In ΔHIJ, the measure of ∠J=90°, the measure of ∠H=71°, and JH = 2 feet. Find the length of IJ to the nearest tenth of a foot.

Answers

Answer 1

Answer:

IJ is 5.8 ft

Step-by-step explanation:

Here, we want to calculate the length of IJ

to Find IJ, we need the appropriate trigonometric ratio

The trigonometric ratio to use in this case is the one that connects the opposite and the adjacent

from the question, IJ is the opposite

This is the side facing the given angle

HI is the hypotenuse which is the side facing the right-angle

HJ is the third side which is the adjacent

Mathematically;

That is the Tan

Tan 71 = IJ/2

IJ = 2 Tan 71

IJ = 5.8

In HIJ, The Measure Of J=90, The Measure Of H=71, And JH = 2 Feet. Find The Length Of IJ To The Nearest

Related Questions

What is the square root of 166?

Answers

Answer:

12.8840987267

Step-by-step explanation:

Answer:

[tex]\sqrt{166}[/tex] = 12.8

Step-by-step explanation:

I WILL MARK BRAINLIEST
Choose the point-slope form of the equation below that represents the line that passes through the point (−1, 6) and has a slope of −3.

Answers

Answer:

y - 6 = - 3(x + 1)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = - 3 and (a, b) = (- 1, 6) , then

y - 6 = - 3(x - (- 1) ) , that is

y - 6 = - 3(x + 1)

Answer:

your answer would be y - 6 = - 3(x + 1)

Step-by-step explanation:

hopes this helps!:)

Write an equation in slope-intercept form that describes the line with a slope of -2 and (5,4) is on the line

Answers

Answer:

The equation in slope-intercept form will be:

y = -2x + 14

Step-by-step explanation:

Given

slope = m = -2point (5, 4)

We know that the slope-intercept form of the line equation is

[tex]y = mx+b[/tex]

where m is the slope of the line and b is the y-intercept

substituting m = -2 and the point (5, 4) in the slope-intercept form to get the y-intercept 'b'

y = mx+b

4 = -2(5) + b

4 = -10 + b

b = 4+10

b = 14

now substituting m = -2 and b = 14  in the slope-intercept form to get the equation in slope-intercept

y = mx+b

y = -2x + 14

Therefore, the equation in slope-intercept form will be:

y = -2x + 14

find a parametric representation of the solution set of the linear equation. (enter your answer as a comma-separated list of equations. use t as your parameter.)

Answers

To represent the solution set of a linear equation parametrically, we introduce other parameters like s and t for the free variables.

Every linear equation has n - 1 free variables where n is the number of variables.

For x + y + z = 2, we have 3 variables and 3 - 1 = 2 free variables.

First, let y and z be the free variables, we first solve the linear equation for x to get:

x = 2 - y - z

Therefore , the parametric representation of the solution set is given by :

x = 2 - s -t

y = s

z = t

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Cory's baseball bat weighs 25.64 ounces, and his glove weighs 13.05 ounces. How much does his baseball gear weigh altogether?

Answers

Answer: 38.69

Step-by-step explanation:

Just do 25.64 + 13.05

Answer: 38.69

Step-by-step explanation:

90% is 80% of what number

Answers

Answer:

72%

Step-by-step explanation:

90% of 80 is 72.

Therefor, 90% of 80% is 72%

need help solving [(-3)*(-2)⁹⁹-(-4)*(-2)⁹⁹]/2⁹⁶. I need a step by step guide too, please.

Answers

Answer:

-8

Step-by-step explanation:

 Exponentiation: (-2) ^ 99 = -6.3382530011411×1029

Multiple: -3 * the result of step No. 1 = -3 * (-6.3382530011411×1029 ) = 1.9014759003423×1030

Exponentiation: (-2) ^ 99 = -6.3382530011411×1029

Multiple: -4 * the result of step No. 3 = -4 * (-6.3382530011411×1029 ) = 2.5353012004565×1030

Subtract: the result of step No. 2 - the result of step No. 4 = 1.9014759003423×1030 - 2.5353012004565×1030 = 1.9014759003423×1030 - (2.5353012004565×1030 ) = -6.3382530011411×1029

Exponentiation: 2 ^ 96 = 7.9228162514264×1028

Divide: the result of step No. 5 / the result of step No. 6 = -6.3382530011411×1029 / 7.9228162514264×1028 = The answer -8

please mark me braliny

Simplify 6a^2b^-2/8a^-3b^3
Assume a≠0 b≠0

Answers

Answer:

3/4

Step-by-step explanation:

reducing 6/8 would be 3/4, and if a and b = 0, then anything multiplied by 0 would be nothing so there wouldn't be and variables

Answer:

the answer is C

Step-by-step explanation:

edge

Help needed!!! Please

Answers

Answer:

5

Step-by-step explanation:

distance formula= radical[(x_2 - x_1)^2 + (y_2 - y_1)^2]

= radical[(1-5)^2 + (6-9)^2]

= radical(16+9)

= radical(25)

= 5

Use long division to find the quotient (16x3 + 4x2 - 144) / (4x - 8)

Answers

Answer:

[tex] - 22 x - 8[/tex

okvsxhxhxhdhdh

Answer: 4x^2+9x+18

Step-by-step explanation: yes

Someone help me out with this question

Answers

The answer is A or the 1 selectible option

You just need to look at it from left to right


Nemo wrote two correct variable expressions to represent the phrase "the product
of a number and 7." Which variable expressions could Nemo have written?

Answers


7/2 ez ez ez ez ez ez ez

The variable expression Nemo could have written either "7x" or "x * 7" to represent "the product of a number and 7."

We have,

Nemo could have written the following two correct variable expressions to represent the phrase "the product of a number and 7":

= 7x

In both expressions, "x" represents the unknown number, and the product of "x" and 7 is obtained by either multiplying "x" by 7 (7x) or by multiplying 7 by "x" (x * 7).

Both expressions are equivalent and correctly represent "the product of a number and 7."

Thus,

The variable expression Nemo could have written either "7x" or "x * 7" to represent "the product of a number and 7."

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find the volume v of the described solid s. the base of a solid s is the region enclosed by the parabola y = 4 − x2 and the x-axis. cross-sections per

Answers

The volume v of the described solid s = 8 cubic units .

Given : a parabola y = 4 - ( x ^ 2 )

Writing eq . y = 4 - ( x ^ 2 ) in terms of x ,

( x ^ 2 ) = 4 - y

x = ± [tex]\sqrt{4 - y}[/tex]

A ( y ) = ± [tex]\sqrt{4 - y}[/tex] * ( ± [tex]\sqrt{4 - y}[/tex] )

A ( y ) = 4 - y

Volume the given solid = [tex]\int\limits^4_0 {( 4 - y )} \, dy[/tex]

                                        = 4 ( 4 ) - [ ( 4 ^ 2 ) / 2 ]

                           = 16 - 8

                           = 8

Hence , the volume v of the described solid s = 8 cubic units .

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9. Given: f(x) = 2x + 3 and g(x) = 3x + 1
Find: (f • g)(-1)

Answers

Answer: -2

Step-by-step explanation:

f(x) = 2x + 3, g(x) = 3x + 1

(f • g)(-1)=

f(-1)*g(-1)=

(2(-1)+3)*(3(-1)+1)=

(-2+3)(-3+1)=

1*(-2)=-2

i need help how to solve bc this is for a grade

Answers

Answer: i think its D

Step-by-step explanation:

Matching: Connect the correct statement with the corresponding picture. There are multiple correct statements per picture.
A) System is consistent and independent
B) System is consistent and dependent
C) System is inconsistent
D) Only one solution to system
E) Infinitely many solutions to system
F) No solutions to system

Answers

Answer:

Figure 1: A , D

Figure 2: B, E

Figure 3: C, F

Hope that helps!

DUE SOON PLEASE HELP!!!!!!

Answers

Answer: B

So the question is asking when it will be the same amount of water, which means we are dealing with an EQUAL sign because they want to know when it’s the SAME. So, we look at the equation again and it’s saying that the 4.5 gallon tub is gaining water, and the 7 gallon tub is losing water. Because C also has an equal sign, it isn’t the right choice because of the fact that the 7 gallon tub in that equation has a + sign instead of a - sign like B does.

If this helped I appreciate a ❤️ and 5 ⭐️

Mini-golf course A has an entrance fee of $8.20, and then a charge of $2.00 per game, Mini-
golf course B has an entrance fee of $4,80, and then a charge of $3.00 per game. Write an
equation to determine x, the number of games needed to be played for both courses to
cost the same

Answers

Answer:

OWO

Step-by-step explanation:

ADD Divide


.
Solve for x
5x – 7 = 19
Give your answer as an

Answers

5x - 7 = 19

Add 7 to both sides:

5x = 26

Divide both sides by 5:

x = 26/5

[tex]5x - 7 = 19[/tex]

Move -7 to another side and become + 7. Whenever we move to another side, we change the sign/operator to opposite. Ergo, changing from plus to minus and multiply to divide.

[tex]5x = 19 + 7 \\ 5x = 26[/tex]

We are at this part. Now to move 5 which is multiplying the x. So we move 5 from multiply to divide 26.

[tex]x = \frac{26}{5} [/tex]

Ergo, the answer is x = 26/5

Colton opened a savings account and deposited $1,000.00 as principal. The account earns 11% interest, compounded annually. What is the balance after 8 years? Round your answer to the nearest cent.

Answers

Answer:

$2304.5

Step-by-step explanation:

The balance after 8years=P(1+R/100)^t

=1000(1+11/100)^8

=$2304.5

45 WZ is parallel to XY,
SW = 15, WX = 5, SZ =12, WZ= 9 Find XY
S
I
W
Z
Х
Y

Answers

Step-by-step explanation:

wz parallel to XYXYS similar WZSXY/WZ=XS/SWXY/9=20/15XY=12

The equation of the line in the graph is y = x + .

Answers

Answer:

Step-by-step explanation:

y=x+b

Cassie is having a party at a restaurant with 5 of her friends. The group's total bill, in dollars, can be represented as the integer -93.

Part A
Explain the meaning of the quotient −936 in terms of Cassie's situation. Include the value of the quotient.

Part B
Cassie states that −936 is equivalent to −936. Is she correct? Explain your answer.

Answers

The meaning of the quotient −936 in terms of Cassie's situation is that the total the total bill is 5616

It should be noted that Cassie states that −936 is equivalent to −936. This is correct.

How to illustrate the information

It should be noted that it was stated that Cassie is having a party at a restaurant with 5 of her friends and the group's total bill, in dollars, can be represented as the integer -936.

Therefore, it should be noted that the total bill will be:

= 936 × 6

= 5616

It should be noted that Cassie states that −936 is equivalent to −936. This is correct

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What is the equation of the line that passes through the point (-6,2)(−6,2) and has a slope of -3/2?

Answers

Given:

A line passes through the point (-6,2) and has a slope of [tex]-\dfrac{3}{2}[/tex].

To find:

The equation of line.

Solution:

If a line passes though a point [tex](x_1,y_1)[/tex] and has a slope m, then the equation of line is

[tex]y-y_1=m(x-x_1)[/tex]

The line passes through the point (-6,2) and has a slope of [tex]-\dfrac{3}{2}[/tex]. So, the equation of line is

[tex]y-2=-\dfrac{3}{2}(x-(-6))[/tex]

[tex]y-2=-\dfrac{3}{2}(x+6)[/tex]

[tex]y-2=-\dfrac{3}{2}(x)-\dfrac{3}{2}(6)[/tex]

[tex]y-2=-\dfrac{3}{2}(x)-9[/tex]

Add 2 on both sides.

[tex]y=-\dfrac{3}{2}(x)-9+2[/tex]

[tex]y=-\dfrac{3}{2}x-7[/tex]

Therefore, the equation of line is [tex]y=-\dfrac{3}{2}x-7[/tex].

whats the answer giving brainliest:D lol

Answers

Answer:

D. 60/10

Step-by-step explanation:

find the distance between the points (-5,7) and ( -5,-4)

Answers

Answer:

11

Step-by-step explanation:

please help me I do not understand ​

Answers

Answer:

[tex]b=-\frac{-mx-2x+2m-60}{x};\quad \:x\ne \:0[/tex]

Step-by-step explanation:

Given the expression

[tex]\left(x-2\right)\left(x-m\right)=x^2-bx+60[/tex]

switch sides

[tex]x^2-bx+60=\left(x-2\right)\left(x-m\right)[/tex]

subtract x² from both sides

[tex]x^2-bx+60-x^2=\left(x-2\right)\left(x-m\right)-x^2[/tex]

simplify

[tex]-bx+60=-mx-2x+2m[/tex]

subtract 60 from both sides

[tex]-bx+60-60=-mx-2x+2m-60[/tex]

simplify

[tex]-bx=-mx-2x+2m-60[/tex]

subtract x from both sides;  x≠0

[tex]\frac{-bx}{-x}=-\frac{mx}{-x}-\frac{2x}{-x}+\frac{2m}{-x}-\frac{60}{-x};\quad \:x\ne \:0[/tex]

simplify

[tex]b=-\frac{-mx-2x+2m-60}{x};\quad \:x\ne \:0[/tex]

Thus,

[tex]b=-\frac{-mx-2x+2m-60}{x};\quad \:x\ne \:0[/tex]


Find the slope of the line

Answers

Answer:

3/4

Step-by-step explanation:

My monthly utility bill was $69.86. There was just a rate adjustment and now my bill
is $64.72. To the nearest tenth of a percent, by what percent did my water bill
change?

Answers

I’m sure that It changed by 5.1

Simplify the expression

a. x^2
b. x^3
c. x^1/3
d. x^1/2

Answers

Answer:

d

Step-by-step explanation:

When you exponent an exponent with another exponent, you multiply them together

[tex]Answer:\ x^\frac{1}{2}[/tex]

Step-by-step explanation:

[tex](x^\frac{1}{6})^3=\\\\ x^\frac{1*3}{6}=\\\\ x^\frac{3}{2*3} =\\\\x^\frac{1}{2}[/tex]

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