +5
Answers
Answer:
x=3
Step-by-step explanation:
Show √7 , √5 on a number line.
please hurry up my cissy and oppa
Answers
Answer:
Draw the number line like in the picture.
Step-by-step explanation:
√5 is about 2.236, meaning it's kind of close to 2.25.
√7 is about 2.646, meaning it's very close to 2.625.
solve for x
7x/2+5=8
o x=6/7
o x=26/7
o x=21/2
o x=91/2
Answers
Answer:
x = 6/7
Step-by-step explanation:
7x/2+5=8
Subtract 5 from each side
7x/2+5-5=8-5
7x/2 = 3
Multiply each side by 2/7
2/7 * 7/2x = 3*2/7
x = 6/7
[tex]\huge{\boxed{\bold{ANSWER}}}[/tex]
╭⋟───────────────
[tex] \frac{7x}{2} + 5 = 8 \\ \frac{7x}{2} = 8 - 5 \\ \frac{7x}{2} = 3 \\ 7x = 3 \times 2 \\ 7x = 6 \\ x = \frac{6}{7} [/tex]
So, the answer is [tex]\boxed{x = \frac{6}{7}}[/tex]
───────────────⋞╯
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐
Drag the right word to the word that means the opposite
multiply
Answers
Answer:
divide is the right and exact antonym(opposite word) from multiply according to maths.
Step-by-step explanation:
this is 100% correct!
Answer:
divide
hope this helps you.
a)Convert 7.5 cm into m b) convert 2 m into mm c) Convert 5 m into cm d) convert mg into 9 e)Convert 1.5 mg into kg f)convert 1 day into sec g)Convert 5 hour into sec
Answers
Answer:
0.075 metre
2000 mm
500 cm
0.001 gram
1.5 × 10-6 kilogram
86400 second
18000 second
Step-by-step explanation:
hope it helps
Answer:
a) 0.075 m
b) 2000 mm
c) 500 cm
d) ?
e) 0.0015 kg
f) 86400 seconds
g) 18000 seconds
PLEASE HELP!! I’ve added an attachment. Please help me find the type of statement for this mathematical question. TYSM!!
Answers
Answer:
Step-by-step explanation:
Statements Reasons
1). AD ≅ BC 1). Given
2). ∠D ≅ ∠C 2). Given
3). ∠DEA ≅ ∠CEB 3). Vertically opposite angles
4). ΔADE ≅ Δ BCE 4). AAS postulate of congruence
5). AE ≅ BE 5). CPCTC
Hence, proved.
4. The expression (3x –8)(2x+5)-(x+1)(2x+5) can be written as the product of 2x+5
with what other binomial?
(1) 4x-7
(3) 2x-7
(2) 2x-9
(4) 4x-9
Answers
Answer:
option 3 : (2x - 7 )
Step-by-step explanation:
ax + bx = x(a+ b)
a(x+ y) + b(x+y) = (x+y)(a+b)
[tex](3x - 8 ) ( 2x + 5) - (x + 1)(2x + 5)\\\\(2x+5)[ (3x - 8) - (x+1) ][/tex] [ (2x + 5) is common is both terms ]
[tex](2x+ 5)(3x -8 -x + 1)\\\\(2x+ 5)(2x - 7)[/tex]
Therefore , the binomial is ( 2x - 7)
Using the following image, find GH given HI = 1 and GI =
= 9.
Answers
Answer:
8
Step-by-step explanation:
Answer:
[tex]{ \tt{GH =GI - HI }} \\ = 9 - 1 \\ GH = 8[/tex]
How many wax warmers will she make when she makes 77 candles
A.75
B.55
C.40
D.69
Answers
Each number on the right side is going up by 5, so 11 x 5 = 55
Answer: B. 55
For what values of x is the expression below defined?
x +3 + x1 - x
O A. 35xs1
O B. 3 > XS-1
O C. 3 >x>1
O D. -3 sx< 1
Answers
Answer:
D. - 3 ≤ x < 1
Step-by-step explanation:
The numerator cannot be the square root of a neg. no.
So, x + 3 ≥ 0 or x ≥ -3
The denominator cannot be a neg. no. or 0.
So, 1 - x > 0
1 > x or x < 1
So, altogether - 3 ≤ x < 1
Therefore, D is the correct answer.
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Which equation shows the distributive property? (a) 6 x 3 + 6 x 8 = 6 x (3 + 8) (b) 5 + (22 + 19) = (5 + 22) + 19 (c) 20 x 10 = 10 x 20 (d) 45 + 7 = 7 + 45
help me please
Answers
Find the slope between (2, 10) and (9, 1). Substitute in the following numbers that are missing
Answers
Answer:
Rise (1-10)=-9
Run=(9-2)=7
Step-by-step explanation:
The slope is Rise/Run = -9/7
If the cos of an angle is .75, what is the csc?
A. 1/√(5)
B. 9/√(6)
C. 6/√(2)
D. 3/√(9)
E. 4/√(7)
F. 2/√(3)
Answers
Answer: Choice E. 4/sqrt(7)
This is the same as writing [tex]\frac{4}{\sqrt{7}}[/tex]
=================================================
Explanation:
0.75 = 3/4
Recall that cosine is the ratio of adjacent over hypotenuse.
That means if cos(theta) = 3/4, then the adjacent is 3 units and the hypotenuse is 4 units.
Through the pythagorean theorem, we would then find that
a^2+b^2 = c^2
a = sqrt(c^2 - b^2)
a = sqrt(4^2 - 3^2)
a = sqrt(7)
This is the opposite side of reference angle theta.
From here, we can say
csc(angle) = hypotenuse/opposite
csc(theta) = 4/sqrt(7)
which points to choice E as the final answer.
Solve -2x + 6 = -20. -7 -13 7 13
Answers
Answer:
13
Step-by-step explanation:
-2x + 6 = -20
Step 1 subtract 6 from both sides
6 - 6 cancels out
-20 - 6 = -26
We now have -2x = -26
Step 2 divide both sides by -2
-2x/-2 = x
-26/-2 = 13
We're left with x = 13
if α and β are the zeroes of the polynomial 3x^2 - 8x − 3 then find the value of i) α^2 + β^2 ii) α^-1 + β^-1
Answers
Step-by-step explanation:
the answer is in the above image
Help me solve this problem please
Answers
Answer:
actually what is this is you is this a geometry, trigonometry I don't know what to call
The length of the base of an isosceles triangle is x. The length of a leg is 3x-4. The perimeter of the triangle is 97. Find x.
Answers
Answer I do not know i am not there yet i am sorry
Step-by-step explanation:
:(
Sanjana wants to buy a computer that she can use for school next year which is 9 months away. She discovers that she can buy a computer for $400 at a discount electronics store in town. How much does Sanjana have to save every MONTH to buy the computer? ANSWER: $400 / 9 months = $44.44/mo How much does Sanjana have to save every WEEK to buy the computer? ANSWER: $44.44 / 4 weeks = $11.11/wk How much does Sanjana have to save every DAY to buy the computer? ANSWER: $11.11 / 7 days = $1.59/day
Answers
Answer: ANSWER: $400 / 9 months = $44.44/mo How much does Sanjana have to save every WEEK to buy the computer? ANSWER: $44.44 / 4 weeks = $11.11/wk How much does Sanjana have to save every DAY to buy the computer? ANSWER: $11.11 / 7 days = $1.59/day
Step-by-step explanation:
