Answers
Answer:
The angle m ∠ W = 33°
The length of XZ = 9.8 units
The length of WX = 15.1 units
Step-by-step explanation:
Given
The right-angled triangle ΔWXZ
m ∠ X = 90°m ∠ Z = 57°Hypotenuse WZ = 18We know that the sum of the measure of angles in any triangle is 180°.
Therefore,
m ∠ W + m ∠ X + m ∠ Z = 180°
substiute m ∠ X = 90° and m ∠ Z = 57° in the formula
m ∠ W + 90° + 57° = 180°
m ∠ W + 147 = 180°
m ∠ W = 180° - 147
m ∠ W = 33°
Therefore, the angle m ∠ W = 33°
NOW,
Determining the lengths of WX and XZ
Length XZ
Using the trigonometric ratio
The adjacent to 57° is XZ.
so
cos 57° = adjacent / hypotenuse
substituting adjacent = XZ, and hypotenuse = 18
cos 57° = XZ / 18
XZ = 18 × cos 57°
XZ = 9.80 units
Therefore, the length of XZ = 9.8 units
Length WX
As
m ∠ W = 33°
The adjacent to m ∠ W = 33° is WX.
so
cos 33° = adjacent / hypotenuse
substituting adjacent = WX, and hypotenuse = 18
cos 33° = WX/ 18
WX = 18 × cos 33°
WX = 15.1 units
Therefore, the length of WX = 15.1 units
Summary:
The angle m ∠ W = 33°
The length of XZ = 9.8 units
The length of WX = 15.1 units
Related Questions
what equation is y=4/5x+8 in standard form
Answers
Answer:
4x−5y=−40 I think thats the answer
Al's Cardboard produces cereal boxes and uses the expression 16x ^ 2 + 56x + 24 to determine the volume of each box. The cereal box below was produced by Al's Cardboard and has a width of 8 centimeters ( cm )
Answers
Answer:(8x+24) (2x+1)
Step-by-step explanation:
Answer:d
Step-by-step explanation:
Boba cost $4.00 and left a tip. The total was $4.36. What % did you tip?
Answers
4.36 - 4 = 0.36
for finding tip percentage=
0.36/4 x 100
= 9%
Hope this helps and please mark me as brainliest.
What rational number in fraction form is equivalent to 0.15 ?
Answers
Answer:
0.15 as a fraction is 3/20
Step-by-step explanation:
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Answer:
10x + 5
coefficient goes before the x and the constant is a number by itself
Step-by-step explanation:
From 13 friends to 14 friends
Percent increase
Answers
ANSWER :
about a 1.076% increase
EXPLANATION :
1. Set up your equation
13/100 = 14/x
2. Cross multiply
13x = 1400
3. Divide by thirteen on both sides
x = 107.692307
4. Transform it into percent [ divide by a hundred ]
1.076
In the diagram below, RS and ST are perpendicular.
Which equation represents ST ?
А.
-x+ 3y = 9
В.
3x + y = 13
C
-3x+y=-13
D
3x + y=23
Answers
Answer:
A==−x+3y=9
Step 1: Add -3y to both sides.
−x+3y+−3y=9+−3y
−x=−3y+9
Step 2: Divide both sides by -1.
−x
−1
=
−3y+9
−1
x=3y−9
Answer:
x=3y−9
Sushi was thinking of a number. Sushi doubles it,then adds 20 to get an answer of 27.7 what was the original number
Answers
Answer:
3.85
Step-by-step explanation
7.7 divided by 2 = 3.85
So if you double 3.85 you get 7.7 and then add 20 to 7.7 then you get 27.7
Let the number they are thinking of be X.
They double x , which would be 2x.
They then add 20, which would be 2x +20
So you have 2x + 20 = 27.7
Now we can solve for x:
Subtract 20 from both sides:
2x = 7.7
Divide both sides by 2:
x = 7.7 / 2
x = 3.85
The original number was 3.85
Isaiah is working two summer jobs, making $16 per hour tutoring and $10 per hour clearing tables. Isaiah must earn at least $110 this week. Write an inequality that would represent the possible values for the number of hours tutoring, tt, and the number of hours clearing tables, cc, that Isaiah can work in a given week.
Answers
Answer:
16t + 10c > 110
Step-by-step explanation:
Cost of tutoring per hour = $16
So, cost of tutoring t hours = $16t
Cost of clearing tables per hour = $10
So, cost of clearing tables c hours = $10c
Since, Isaiah must earn at least $110 this week.
Therefore, the required inequality will be given as:
16t + 10c > 110
Jerry lives 3 1/2 miles away from Jake. Jerry and Jake decided to meet half between their houses and then walk to the park together. The park is located 3/5 mile from the halfway point. How far did Jerry walk in all to get to the park?
Answers
Answer: Jerry walked 2 7/20 miles to get to the park
Step-by-step explanation:
1/2 of 3 1/2
1/2 of 7/2 = 7/4
7/4 + 3/5
Find the LCM of the denominator
LCM of 4 and 5 = 20
35/20 + 12/20 = 47/20 = 2 7/20
Jerry walked 2 7/20 miles to get to the park
please help me out ASAP
Answers
3) 5
4) 9
5) 6
6) 8
find the y intercepts I'll mark the brainliest
Answers
Answer:
1. (0,-2)
2. (0,8)
3. (0,7)
4. (0 , [tex]\frac{1}{2}[/tex])
5. (0,-3.5)
6. (0,-4)
7. (0,0)
8. (0,-4)
9. (0,5)
10. (0,0)
Step-by-step explanation:
there are 10 boxes in total, slope is y = mx + b
the slope is always the constant.
constant: number without a variable.
y - intercept:
y = mx + b
if there is nothing after the slope it means the y -intercept is 0
The Kid Laroi
9(x - 2) = 7x + 5 a) true for all values of x b) true for one value of x c) true for no values of x
Answers
Answer:
b) true for one value
Explanation:
If you solve for x, there is only one value of x
Answer:
(b)
Step-by-step explanation:
9(x - 2) = 7x + 5 ← distribute left side
9x - 18 = 7x + 5 ( subtract 7x from both sides )
2x - 18 = 5 ( add 18 to both sides )
2x = 23 ( divide both sides by 2 )
x = [tex]\frac{23}{2}[/tex]
Dana’s new bike cost $180. Her parents agree to pay 60% of the cost if she will pay the rest. How much money will Dana need to save to help pay for the new bike?
Answers
Answer: $72
Explanation:
60%-100%=40%
40%=0.4
0.4x180=72
72=$72
What is the
lcm of 4, 7, and 8?
Answers
Answer:
56
Step-by-step explanation:
4, 7 and 8 all go into 56
Candice is deep-sea diving with two friends. Whitney is exploring a coral reef 56 feet in front of Candice, and Ed is floating on the surface directly above Candice. If Ed and Whitney are 70 feet apart, how far apart are Candice and Ed?
Answers
Answer:
126
Step-by-step explanation:
70
+ 56
126
If Ed and Whitney are 70 feet apart, then Candice and Ed are 42 feet apart.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Given that the Candice is deep-sea diving with two friends
Whitney is exploring a coral reef 56 feet in front of Candice
The distance between Whitney and Candice is 56 feet.
Ed is floating on the surface directly above Candice.
Ed and Whitney are 70 feet apart, we need to find the distance between Ed and candice.
By using Pythagoras theorem we can find this.
70²=56²+x²
4900=3136+x²
Subtract 3136 from both sides
4900-3136=x²
x²=1764
Take square root on both sides
x=42
Hence, If Ed and Whitney are 70 feet apart, then Candice and Ed are 42 feet apart.
To learn more on trigonometry click:
https://brainly.com/question/29002217
#SPJ2
1.
James goes to an arcade.
He has one go on the Teddy Grabber.
He has one go on the Penny Drop.
The probability that he wins on the Teddy Grabber is 0.2.
The probability that he wins on the Penny Drop is 0.3.
(a) Complete the tree diagram.
Teddy Grabber
Penny Drop
Win
0.3
Win
0.2
Lose
Win
Lose
Lose
(2)
Answers
Answer:
Step-by-step explanation:
1.
James goes to an arcade.
He has one go on the Teddy Grabber.
He has one go on the Penny Drop.
The probability that he wins on the Teddy Grabber is 0.2.
The probability that he wins on the Penny Drop is 0.3.
(a) Complete the tree diagram.
Teddy Grabber
Penny Drop
Win
0.3
Win
0.2
Lose
Win
Lose
Lose
(2)
Solve the expression (-3) (-2)(3)(4)
Answers
Answer:
The answer to the question provided is 72.
partial products of 2.3 × 2.6
Answers
Answer:
The answer of the study guide bis 0.
Step-by-step explanation:
Answer:
this is the answer
Step-by-step explanation:
5.98
determine the quotient for 1/3 ÷ 7/7
Answers
Thirty-two of 50 marbles are blue. What percent of the marbles are blue?
Answers
Answer:
64%
Step-by-step explanation:
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Question 5 Multiple Choice Worth 4 points)
(04.07A)
What is the y-intercept of the line shown?
6-
5-
4-
3
2-
0
0
3
4
1
2
0
1
3
3.5
Answers
Answer:
3
Step-by-step explanation:
The y-intercept is the line that crosses the y axis on the gragh
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Answers
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Answers
Answer:
6 inches
Step-by-step explanation:
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Step-by-step explanation:
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Now we'll substitute.
π = 22/7
h = 21
πr²h
π × 7² × 21
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Use Pythagorean Theorem to determine the missing side.
How high is the end of the ladder
against the building?
h ft
13 tt
4 ft
Round to the nearest tenths place.
Answers
An arithmetic sequence has this explicit formula: an = 14 + (n - 1)3. What is the recursive formula?
Answers
Answer:
[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + 3 with a₁ = 14
Step-by-step explanation:
The explicit formula for an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference, then
[tex]a_{n}[/tex] = 14 + (n - 1)3
has a₁ = 14 and d = 3
A recursive formula allows a term in the sequence to be found by adding d to the previous term, thus recursive formula is
[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + 3 , with a₁ = 14
Which number has a 6 in the tenths place
Answers
Answer:
c
Step-by-step explanation: