In AHIJ, the measure of ZJ=90°, the measure of ZI=62°, and IJ = 57 feet. Find the
length of JH to the nearest tenth of a foot.
Answers
Answer:
[tex]x = 107.2[/tex]
Step-by-step explanation:
[tex]57 = ih \cos(62) \\ ih = \frac{57}{ \cos(62) } \\ \\ x = ih \sin(62) \\ x = \frac{57}{ \cos(62) } \times \sin(62) \\ x = 107.2[/tex]
Answer:
Step-by-step explanation:
The graph had prove the adjacent length of angle ZI, which is 57. And asks the opposite side of angle ZI, we use tan. to solve for x.
tan (62) = opposite side / adjacent side
tan (62) = x / 57
tan (62) x 57 = x
x = 107.2
Related Questions
help!! show all steps!
Find SURFACE AREA
Answers
Answer:
132 cm²
Step-by-step explanation:
The area of the two triangular ends is ...
A = 2(1/2)(bh) = (4 cm)(3 cm) = 12 cm² . . . . . area of both triangles
The area of the three rectangular faces is ...
A = (b1)(h) +(b2)(h) +(b3)(h) = (b1 +b2 +b3)(h)
= (4 cm +3 cm +5 cm)(10 cm) = 120 cm²
Then the total surface area is ...
triangle area + rectangle area = (12 cm²) +(120 cm²) = 132 cm²
6. Five more than eight times a number is greater than four less than
seven times the number. Write an inequality to represent this relationship.
Then solve the inequality. *
Answers
8x+5 > 7x -4
X+5> -4
X> -9
Answer:
8x + 5 > 7x - 4
x > -9
Step-by-step explanation:
Five more than eight times a number
8x + 5
is greater than
>
four less than seven times the number
7x - 4
All together:
8x + 5 > 7x - 4
-------------------------------
Solve:
Subtract 7x from both sides
x + 5 > -4
Subtract 5 from both sides
x > -9
solve the variables with reasons
Answers
All angles in a quadrilateral add up to 360 degrees.
There is two right angles- right angles measure 90 degrees.
90 + 90 = 180
You are given the the angle 56 so add that to 180.
56 + 180 = 236
To find x, we subtract 236 from 360.
360 - 236 = 124
x = 124 degrees
The perimeter of a rectangle is 78 units. The length is 5 units more than the width. Find the length.
Answers
Answer:
W = 8.5 units; L = 30.5 units
Step-by-step explanation:
The formula for the perimeter of a rectangle is P = 2L and 2W, where L and W represent the length and the width respectively. Here, L = 3W + 5. Adapting the formula P = 2L and 2W, we get: 78 = 2L + 2W = 2(3W + 5) + 2W, or 6W + 10 + 2W = 78, or 8W = 68, or W = 68/8 = 8.5 units If W = 8.5 units, then L = 3(8.5 units) + 5 units = 30.5 units
divide 96 into the ratio 1:7
Answers
A small company shows the profits from their business with the function P(x)= -0.01x^2+60x-500, where x is the number of units they sell and P is the profit in dollars. a. How many units are sold by the company to earn the maximum profit?
b. Between which numbers of units sold does the company show a profit?
Answers
Answer:
Bzbsjshhd
Xbdbdhs
Step-by-step explanation:
Bdhsgdgdgdknzbjsjcsbbdg djdv dWrite the solution to the inequality.
f - 5 < -6
Answers
Step-by-step explanation:
add 5 to the -6 bc you have to isolate the variable so f = -1
Find the length of DF
Answers
Check the picture below.
Answer:
the other person was correct
Two functions are given below: f(x) and h(x). State the axis of symmetry for each function and explain how to find it.
Please make sure the explain each step
Answers
Answer:
The axis of symmetry for f(x) is at x = 4 because it splits the function in half. I found it by looking at the vertex of the parabola and using the x-value as the axis of symmetry.
The axis of symmetry for h(x) is at x = -2 because it splits the function in half. I found it by looking at the vertex of the parabola and using the x-value as the axis of symmetry.
please make me Brainliest! : )
the sum of three consecutive no. is 7 and less than 700 .find the no.
Answers
Answer:
Sorry, the question isn't clear enough to answer.
Step-by-step explanation:
Sorry, the question isn't clear enough to answer.
MATHEMATICAL CONNECTIONS Use the given information to write and solve a system of linear equations to find the values of $x$x and y$y$y . The text reads triangle L M N is congruent to triangle P Q R, the measure of angle L equals 40 degrees, the measure of angle M equals 90 degrees, the measure of angle P equals left parenthesis 17 x minus y right parenthesis degrees, the measure of angle R equals left parenthesis 2 x plus 4 y right parenthesis degrees. The equations are is equal to 40$=\ 40$= 40 and is equal to 50$=\ 50$= 50 . Question 2 $x\ =$x = and $y\ =$y =
Answers
The value of x and y is 2 and 11.5
The sum of the interior angle of a triangle is 180 degrees.
Since LMN and PQR are similar, hence:
m<L = m<P
m<M = m<Q
m<N = m<R
Given the following parameters
m< L = 40 degrees
m<M = 90 degrees
m<P = 17x - y
m<R = 2x + 4y
Get the measure of m<N
m<M + m<N + m<L = 180
90n+ m<N + 40 = 180
m<N = 180 - 130
m<N = 50degrees
Since m<P = m<L, hence;
17x - y = 40 ....... 1
Also m<R = m<N
2x + 4y = 50 .......... 2
Solve simultaneously
17x - y = 40 ....... 1 * 4
2x + 4y = 50 .......... 2 * 1
___________________________
68x - 4y = 160
2x + 4y = 50
Adding both equations
68x + 2x = 160 + 50
70x = 210
x = 2
Substitute x = 3 into the equation 2x + 4y = 50
2(2) + 4y = 50
4 + 4y = 50
4y = 50 - 4
4y = 46
y = 46/4
y = 11.5
Hence the value of x and y is 2 and 11.5
Learn more here: https://brainly.com/question/15165519
i don’t understand someone please help me ! algebra 1
Answers
What was a social effect of Queen Hatshepsut’s economic policies?
Egypt experienced a decrease in status among other countries.
Religious reform became possible as peasants gained wealth.
The kingdom was peaceful and prosperous.
Workers became unhappy with the pharaoh.
Answers
Answer:
the answer is the kingdom was peaceful and prosperous
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
A container can hold quarts of 8 3/5cooking oil. It contains 1 1/3 quarts of cooking oil. How much more cooking oil is needed to fill the container?
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Answers
Answer:
4 14/15
Step-by-step explanation:
8 3/5 - 11/3
8 9/15 - 55/15
8 9/15 - 3 10/15
7 24/15 - 3 10/15
4 14/15
Escribe 3 fracciones equivalentes a 20/24en donde el numerador sea menor que 20.
Answers
Answer:
[tex]\frac{20}{24} =\frac{15}{18} =\frac{10}{12} =\frac{5}{6}[/tex]
Step-by-step explanation:
I hope this help you
As a puppy, Cricket weighed 2 1/4 pounds. At her 1-year check-up with the vet, Cricket weighed 9.5 pounds. How much weight did Cricket gain between the time she was a puppy and her 1-year check-up? Enter your answer as a decimal or simplified mixed number.
A. 6.25
B. 12.75
C. 11.75
D. 7.25
Answers
Answer:
D. 7.25
Step-by-step explanation:
9.50-2.25=x
9.50-2.25= 7.25
The weight gained by cricket in between the time she was a puppy and her 1-year checkup is 7.25 pounds. Hence, option D is correct.
What is an arithmetic operation?The four fundamental operations of arithmetic are addition, subtract, multiply, and division of two or more numbers. Included in them is the study of integers, especially the order of operations, which is important for all other aspects of mathematics, notably algebra, information management, and geometry.
As per the data provide by the question,
Initial weight of puppy = 9/4 = 2.25 pounds.
After 1-year, weight = 9.5 pounds.
Weight gained by the puppy = 9.5 - 2.25 = 7.25
Therefore, weight gained by the puppy is 7.25 Pounds.
To know more about arithmetic operations:
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GEOMETRY Find the the area of the polygon with the given vertices.
C(1,1) D(1,4)E(4,4)F(4,1)
pls give answer
worth 100
Answers
Answer:
sdd
Step-by-step explanation:
seds
solve pls brainliest
Answers
Answer:
4/4, 12/3, -37
Step-by-step explanation:
an integer is a whole number thats not a fraction, but can be negative
Use the information given to enter an equation in standard form.
(27,31) and (37,45) are on the line.
WHATS THE ANSWER TO THIS??
Answers
Answer:
y - 1.4x = - 6.8
Step-by-step explanation:
To find the equation: find the slope, use point-slope form to calculate the equation, then convert the equation to standard form.
