Help, I don’t understand this DeltaMath question
In ΔHIJ, the measure of ∠J=90°, the measure of ∠I=52°, and JH = 4.2 feet. Find the length of IJ to the nearest tenth of a foot.
Answers
To do this, I look at the relationship IJ and JH have to the 52 degree angle. JH is opposite to angle I, and IJ is adjacent to angle I. Because the two side lengths are opposite and adjacent, I use the tangent function to solve this.
Tangent of an angle = the length of the opposite side / the length of the adjacent side. This is just another way to say tan(x)=opposite/adjacent
Now I can fill in what I know...
tan(52)=4.2/x
Now, I want to isolate x.
tan(52) = 4.2/x
x(tan(52))=4.2
x=4.2/tan(52)
Now I put 4.2/tan(52) into a calculator and get x = 3.3 ft
Hope this helps!
Related Questions
1. A car travels at an average rate of speed of 60 miles per hour for 7.5 hours. How many miles does this car travel?
Answers
Answer:
450
Step-by-step explanation:
60 x 7.5=450
Which ones are correct?
Answers
Answer:
120 x 10^3
7 x 10^5
9 x 10^4
Step-by-step explanation:
what is the area of the shaded region in the figure below
Answers
Answer:
4 cm^2
Step-by-step explanation:
2 x 2 x 0.5 x 2 = 4 cm^2
Hi there!
[tex]\huge\boxed{4 \text{ cm}^{2}}[/tex]
Find the area of the shaded area using the given dimensions:
The shaded area is divided up into two triangles, each with a base of 2 cm and a height of 2 cm. Use the following equation to solve for area:
A = 1/2(bh)
A = 1/2(2 · 2)
A = 1/2(4) = 2 cm²
There are two triangles, therefore:
2 × 2 = 4 cm²
Amr sells 6 pounds of turkey for $ 48.75. What is the unit price ?
Answers
Answer:
the unit price would be 8.125
Step-by-step explanation:
10
Sara was thinking of a number. Sara adds 19 to it, then doubles it and gets an answer of 39.2. What was the original number?
Answers
Answer:
0.6
Step-by-step explanation:
2(x+19)=39.2
x+19=19.6
x=0.6
Hi i need help with this please?!??!!
Answers
Answer:
May be your answer is option 3
You put $500 in a savings account. The account earns $20 simple interest in 6 months. What is the annual interest rate? Write your answer as a percent
Answers
Answer:
8%
Step-by-step explanation:
For simple interest, we use the equation I = PRT, where I is the interest earned, P is the principal/amount invested, R is the rate as a decimal, not percentage, and T is the time in years.
For this problem, we have to use 0.5 for T, because 6 months is 1/2 a year.
20 = (500)(r)(0.5)
20 = 250r
r = 0.08 = 8%
What side lengths should be used to model a rectangle with an area of x2 + 3x – 10 square units?
x – 5 and x + 2
x – 2 and x + 5
x and x + 3
x + 3 and x – 10
Answers
Answer:
x - 2 and x + 5
Step-by-step explanation:
Given Area Of rectangle
= x² + 3x - 10
= x² + ( 5 - 2)x - 10
=x² + 5x - 2x - 10
= x ( x + 5 ) - 2 ( x + 5 )
= ( x + 5 ) ( x - 2 )
Hope it will help :)❤
Answer:
B. x-2 and x+5
Step-by-step explanation:
Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. Illustrate by graphing both the curve and the tangent line on a common screen. x=t, y=e^-t, z=2t-t^2; (0, 1, 0)
Answers
Answer:
[tex]x = t[/tex]
[tex]y = 1 - t[/tex]
[tex]z = 2t[/tex]
Step-by-step explanation:
Given
[tex]x=t[/tex]
[tex]y=e^{-t}[/tex]
[tex]z=2t-t^2[/tex]
(0, 1, 0)
The vector equation is given as:
[tex]r(t) = (x,y,z)[/tex]
Substitute values for x, y and z
[tex]r(t) = (t,\ e^{-t},\ 2t - t^2)[/tex]
Differentiate:
[tex]r'(t) = (1,\ -e^{-t},\ 2 - 2t)[/tex]
The parametric value that corresponds to (0, 1, 0) is:
[tex]t = 0[/tex]
Substitute 0 for t in r'(t)
[tex]r'(t) = (1,\ -e^{-t},\ 2 - 2t)[/tex]
