A 30-60-90 triangle's short leg has a length of 25. What is the length of the longest leg?

Answers

Answer 1

Answer:

25[tex]\sqrt{3}[/tex]

Step-by-step explanation:

30-60-90 Triangles

short leg = x

long leg = x[tex]\sqrt{3}[/tex]

hypotenuse = 2x


Related Questions

If p and q vary inversely and p is 9 when q is 16, determine q when pis equal to 18.​

Answers

Answer:

[tex]p \: \alpha \: \frac{1}{q} \\ p = \frac{k}{q} \\ k \: is \: a \: constant \: of \: proportionality \\ when \: p \: is \: 9.. \: \: q = 16 \\ 9 = \frac{k}{16} \\ k = 144 \\ when \: p \: is \: 18 : \\ 18 = \frac{144}{q} \\ q = \frac{144}{18} \\ q = 8[/tex]

Use the tree diagram below to answer the question how many outcomes are there that contain blue shirts

Answers

3 because there is only small medium and large

Answer:

3

Step-by-step explanation:

i got it right on my test

2. Find the base of a triangle which has an area of 2 1/4 square inches, and a height of 1/8 in. ​

Answers

Answer:

36 inches

Step-by-step explanation:

Given data

Area of triangle =2 1/4 square inches

Area =9/4 square inches

Height of triangle =1/8 inches

We know that the expression for the area of triangle is

Area = 1/2Base *Height

9/4=1/2*Base *1/8

9/4=Base/16

Cross multiply

16*9=Base*4

144=Base*4

Base =144/4

Base=36 inches

The graph of f(x) = |x – h| + k contains the points (–6, –2) and (0, –2). The graph has a vertex at (h, –5). Describe how to find the value of h. Then, explain how this value translates the graph of the parent function.

Answers

Answer:

ty

Step-by-step explanation:

mtj

can someone pls help for brainlest

Answers

Answer:

27 in^3

Step-by-step explanation:

3 * 3 * 3 = 27 in^3

Answer:

27 cubic inches

Step-by-step explanation:

Volume = L × B × H

= 3 × 3 × 3

= 27 in³

If carpet costs $11 a square yard including padding and installation, what would it
cost to carpet a room measuring 14ft. by 20ft? (Note: 3 feet = 1 yard)
Round to the nearest dollar.
$1386
o $374
$342
o $1027
o$3080

Answers

Answer:$342

Step-by-step explanation: First we convert to yards: which gives us 14/3 yards and 20/3 yards. We multiply these to find a combined area of 280/9 yards, which we then multiply to get 280*11/3. Simplify to get 342.22 repeating, which rounds to 342.

Factor the expression x^2+6x+8

Answers

This is not the real answer but 3 to the power of 3 is 27 not 9

Pleasee help with this question asap I’m begging y’all

Answers

Answer:  a = 10

==================================================

Work Shown:

[tex]y = \frac{4x+30}{x+5}\\\\y = \frac{4x+20+10}{x+5}\\\\y = \frac{(4x+20)+10}{x+5}\\\\y = \frac{4(x+5)+10}{x+5}\\\\y = \frac{4(x+5)}{x+5}+\frac{10}{x+5}\\\\y = 4+\frac{10}{x+5}\\\\[/tex]

Therefore, a = 10

--------------

As an alternative approach, we could work in reverse like this:

[tex]y = 4+\frac{a}{x+5}\\\\y = 4*\frac{x+5}{x+5}+\frac{a}{x+5}\\\\y = \frac{4(x+5)}{x+5}+\frac{a}{x+5}\\\\y = \frac{4(x+5)+a}{x+5}\\\\y = \frac{4x+20+a}{x+5}\\\\[/tex]

Then notice that the 20+a must be 30, so solving 20+a = 30 leads to a = 10

--------------

As yet another alternative approach (well I suppose it's actually 2 extra approaches) we could use either polynomial long division or synthetic division. Either way, you should end up with a remainder of 10, which corresponds directly to a = 10

Please help me! That would be great if you can.

Answers

Answer should be 3 I’m pretty sure
Yup its pretty much 3

last one!!
pls help!!

Answers

Answer:

1) Slope = 2; y-intercept = 3

2) Slope = -3.7; y-intercept = 18

what you would do if Jesus came to your house.

Answers

Answer:

Give him a Big hug and be so happy

Ask him all the questions that I have by my thinking marathon at 3 a.m.

whats the anserw plz (8x+10y)+(-4x-3y) i need help!!!

Answers

Answer:

me :- mighty assassin-,-

xd

Holly checked her answer to a division problem by estimating the quotient. Which is the best estimation of the
quotient?
5.97)
23.584
4
5
6
7

Answers

Answer:

4

Step-by-step explanation:  6 22 22  04

it looks like you want to divide 23.584 by 5.97

to estimate this 23.584 is close to 24 and 5.97 is really close to 6

24/6  = 4

84784+24849+748429+123456

Answers

Answer:

981,518

Step-by-step explanation:

Have a nice day :)

Which expression is equivalent to the following complex fraction?

1/x-1/y
_____
1/x+1/y

Answers

Answer:

b

Step-by-step explanation:

1/x-1/y

Answer:b

Step-by-step explanation:math

please help me answer this

Answers

9514 1404 393

Answer:

  B, C, D

Step-by-step explanation:

You can solve for x, or you can try x=3.5 to see if that makes the equation true. Here, we decided to solve for x.

A. x =(8×3 -3)/7 = 3

B. x = 15 -11.5 = 3.5

C. x = (34 -6)/8 = 3.5

D. x = 15.5 -12 = 3.5

E. x = 20 -15.5 = 4.5

(NEED HELP ASAP) The map is similar to the map from the previous unit. The x-axis runs from -110 to +110. For the y-axis, the values run from -80 to +80. Each tick mark on the axes has the value of 5 m (so each square on the grid represents 10 m). The additional path, Archimedes Alley has been added to the map.
The standard form for one of the three equations is 9x - 20y - 900 = 0.
i) Determine the x- and y-intercepts for the line.
ii) Identify its equivalent equation in slope y-intercept form.
iii) Explain how you chose the equation in slope y-intercept form.

Answers

First oneeeewweemdjdjjdjdjjdid


What is the mean?
-1 -1 -4 -5 -4 -4 -7 -8

Answers

Answer:

Nagative numbers(numbers smaller than 0)

PLS HELP ASAPPPPPPPPPPPPPP











Answers

Answer:

G

Step-by-step explanation:

36+36=72

180-72=108

360-(108×2)

144

144÷2

72

A power company calculates a person's monthly bill from the number of
kilowatt-hours (kWh), x, used.
The function b(x) = {
0.15x,
x < 200
0.10 (x - 200) + 30, 2 > 200
determines
the bill.
How much is the bill for a person who uses 700 kWh in a month?
A. $100
оо
B. $80
O C. $105
O D. $95
PREVIOUS

Answers

Answer: (b)

Step-by-step explanation:

Given

Function for bill calculation is

[tex]\Rightarrow b(x)=\left \{ {{0.15x\quad \quad \quad \, \ \ \ \ x<200} \atop {0.1(x-200)+30\quad x>200}} \right.[/tex]

The consumption is 700 kWh i.e. more than 200

Therefore, bill is given by the second function i.e. [tex]0.10(x-200)+30[/tex]

Substitute 700 for x to get the bill

[tex]\Rightarrow 0.1(700-200)+30\\\Rightarrow 50+30=\$80[/tex]

Hence, option (b) is correct.

identify the precision unit for the measuring tool below​

Answers

The answer is 0.1 cm

Let a=2 and b=1, find the value of 2a + 3b

Answers

Answer:

7 is a answer

Step-by-step explanation:

2a+3b

2×2+3×1

4+3

7

hope it helps....

[tex] \sf a = 2,\: b = 1[/tex]

[tex] \sf Q) \:2a + 3b = {?}[/tex]

[tex] \sf \implies 2a + 3b[/tex]

[tex] \sf \implies 2(2) + 3(1)[/tex]

[tex] \sf \implies 4 + 3[/tex]

[tex] \sf \implies 7[/tex] is the required answer.

Find the missing
angle please hurryyy

Answers

The answer:
35.92 I think
Hope it helps:)

Which of the following is the value of 2x3 + 5x + 9 wher
x= 10?

Answers

Answer:

Ans = 65

Step-by-step explanation:

2x3 + 5x + 9

2x3 + 5x10 + 9

6 + 50 + 9

56 + 9

= 65

Which is the correct answer!!!

Answers

Answer:

the answer is the alphabet a

Solve for xxx in the diagram below.

Answers

the answer is 6
5 times 6 = 30
54 plus 6 =60
and that is a 90 degree angel

What is the total Jeff has a painted

A. 180 square inches

B.40 square inches

C.100 square inches

D.90 square inches

Answers

Answer:

180 square inches

Step-by-step explanation:

let separate the figure and form two rectangles

first rectangle

length = 10 in

breadth = 9 in

let's find its area

area =l*b

=10*9

=90 in.^2

second rectangle

length = 15 in.

breadth = 6 in.

area =l*b

=15 *6

=90 in.^2

area of a whole he painted =area of first rectangle + area of second rectangle

=90 + 90 in.^2

=180 in .^2

PLEASE HELP
2. If f(x) = 3x2 – 7x + 2, then f(- 1) = ?
(A) 18
B. 12
C.-2
D.-8.

Answers

Answer:  B. 12

Step-by-step explanation:

f(x) = 3x2 – 7x + 2

f(- 1) = ?

f(-1)=3(-1)^2-7(-1)+2

     =3(1)+7+2

     =3+7+2

      =12

You roll a number cube. Find the probability and write your answer in the simplest form. P(4)= ------------------------------------------- P(not a 2) = ------------------------------------ P(3 or 5) = ------------------------------------

Answers

Answer:

[tex]P(4) = \frac{1}{6}[/tex]

[tex]P(\text{not a 2}) = \frac{5}{6}[/tex]

[tex]P(\text{3 or 5}) = \frac{1}{3}[/tex]

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Number cube:

A number cube is a dice, which has six sides, numbered 1 to 6.

P(4)

One the sides is a 4, thus:

[tex]P(4) = \frac{1}{6}[/tex]

P(not a 2)

Of the 6 sides, one is a 2, and the other 5 are not 2. So

[tex]P(\text{not a 2}) = \frac{5}{6}[/tex]

P(3 or 5)

One sides is 3, other is 5, 1 + 1 = 2. So

[tex]P(\text{3 or 5}) = \frac{2}{6} = \frac{1}{3}[/tex]

A rectangle is removed from a right triangle to create the shaded region shown below. Find the area of the shaded region. Be sure to include the correct unit in your answer.

Answers

Answer:

See below.

Step-by-step explanation:

Length * width

4 * 3 = 12 ft[tex]^2[/tex]

Answer:

24 square feet

Step-by-step explanation:

Area = area of triangle - area of rectangle

[tex]Area \ of \ triangle = \frac{1}{2} \times base \times height =\frac{1}{2} \times(4 +5) \times (5+3) = 9 \times 4 = 36 \ ft^2\\\\Area \ of \ rectangle = Length \times Breadth = 3 \times 4 = 12 \ ft^2\\\\\\Area \ of \ the\ shaded \ region = 36 - 12 = 24 \ ft^2[/tex]

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