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Hey there! I'm happy to help!

In a 30-60-90 triangle, the shorter leg is always 1/2 of the hypotenuse. This can be proven using many different methods and there a lot of interesting videos out there about it. This is useful in geometry, trigonometry, and more.

So, if we know that the shortest leg is 12, we can make the following equation. We will have h represent the hypotenuse.

1/2h=12

Now, we simply divide both sides by 1/2 (which is the same as multiplying both sides by two.

h=24

Therefore, the hypotenuse is C) 24.

I hope that this helps! Have a wonderful day!

Answer:

Answer B is correct

Step-by-step explanation:

Congruent - SAS

LM = OP (side)

MN = PQ (side)

<M = < P ( angle)

hope this helps

brainliest appreciated

good luck! have a nice day!

Yes, ΔLMN ≅ ΔPQO. The postulate that applies as congruent is SAS. The correct answer is B.

Two triangles are said to be congruent if their corresponding sides and angles are equal.

Given,

side LM ≅ side OP

side MN ≅ side PQ

∠M = ∠P

As per the shown figure, we have two triangles consist:

LM = OP (side)

∠M = ∠P ( angle)

MN = PQ (side)

According to Side-Angle-Side criterion, two triangles are congruent if the two sides and the included angle of one triangle are equal to the corresponding sides and the included angle of the other triangle.

Thus, ΔLMN congruent to ΔPQO.

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Hello !

((new value - old value) / old value) × 100

((30.60 - 25.50) / 25.50) × 100

= (5.10/25.50) × 100

= 0.2 × 100

= 20

→ The rate of increase is 20%

× × i hope i helped you ! × ×

Answer:

112    111  000 333  444  555  666  777  88  99900   1

Step-by-step explanation:

111  112  110  999  444  911  333 3333  33333333

Answer:

SA. = 62.8 +87.92= 150.72

Step-by-step explanation:

surface area of cone without base = pi*r*s = 3.14 * 2* 10 = 62.8

Surface area of cylinder without base = 2*pi*r*h + pi*r*r

                                                               = 2* 3.14 * 2 * 6 + 3.14*2*2

                                                               = 75.36 + 12.56 = 87.92

SA. = 62.8 +87.92= 150.72

The required surface area of the solid is 150.72.

Given
slant length of cone = 10
length of cylinder = 6  
Common radius = 2

Surface area is defined as the area of the surface that are uncovered.

Surface area of cone = π x r xs
= 3.14 x 2 x 10
= 62.82

Surface area of cylinder  = 2 x π x r x h + π x r²
= 2 x 3.14 x 2 x 6 + 3.14 x 2 x 2
= 87.9
The required surface area of solid= surface area of cone + surface area of cylinder
= 62.80 + 87.9
= 150.72

Thus, the required surface area of the solid is 150.72.

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Answer:

1/-2

Step-by-step explanation:

-4+6/-6+2

Answer:

-1/2

Step-by-step explanation:

Answer:

1600cm³

Step-by-step explanation:

Volume of a cylinder = πr²h

area of a circle = πr²

area of base circle = 200cm²

h = 8

200 * 8

= 1600cm³

Answer:

Volume is 1600 cm ^3

Step-by-step explanation:

V= Base area x Height

h= 8 cm

B.A.= 200 cm^2

Answer:

I'm not 100% sure (sorry), but i think that the overall average speed was about 139 miles per hour

Step-by-step explanation:

Answer:

460 kilometers

Step-by-step explanation:

The 262,400 solar cells cover around 27,000 square feet (2,500 m2) of space. 240 kilowatts of electricity can be generated from these solar arrays.which is an acre of solar panels and enough to power 10 average- sized homes with 110 kilowatts of power. The ISS orbits between 370 and 460 kilometers (230–286 miles) above Earth's surface.

Answer:

The total area of the top surface of all 16 solar panels should be 153,600 feet because the total area of one solar panel is 9,600 feet so since i need the total area of 16 i just multiply the total area of one solar panel with the amount of solar panels that i was given.

Step-by-step explanation:

Answer:

1) y=1/2x+12

2)y=-2x+13

3) Parallel lines have same slope, different y intercept and perpendicular lines have opposite reciprocal slopes.

Step-by-step explanation:

Answer:

Below in bold.

Step-by-step explanation:

Y = mx + b is the slope-intercept form of a straight line where  m = the slope of the line and b is the y-intercept.

Parallel lines have the same slope so the equation of a line parallel to

y = 1/2x + 13 could be  y =1/2x + 10 as they have the same slope of 1/2.

Equations which are perpendicular:

If the slope of one  is m then the slope of the perpendicular equation is -1/m.

So for y = 1/2 x + 13  an equation perpendicular could be y=  -(1 / 1/2) + 13

= y = -2x +  13

Answer: n/2, n/2+1

Step-by-step explanation:

Consecutive numbers are always 1 more than the previous (n, n+1, n+2, n+...), and their sums are (like) n+n+1 or 2n+1 (n is the first number).

So in this situation (x is the first number);

n+1=x+x+1

n=x+x, n=2x

n/2=x

Meaning that the first number is n/2, and the second (n/2)+1 or just n/2+1.

I'm bad at explaining.