[tex]r'(0) = (1,\ -e^{-0},\ 2 - 2*0)[/tex]
[tex]r'(0) = (1,\ -1,\ 2 - 0)[/tex]
[tex]r'(0) = (1,\ -1,\ 2)[/tex]
The tangent line passes through (0, 1, 0) and the tangent line is parallel to r'(0)
It should be noted that:
The equation of a line through position vector a and parallel to vector v is given as:
[tex]r(t) = a + tv[/tex]
Such that:
[tex]a = (0,1,0)[/tex] and [tex]v = r'(0) = (1,-1,2)[/tex]
The equation becomes:
[tex]r(t) = (0,1,0) + t(1,-1,2)[/tex]
[tex]r(t) = (0,1,0) + (t,-t,2t)[/tex]
[tex]r(t) = (0+t,1-t,0+2t)[/tex]
[tex]r(t) = (t,1-t,2t)[/tex]
By comparison:
[tex]r(t) = (x,y,z)[/tex] and [tex]r(t) = (t,1-t,2t)[/tex]
The parametric equations for the tangent line are:
[tex]x = t[/tex]
[tex]y = 1 - t[/tex]
[tex]z = 2t[/tex]
A new microwave costs $126.99 at Walmart. How much sales tax would
you pay if the tax rate is 7%?*
$135.88
$8.89
$135.87
$8.88
Answers
Answer:
135.87
Step-by-step explanation:
7% of 126.99 is 8.8893
add 126.99 to 8.8893
you get ~135.87
Answer:
8.89
Step-by-step explanation:
Take the cost of the item times the tax rate to find the amount of tax
126.99 * 7%
Change to decimal form
126.99 * .07
8.8893
Round to the nearest cent
8.89
nesecito ayuda para hacer el ejercico es para hoy!!!!! Un número se multiplica por 37 y al sumar los productos parciales resulta 7890. ¿Cuál es la suma de cifras del número
Answers
Question 9 of 10
What is the solution to this equation?
4(x - 8) + 10 = -10
A. X = 2
B. x = 5
C. X = 4
D. X = 3
Answers
Answer:
D.
Step-by-step explanation:
3. Jenny bought 7 jackets and 10 winter hats. The jackets cost $8 dollars each, and the winter hats cost $4 each. Write an equation to show the total cost c, in dollars, of the items Jenny bought.
Answers
Answer:
7(8)+10(4)=c
Step-by-step explanation:
Hope this helped!
13x² -7x -8 how to solve this
Answers
Answer:
132x-8
Step-by-step explanation:
I think I might be wrong, but hopefully this is helpful, and yet I still find this confusing.
It's a simplification I don't know if you needed that.
Suppose that a survey was taken of 320 people and each person was asked if they approved or disapproved of the president's actions during the government shutdown. One hundred eighty people said that they approved. Which of the following statements correctly describes how the confidence interval for the population proportion of people that approved the President's actions during the government shutdown?
A) There are not 15 successes and 15 failures. A confidence interval can be computed by adding 2 successes and 2 failures.
B) There are not 15 successes and 15 failures. A confidence interval can be computed by adding 4 successes and 5 failures.
C) There are not 15 successes and 15 failures. A confidence interval can not be done.
D) There are at least 15 successes and 15 failures. A large sample confidence interval for the population proportion can be computed (phat +/- z * sqrt(p*(1-p)/n) with no additional values added.
Answers
Answer: I believe it’s C
Step-by-step explanation: I hope i’m right
8 inches is which fraction of 1 yard?
Answers
Answer:
8/36 yard or 2/9
Step-by-step explanation:
HELP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
help din HDKE EJFNQKEHWHQODBEHQVEIFNFJRNSJEBSG
Step-by-step explanation:
di ko din alam e AHAHAHAHAHAHAHAHAHA NSKFBWJF S DJEBEJS
JSHEBEJS IF JENSKS.DJWKW
SBWUKWVEUEBJQBRJDNDJXBDJDBDKW
EBEJE KD DJWKQKQBWHS
A garden is shaped like a rectangle whose perimeter is 260 ft. The length is 9 times as long as the width. Find the length and the width
Answers
Answer:
The length is 117 ft and the width is 13 ft.
Step-by-step explanation:
From the question itself, we can write down the following equations...
(Let "P" be the perimeter of the rectangle, Let "L" be the length, and let "W" be the width, then...)
L = 9W
and
P = 2L + 2W
Now, we substatute the "L" value and get...
P = 2L + 2W
260 = 2(9W) + 2W
260 = 20W
W = 260 / 20
W = 13
Since we know the width we can now find the length by using the very first formula...
L = 9W
L = 9(13)
L = 117
Therefore, the length is 117 ft and the width is 13 ft.
HELPPPPPPPPP PLEASEEEEEE
I WILLL MARK YOU BRILL
Answers
s-10
taking 10 away from s is really just subtracting 10 from s.
:)
In the last year, U.S. car sales of all makes and models have dropped by 16%. Let's say that a car dealer sells 325 cars. If this number drops by 16%, how many cars will the dealer sell then? Round to the nearest whole number.
A 203 cars
B 309 cars
C 273 cars
D 256 cars
Answers
Answer:
c. 273 cars
Step-by-step explanation:
First you need to find what 16% of 325 is
325x.16=52
because the number sold dropped by 16% you will subtract 52 from 325
325-52=273
you can also calculate the answer by subtracting 100% by 16%
100%-16%=84%
now you can calculate 84% of 325
325x.84=273
2
7
Kami received 2,300 votes in
a town election. She
received 190 more than of the total
number of votes. Determine the
total number of residents that voted
in the town election.
5
-
Answers
Answer:
2490
Step-by-step explanation:
2300 votes plus 190 votes will be 2490 vote .one person is equals to one vote
Pls help, thank you :)
Answers
3,500,000 divided by 100
That equals
=35000
So (3)
Hope this helped ^^
Answer:
(3)
Step-by-step explanation:
Which equation is correct?
75 × 4 = 70 + 5 × 4
75 × 4 = 70 × 4 + 5 × 4
75 × 4 = 700 × 4 + 5 × 4
75 × 4 = 70 × 4 + 5
Answers
75 x 4= 70 + 5 x 4
What is the area of the triangle below? 00 17 O A. 136 sq. units O B. 68 sq. units O C. 25 sq. units O D. 50 sq. units
Answers
Answer:
B) 68 units^2
Step-by-step explanation:
8 x 17 x 0.5 = 68 units^2
Which of the following is the product of (3x − 5) and (3x + 5)?
Answers
Answer:
[tex] {9x}^{2} - 30x + 25[/tex]
[tex]\huge\underline\bold\blue{ƛƝƧƜЄƦ}[/tex]
(3x + 5)(3x - 5)
By using identity
(a + b)(a - b) = a² - b²
3x² - 5²
9x² - 25
Find the equation of a line that passes through the point (-2,4) and has a gradient of -3.
Leave your answer in the form
y
=
m
x
+
c
Answers
Equation of a line is y = mx +c
m is the gradient, which is given as -3 so now you have:
y = -3x + c
Replace y and x with the given point and solve for c:
4 = -3(-2) + c
Simplify:
4 = 6 + c
Subtract 6 from both sides:
c = -2
The equation becomes:
y = -3x-2
help i need help ASAP
Answers
Answer:
That is the halfway mark between -6 and -7.
Step-by-step explanation:
-4 - 2.5
-6.5, or is -6 1/2.
That is the halfway mark between -6 and -7.
Y
5-
4+
3+
2-
1+
T
-5 -4 -3 -2
3
4
5
- 2
-3+
-4
-5
Find the inequality represented by the graph.
Will mark brainliest
15 points
Answers
Answer:
ongaginga jeje críquet 5 minutos para el palmar
Write an equation to show how to find the total length, in meters, of the 8 pieces of wood.
Answers
Answer:
256
Step-by-step explanation:
8↑2 + 8↑2 +8↑2+8↑2+8↑2+8↑2+8↑2+8↑2
8x2x2=32 8x2=16x2=3232x8= 256 +1 32 x 8______ 2 5 62x8=16 **then add the +1 to the 3**3x8=24A small rectangular tray measures 16 cm by 18 cm. How long is the diagonal?
Answers
Answer:
24.1cm
Step-by-step explanation: