In triangle, HIJ, HI = 48, and IJ = 27. What is the range of values for the length third side?

Answer: d

Step-by-step explanation:

Note that the distance to the tower and the height of the tower create a right triangle at the base of the tower.  The equation to find the height of a right triangle is to multiply the length times the tangent of angle β.

Given:

b = a · tanβ

tan(30°) = √3/3

Step 1:  Solve

b = (30/1) · (√3/3)

b = (30 · √3) / (1 · 3)

b = (30√3) / (3)

b = 10√3

Answer:

52 feet

Step-by-step explanation:

This situation can be represented by the attached figure as in the answer area.

Let M be the location of Mary.

Let S be the location of Sue.

Distance between apartments is given as 20 feet.

Distance between ground and balcony of Mary is 40 feet.

There is a right angled [tex]\triangle MOS[/tex].

[tex]\angle OMS = 31^\circ[/tex]

To find:

The distance SO + 40 feet.

We can use tangent ratio here in right angled [tex]\triangle MOS[/tex].

[tex]tan\theta = \dfrac{Perpendicular}{Base}[/tex]

[tex]tan31^\circ = \dfrac{SO}{MO}\\\Rightarrow tan31^\circ = \dfrac{SO}{20}\\\Rightarrow SO=20\times 0.6\\\Rightarrow \bold{SO=12\ ft}[/tex]

Height of Sue above ground = 40+12 = 52 feet

Answer:

7,8,9

Step-by-step explanation:

192/8=24

X+(x+1)+(x+2)=24

3x+3=24

3x=21

x=7

so it’s 7,8,9

the more recent question you asked steps

Apply the fractions formula for multiplication, to

13×45

and solve

1×43×5

=415

Therefore:

13×45=415

Step-by-step explanation:

Answer:

its a right angle

Step-by-step explanation:

Right angles have a 90* angle, which is why they add that little square

Answer:

e

Step-by-step explanation:

Answer:

Look down!!

Step-by-step explanation:

Since two points determine any line, we can graph lines using the x- and y-intercepts. To find the x-intercept, set y = 0 and solve for x. To find the y-intercept, set x = 0 and solve for y. This method of finding x- and y-intercepts will be used throughout our study of algebra because it works for any equation.

Ex.

4=2+2

y=4

x=2

Hope this helps!!

Answer:

Step-by-step explanation:

the y intercept would be 0,2

to find the x intercept plug in a 0 for y

0=-x+2

-2=-x

x=2

the x intercept would be 2,0

so 2,0 0,2 plot those points and draw a line through that. would look something like this

Missing part of question:

Jessica pays a flat rate of $20 for her cell phone and is charged $0.05 for every text she sends.

Answer:

20.00 + 0.05x < 50.00

Step-by-step explanation:

Given

Base Amount = $20

Rate = $0.05 per text

Budget = Less than $50.00

Required

Write an inequality that represents the scenario

Let x represents the number of texts

To solve this, the base amount when added to the amount paid for x text must be LESS THAN Jessica's budget.

Mathematically, we have:

Base Amount + Rate * x < Budget

Substitute values for Base Amount, Rate and Budget, this gives:.

20.00 + 0.05 * x < 50.00

20.00 + 0.05x < 50.00

Hence, the inequality that represents the scenario is 20.00 + 0.05x < 50.00

Solving further for x, we have:

20.00 + 0.05x < 50.00

Collect Like Terms

0.05x < 50.00 - 20.00

0.05x < 30.00

Solve for x

x < 30.00/0.05

x < 600

This means that she must send less than 600 text messages.

Answer:

27

Step-by-step explanation:

PEMDAS : PARENTHESIES, EXPONENTS, MULTIPLY, DIVISIOIN, ADD, SUBTRACT

14/2 + 20

7 +20=27

Answer:

the slope is 2, the y intercept is -5

Step-by-step explanation:

Answer:

the slope is -2

and the y-intercept is -5

Step-by-step explanation:

hope this helps :3

if it did pls mark brainliest

Answer:

D because a right degree angle needs to be 90 degrees

Step-by-step explanation:

Brainliest?

Answer:

it is d because none of the others have 90 degrees (hint a right angle is 90 degrees) hope this helps at all?!

Step-by-step explanation:

Answer:

C. 10

Step-by-step explanation:

Answer:

C= 10

Step-by-step explanation:

Answer:

w = 24

Step-by-step explanation:

[tex]\frac{5w}{8}[/tex] = 15

Multiply both sides by 8.