Slope: [tex]\frac{45-31}{37-27} = \frac{14}{10} = 1.4[/tex]
Use point slope form: y - y₁ = m(x - x₁)
Plug in x = 27, y = 31, and m = 1.4
y - 31 = 1.4(x - 27)
y - 31 = 1.4x - 37.8
y = 1.4x - 6.8
Convert this into standard form: ax + by = c
y - 1.4x = - 6.8
2. Erin earns $29.00 for 4 hours of babysitting. How much would she make babysitting for 10
hours?
Answers
Erin would make $72.50 from babysitting for 10 hours
Explanation:
We can find the amount of money she makes in 1 hour by dividing 29 by 4.
We then get $7.25
We multiply that by 10 to get what she makes from babysitting for 10 hours and get
$72.50
Answer:
$72.5
Step-by-step explanation:
4 hours of babysitting = $29.00
Therefore $29.00 divided by 4 is 1 Hour of babysitting which is $7.25
To find 10 hours we multiply $7.25 by 10 = $72.5
So Erin would make $72.5 babysitting for 10 Hours.
please help me for math ill give branliest
Answers
we can first reciprocate both sides, note that z^-b = 1/z^b where z is real and cannot equal zero and b is real. So reciprocating just turns it into z^b, in this case, imagine z = (5^3 * 2^-6) and b = 2.
Note that reciprocal also means ‘to the power of -1’ and using exponent rules means (z^-b)^-1 = z^(-1*b*-1) = z^b
Therefore,
[(5^3 * 2^-6)^-2]^-1 = [2^w/c^x]^-1
z^b = c^x/2^w
(5^3 * 2^-6)^2 = c^x/2^w
using exponent rules, including reciprocation,
5^6*2^-12 = c^x/2^w
and again,
5^6/2^12 = c^x/2^w
now 5 and 2 are relatively prime (do not have any common factors); in fact, they are both distinct prime numbers, so they would not share any factors. This also means that the numerator is in its ‘prime factorised’ form, as well as the denominator. I am assuming we are looking for integer solutions.
Therefore, the solutions naturally come out.
c = 5
x = 6
w = 12
48% of $650
19.6% of $170.65
Answers
Answer:
the answers are easy here is the answer if you don't know.
1. 312
2. 33.45
Write an equation of the line that passes through (1, 2) and is perpendicular to the line y = -5x + 4
Answers
Answer:
y = -1/5 + 7
Step-by-step explanation:
Substitute the point (1,2) for the x and the y in the equation, set the 4 to b since we are solving for b.
2 = -5(1) + b now solve for b
2 = -5 + b
+5 +5
7 = b
we know that the slope must be the reciprocal for it to be perpendicular
y = -1/5 + 7 add b (7) to the equation and change the reciprocal
write the equation in general form
Answers
Step-by-step explanation:
here is your answer hope you will enjoy and mark me as brainlist
thank you
What percent of the bottle of apple juice is water?
Answers
percent of water is: 32/80*100= 40%
Rewrite in slope-intercept form and show your work.
-2x + 5y = 10
Answers
y = mx + b
-2x + 5y = 10
5y = 2x + 10
Divide by 5
y = 2/5x + 2
Answer:
hope it helps you......
the image of the point (6, 4) under a translation is (4, 7). Find the coordinates of the image of the point (-2, 2) under the same translation.
Answers
Answer: (-4, 5)
Step-by-step explanation:
Under the same rule of translation, we can determine the coordinates of the image of the point (-2, 2):
(x, y) → (x - 2, y + 3)
(-2, 3) → (-2 - 2 , 2 + 3) → (-4, 5)
Answer:
20
Step-by-step explanation:
because it needed in the right panel not left to the 52 panel
Train A has a speed 35 miles per hour greater than that of train B. If train A travels 300 miles in the same times
train B travels 195 miles, what are the speeds of the two trains?
Answers
Step-by-step explanation:
That's the answer! hope it helped!
Each cube in the prism is one cubic unit.
What is the volume of this rectangular prism?
Enter your answer in the box.
Answers
Answer:
i got 120 because i think you gotta multiply the bottom front colom and right colum and the front row
Answer:
I think its 120
Step-by-step explanation:
you would do length x width x height
6 x 5 x 4
6 x 5 = 30
30 x 4 = 120
therefore the volume is 120 units squared
Can someone help? Show work
Answers
Let c = hypotenuse
a = one of the legs of the triangle
b = the other leg of the triangle
Use the Pythagorean Theorem to solve for the measure of the hypotenuse:
c^ 2 = a^2 + b^2
c^ 2 = (4)^2 + (4)^2
c^ 2 = 16 + 16
c^2 = 32
Next, take the square root of each side of the equation to solve for c:
√(c^2) = √(32)
c = 4√(2)
Therefore, the correct answer is Option 3) 4√(2).