Answer:

− 20 x ^2 + 5 x − 6

Step-by-step explanation:

Answer:

[tex]-20x^2+5x-6\\[/tex]

Step-by-step explanation:

Start by removing the grouping symbols (parentheses) using the sign rules:

[tex](-5x^2+2x+6)-(9x^2+2x+9)+(-6x^2+5x-3)=\\=-5x^2+2x+6-9x^2-2x-9-6x^2+5x-3[/tex]

Then we re-order and combine like terms:

[tex]-5x^2+2x+6-9x^2-2x-9-6x^2+5x-3=\\=-5x^2-9x^2-6x^2+2x-2x+5x+6-9-3=\\=-20x^2+5x-6[/tex]

Answer:

Figuring out distance, time and cost for travel

shopping for the best price

Step-by-step explanation:

Look at the attached picture

Hope it will be helpful to you....

-pragya~~

Answer:

52.25%

Step-by-step explanation:

Answer rounded

Answer:

50% increase

Step-by-step explanation:

Hope this helps :)

Answer:

-1

Step-by-step explanation:

in statistics, the correlation coefficient r measures the strength and direction of a linear relationship between two variables on a scatterplot. The value of r is always between +1 and –1. To interpret its value, see which of the following values your correlation r is closest to: Exactly –1.

hope this help

Answer:

the first graph

Step-by-step explanation:

Answer:

Option D.

Step-by-step explanation:

If Stefani slices the pyramid

Option A). parallel to the base through vertex, cross section will not be a trapezoid.

Option B). perpendicular to the base through the vertex, cross section will be a triangle.

Option C). parallel to the base but not through the vertex, cross section will be a rectangle.

Option D). Perpendicular to the base but not through the vertex, cross section will be a trapezoid.  

The correct option is B.

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable).

As per the given data:

We are given 2 graphs in the diagram.

We are also given the equation of f(x) with its graph.

Furthermore, we have to find out the equation of g(x) from its graph.

We can see that the blue graph is just the red graph with its axis moved 2 units to the right.

We can find the horizontal transformation by:

g(x) = f(x - h)

Where h is the number of units we shift (to the right).

Since we shifted two units to the right, h = 2.

So, our new function will be:

g(x) = (x - 2)²

The correct option is B.

Hence, The correct option is B.

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(The given question is incomplete, the complete question is given below)

The graphs below have the same shape. What is the equation of the blue

graph?

f(x) = x²

g(x) = ?

A. g(x) = x² - 2

B. g(x) = (x - 2)²

C. g(x) = x + 2

D. Q(x) = (x + 2)²

Answer:

750,000 mm^3

Step-by-step explanation:

1 liter = 1000 cm^3

1 cm^3 = 1000 mm^3

0.75 liter * (1000 cm^3)/(1 liter) * (1000 mm^3)/(1 cm^3) = 750,000 mm^3

Answer:

do you still need the answer?

Step-by-step explanation:

Answer:B

Step-by-step explanation:

Thats right

Answer:

add -15 and 9

Step-by-step explanation:

Hey!!!

Here's your answer:

<A=7x+40

<B=60 degree

7x+40+60=180( sum of angle in straight line)

or,7x+100=180

or,7x=180-100

or,7x=80

or,X=80/7

X=11.42

Now,

Replacing value,

<A=7x+40

=7*11.42+40

=79.94+40

= 119.94 degree

<B=60 degree

<C=<A[ being vertically opposite angles]

<C=119.94 degree

<D=<B[being vertically opposite angles]

<D=60 degree

<W=<A[ being corresponding angles]

<W=119.94 degree

<X=<B[being corresponding angles]

<X=60 degree

<Y=<W[being vertically opposite angles]

<Y=119.94 degree

<Z=<X[being vertically opposite angles]

<Z=60 degree.

Hope it will help you

Good luck on your assignment

Answer:

2. 10 and 14

Step-by-step explanation:

10 and 14 are the only numbers that are 4 apart.

Complete Question

Given the right triangle(SEE ATTACHED), find tan(α)

Answer:

(A) [tex]\tan(\alpha)=\dfrac{24}{7}[/tex]

Step-by-step explanation:

In the given right triangle,

From Trigonometry, we know that:

[tex]\tan(\alpha)=\dfrac{Opposite}{Adjacent}[/tex]

We determine the unknown side using Pythagoras theorem.

Let the unknown side be x

[tex]25^2=24^2+x^2\\x^2=25^2-24^2\\x^2=49\\x^2=7^2\\x=7$ units[/tex]

Therefore:

[tex]\tan(\alpha)=\dfrac{24}{7}[/tex]

The correct option is A

Answer:

ITS 7/25

Step-by-step explanation:

Answer:

shape and size

Step-by-step explanation:

When two triangles are congruent, they are the same via the size of it such as the angles they have. If one triangle has 30-60-90, the other also has 30-60-90, with the same shape.

Answer:

Size and shape.

Step-by-step explanation:

Size and shape.

All three angles and all three sides are congruent.

Answer:

D

Step-by-step explanation:

Happy I could help!

Answer:

The answer is at least 360 degrees.

Step-by-step explanation: A circle can't have more that a 360 degrees!

Answer:

<2 and <4 = 74 degrees

Step-by-step explanation:

<7=<1, alt exterior angles

<1=<3, opposite angles

<1+<2= 180

since angle one is 106 just subtract 106 from 180 and you get 74= <2

<2 and <4 are opposite angles so they are congruent

therefore, <2 and <4 = 74 degrees.