5w = 15 × 8

     = 120

Find w.

w = 120 ÷ 5

w = 24

Answer:

To the 4th power

Step-by-step explanation:

Answer:

70.7604097 in kilograms rounded would be 70.8 kilograms

Step-by-step explanation

Answer:

-18+4

Step-by-step explanation:

try to multiply -6 into the (3x-2/3) then I guess you get the answer

Answer:

−18x+4

Step-by-step explanation:

Answer: 256

Step-by-step explanation:

2^8=2*2*2*2*2*2*2*2=256

Answer:

1.2541 x^2

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

I found the answer

Answer: 4 and 5

Step-by-step explanation: supplementary is 2 angles that sum up to 180 degrees

Answer:

Angle 4 and angle 5

Step-by-step explanation:

Supplementary means that both angles add up to 180 degrees

Answer:

4/5 is 80 as a percentage because 0.8 is written as 80% in percentage.

Answer:

1)

[tex]L=18 \frac{1}{2} in[/tex]

[tex] W= 9 \frac{1}{4} in[/tex]

2)

[tex]T_{1}=14 balls[/tex]

[tex]T_{2}=7 balls[/tex]

[tex]T_{3}=3 balls[/tex]

Step-by-step explanation:

In order to solve this problem, we need to build the equations we need. Since there are two values we want to figure out (length and width) we will then need two equations to solve simultaneously.

First, the problem tells us that the perimeter is 55 1/2 in, which can be rewritten as an improper fraction:

[tex]55 \frac{1}{2}= \frac{55*2+1}{2}= \frac{111}{2}[/tex]

Next, we also know the perimeter of a rectangle is found by using the following formula:

P=2L+2W

where L is the length of the rectangle and W is its width.

So our first equation will look like this:

[tex]2L+2W=\frac{111}{2}[/tex]

Next, the problem tells us that the width of the rectangle is twice its width, so our second equation will look like this:

L=2W

which can be substituted into our first equation:

[tex]2L+L=\frac{111}{2}[/tex]

Now, we can solve this for L, so we get:

[tex]3L=\frac{111}{2}[/tex]

[tex]L=\frac{111}{2*3}[/tex]

[tex]L=\frac{111}{6}=18 \frac{3}{6}=18 \frac{1}{2}[/tex]

so we can now use this information to find its width:

L=2W

[tex] \frac{111}{6}=2W[/tex]

so

[tex]W=\frac{111}{6*2}[/tex]

[tex]W=\frac{111}{12}=9\frac{3}{12}=9\frac{1}{4}[/tex]

2)

When solving this problem it is a good idea to split it into little chunks of information. The first sentence says:

"... "teacher 1" shoots twice as many airballs as "teacher 2"."

This can be translated as an equation like this:

[tex]T_{1}=2T_{2}[/tex]

The next sentence says:

""teacher 3" shoots 4 airballs less than "teacher 2"."

This can be written as an equation like this:

[tex]T_{3}=T_{2}-4[/tex]

and finally, the problem states: "... they shot 24 airballs together,..."

This can be written as an equation like this:

[tex]T_{1}+T_{2}+T_{3}=24[/tex]

so now we can do substitutions. We can take the first and second equations and write them into the third equation so we get:

[tex]2T_{2}+T_{2}+T_{2}-4=24[/tex]

so now we can solve this equation for [tex]T_{2}[/tex], so we get:

[tex]2T_{2}+T_{2}+T_{2}=24+4[/tex]

[tex]4T_{2}=28[/tex]

[tex]T_{2}=\frac{28}{4}[/tex]

[tex]T_{2}=7[/tex]

and once we got this answer, we can find the remaining two answers:

[tex]T_{1}=2T_{2}[/tex]

[tex]T_{1}=2(7)[/tex]

[tex]T_{1}=14[/tex]

and

[tex]T_{3}=T_{2}-4[/tex]

so we get:

[tex]T_{3}=7-4[/tex]

[tex]T_{3}=3[/tex]

Answer:

1)

Step-by-step explanation:

1)

Answer:

19

Step-by-step explanation:

2x+7=45

2x=38

X=19

I hope this helps

Answer:100 times 90 times 5 plus 5 is

Step-by-step explanation:45005 plz give brainlyist i Need it

Answer:

27

Step-by-step explanation:

bhdhdhhdhddfdfffjdudhfjf 27