n ΔHIJ, the measure of ∠J=90°, HJ = 21, JI = 20, and IH = 29. What ratio represents the cosine of ∠H?
Answers
Answer: The ratio represents the cosine of ∠H = [tex]\frac{21}{29}[/tex]
Step-by-step explanation:
Given, In right triangle ΔHIJ, the measure of ∠J=90°, HJ = 21, JI = 20, and IH = 29.
To find: The ratio represents the cosine of ∠H.
According to trigonometry, the cosine of x = [tex]\frac{\text{side adjacent to x}}{\text{Hypotenuse}}[/tex]
So cosine of [tex]\angle H=\frac{HI}{HJ}[/tex]
Cosine of [tex]\angle H=\frac{21}{29}[/tex]
hence, the ratio represents the cosine of ∠H = [tex]\frac{21}{29}[/tex]
Related Questions
Learning task 1.
Look around inside your house, illustrate five (5) thigs which represents a circle
i will make you brainlest if u answer this properly
Answers
Which expressions is equivalent to 6h + 5(x + h)?
Answers
Answer:
11h +5x
Step-by-step explanation:
6h + 5(x + h)
Distribute
6h + 5x+ 5h
Combine like terms
11h +5x
Natalie wants to buy a hoodie for $39.50.If the sales tax rate is 7%,what will be the amount of sales tax?
Answers
Answer:
2.77
Step-by-step explanation:
39.50x.07=2.77
The varsity soccer team has 20 players. Three of the players are trained to be goalies while the remaining 17 can play any position. Only 11 of the players can be on the field at once.
Answers
Answer:
A.) combination
B.) 167,960 ways
C.) 58,344 ways
Step-by-step explanation:
A.)
Choosing 11 players out of 20 available is a cbinationtuon problem simply because the order of choice of the 11 players does not matter on this scenario.
B.)
Here, the coach wants to select her 11 from all available 20:
We apply the combination formula :
nCr ; where ; n = 20 ; selection, r = 11
nCr = n! / (n-r)!r!
20C11 = 20! / 9!11!
20C11 = 167,960
C.)
1 goalie 10 players
1 goalie is selected from the 3 available goalies AND 10 players from the 17 available players :
This gives :
3C1 * 17C10
3C1 = 3
17C10 = 19,448
3C1 * 17C10 = 3 * 19448
= 58,344 ways
i need to find the missing lengths
Answers
Answer:
20
Step-by-step explanation:
Find the volume of a pyramid with a square base, where the area of the base is 19 cm^2 and the height of the pyramid is 23.8 cm. Round your answer to the nearest tenth of a cubic centimeter.
Answers
Answer:
150.7
Step-by-step explanation:
Formula to the find volume of a pyramid:
V=1/3 (B)(h)
V=1/3 (19) (23.8)
i need the answer to this question
Answers
Answer:
SR=1/2*PO
5x-38=1/2*7x-49
2(5x-38)=7x-49
10x-76=7x-49
10x-7x=-49+76
3x=27
x=27/3
x=9
substitute the value of x in RS
5x-38
5*9-38
45-38
7
Step-by-step explanation:
Answer:
RS = 7
Step-by-step explanation:
Given a segment joining the midpoints of 2 sides of a triangle then it is half the length of the third side, that is
5x - 38 = [tex]\frac{1}{2}[/tex] (7x - 49) ( multiply both sides by 2 to clear the fraction )
10x - 76 = 7x - 49 ( subtract 7x from both sides )
3x - 76 = - 49 ( add 76 to both sides )
3x = 27 ( divide both sides by 3 )
x = 9
Then
RS = 5x - 38 = 5(9) - 38 = 45 - 38 = 7
What is the measure of the reference angle for a 112 degrees angle?
Answers
Answer:
68
Step-by-step explanation:
A P E X
Roll needs to make a sauce mixture of 2/5 sand and 2/5 of clay and one for Pete Mas to put his plants yes 75 pounds of sand how many total pounds of soil rather have it he adds clay and Pete Moss to the sand to make the correction mixture
Answers
Answer:
187.5 pounds
Step-by-step explanation:
Fraction of sand = 2/5
Fraction of clay = 2/5
Fraction of peat = 1/5
Pounds of sand = 75
The total pounds of soil required to make Correct mixture : let that be x
Hence,
Using the sand Fraction and pounds which we know :
2/5 of x = 75
2x / 5 = 75
Cross multiply :
2x = 75 * 5
2x = 375
x = 375 / 2
x = 187.5
Required pond of sand =187.5 pounds
A line is perpendicular to x + 3y - 4 = 0 and has the same y-intercept as 2x + 5y - 20 = 0. Find the equation for the line.
Answers
This is equivalent to y = 3x+4 (slope intercept form)
By "standard form", I mean the form Ax+By+C = 0.
====================================================
Explanation:
Let's solve the first equation for y
x+3y-4 = 0
x+3y = 4
3y = 4-x
3y = -x+4
y = (-x+4)/3
y = (-x/3) + (4/3)
y = (-1/3)x + (4/3)
The equation is now in y = mx+b form, aka slope intercept form, with m = -1/3 as the slope and b = 4/3 as the y intercept. We'll focus on the slope.
Apply the negative reciprocal to this so that we go from -1/3 to +3/1 or simply 3. Flip the fraction and the sign. Note how -1/3 and 3 multiply to -1. Perpendicular slopes always multiply to -1, assuming neither line is vertical.
So this mystery perpendicular line we're after has a slope of 3.
It has the same y intercept as 2x+5y-20 = 0. Plug in x = 0 and solve for to determine the y intercept.
2x+5y-20 = 0
2(0)+5y-20 = 0
5y-20 = 0
5y = 20
y = 50/5
y = 4
The y intercept of 2x+5y-20 = 0 is y = 4, so it's also the y intercept of our final answer. Let b = 4.
-------------------------------------
We found that:
m = 3 is the slope of the perpendicular lineb = 4 is the y intercept of the perpendicular lineSo we know that,
y = mx+b
y = 3x+4
is the slope intercept form of the answer. Since your teacher gave you the equations in standard form (one version of it anyway), let's convert y = 3x+4 to that form as well
y = 3x+4
y-3x = 4
-3x+y = 4 .... one way to express standard form
-3x+y-4 = 0 .... another standard form
Some math textbooks use Ax+By = C as standard form, while others use Ax+By+C = 0. Unfortunately, it's a bit confusing because the same phrasing is used.
26. What is the approximate length of RS 7
18 in
S
21 in
R
A. 9.5 in
B. 10.8 In
C 12.1 In
D. 12.8 In
Answers
Estimate a 15% tip on a dinner bill of $61.75 by first rounding the bill amount to the nearest ten dollars. What’s the estimated tip?
Answers
Answer:
Tip = $9
Step-by-step explanation:
Bill amount to nearest ten dollars = $60
[tex]tip = 15\% of 60 = \frac{15}{100} \times 60 = 9[/tex]
NEED HELP HERE PLEASE!! π∆π
Give the value of the six trigonometric ratios in the figure.
Answers
Answer:
Step-by-step explanation:
take theta as reference angle
using sin rule
sin theta=opposite/hypotenuse
sin theta=3/5
sin theta=0.60
theta=sin 37 degree
therefore the value of theta is 37 degree.
Properties of Triangles HELP
Answers
Answer:
x = 14
m<D = 57
Step-by-step explanation:
All triangle interior angles add up to 180.
<D and <E are congruent because of the congruent legs which makes them congruent angles:
4x + 1 + 4x + 1 + 5x - 4 = 180
13x - 2 = 180
13x = 180 + 2
13x = 182
x = 14
m<D:
4x + 1
4(14) + 1
56 + 1
57
PLEASEEEEEE IM BEGGING SOMEONE PLEASEEEEEEEE
Answers
Answer:
hiii
zom I'd 213 088 8336
p 0
come for s
Answer:
113 degree
Step-by-step explanation:
missing angle is 113 degree because the relation between 113 degree and missing angle is alternate interior angle and alternate interior angles are always equal.
Henry says he can write an 8 in each box to make both equations true. Is he correct?
Answers
Answer:
yes it's true because 3 groups of 8 is 24
Please help me with 12,13,14 please and thank you!
Answers
Hope this helps! xoxo
Help!, I need the answer in 30 minutes! For which values of the parameter p equation x ^ 2-px + 3 = 0 has a root in the range [0; 1], and another that does not belong to this range?
Answers
Answer:
p = 4
Step-by-step explanation:
Given the expression x ^ 2-px + 3 = 0
If x = 0 is a solution
Substitute into the expression
0² - 0p + 3 = 0
-0p = -3
p = 3/0
p cannot be determined for this root
If x = 1
1² - 1p + 3 =0
1 - p + 3 = 0
-p+4 = 0
-p = -4
p = 4
Hence the va;ue of p is 4
A movie theater has 85 seats. One rainy day in the summer, all seats were sold and the ticket income was $121. If adult tickets cost $3 and children tickets cost $1, how many children were in the audience?
Answers
Answer:
children = 67
Step-by-step explanation:
two equations can be derived from this question
x + y = 85 equation 1
3x + y = 121 equation 2
where x = number of adults
y = number of children
subtract equation 1 from 2
2x = 36
x = 18
substitute for x in equation 1
y = 85 - 18 = 67
Write an equation of the line with slope -1 passing through (8,5).
Answers
Answer:
y = -1x + 13
Step-by-step explanation:
y = -1x + b
5 = -1(8) + b
5 = -8 + b
13 = b
Lucia has 48 markers and 64 stickers that she wants to give as favors for a party. She wants to put an equal number of markers and an equal number of stickers into each favor bag. She uses all the markers and stickers. What is the greatest number of bags Lucia can make
Answers
Answer:
The greatest number of bags Lucia can make = 16
Each of the 16 bags will contain 4 stickers and 3 markers
Step-by-step explanation:
Markers = 48
Stickers = 64
What is the greatest number of bags Lucia can make?
Find the highest common factor of 48 and 64
48 = 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48
64 = 1, 2, 4, 8, 16, 32 and 64
The highest common factor of 48 and 64 is 16
The greatest number of bags Lucia can make = 16
Stickers = 64/16
= 4 stickers per bag
Markers = 48/16
= 3 markers per bag
Each of the 16 bags will contain 4 stickers and 3 markers
What is the volume of a hemisphere with a diameter of 7.1 ft, rounded to the nearest tenth of a cubic foot?
Answers
Answer:
7 feet i think? i may be wrong tho
Step-by-step explanation:
Zeek then want to ride his bike to the old spaghetti factory. He wondering if he should bike 1 mile north, then 0.5 miles directly east, or if he should just go directly there to bike the shortest distance.
Answers
Answer:
He should travel directly
Step-by-step explanation:
Given
[tex]x = 0.5[/tex] --- East
[tex]y =1[/tex] --- North
If he goes through east north direction, the distance (d) traveled is:
[tex]d = x + y[/tex]
[tex]d = 0.5 + 1[/tex]
[tex]d = 1.5 mile[/tex]
If he travels directly, the distance (d) is:
[tex]d = \sqrt{x^2 + y^2}[/tex] ---- Pythagoras theorem
[tex]d = \sqrt{0.5^2 + 1^2}[/tex]
[tex]d = \sqrt{0.25 + 1}[/tex]
[tex]d = \sqrt{1.25}[/tex]
[tex]d = 1.12mile[/tex]
By comparison, he will travel the shortest distance if he travels directly because [tex]1.12 < 1.5[/tex]
Hence, he should travel directly
Priyah’s weekly earnings were proportional to the number of hours she worked. The table shows the number of hours Priyah worked and the amount she earned. How much money did Priyah earn per hour?
Answers
Answer:
$17.50 is how much Priyah makes per hour
3.9047 rounded to the nearest thousandth
please help
Answers
Answer: 3.9047 rounded to the nearest thousandth is 3.9050, or 3.905.
Step-by-step explanation:
You round 47 up to 50, which gets you to 3.9050, which you can then reduce it to 3.905.
What is the value of the expression 2 + 32 ⋅ (5 − 1)? 31 32 37 38
Answers
Answer:
38
Step-by-step explanation:
Pemdas
P = Parentheses
E = Exponents
M = Multiplication
D = Division
A = Addition
S = Subtraction
help!!!!!!! me plzzzz!!!!
Answers
Answer:
1.0
2.undefined
Step-by-step explanation:
Answer:1) 0, 2) is undefined
Step-by-step explanation:
What is the total surface area of the square pyramid below?
A square pyramid. The square base has side lengths of 6 meters. The triangular sides have a height of 8 meters.
132 m2
144 m2
160 m2
228 m2
Answers
144 m2
hope this help:)
Answer:
144 m2
Step-by-step explanation:
The bisectors of the perpendicularity of the vectors
What is the surface area of the cylinder shown? Use 3.14 for pie. 4cm for the Radius, and 9cm for the height.
Answers
Answer:
326.73cm²
Step-by-step explanation:
=
2
π
r
h
2
π
r
2
=
2
π
4
9
2
π
4
2
≈
326.72564cm²
express 450 g as a percentage of 20 kg
Answers
Answer:
Step-by-step explanation:
convert either gram into kg or kg into gram
lets convert kg into g
1 kg=1000g
20kg=1000*24g
=20000g
450/20000*100%
450/200%
2.25%
first convert 450 g to kg = 0.45 kg
Now 0.45 kg as a. percentage of 20 kg = 0.45/20×100= 2.25%