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Rom4ik [11]
3 years ago
13

Given a 30-60-90 triangle whose shortest leg is 3 centimeters what is the length of the hypotenuse

Mathematics
1 answer:
Neporo4naja [7]3 years ago
8 0

the lenght of the hypotenuse is determined either by taking into account sin 30, respectively sin60 and/or cos60, respectively cos30.

Sin 30 = cos60=1/2

the opposite line to the 30 degrees angle is (in this case) called "the shortest leg"

Therefore the value of the hypothenuse is 30×2=60mm

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To make 3/4 pound of mixed nuts, how many pounds of cashews would you add to 1/8 pound of almonds and 1/4 pound of peanuts?
Anna11 [10]

you will need 3/8 pounds of peanut.

3/8 + 1/4 + 1/8= 3/4

(ask me if you are confuse plz)

7 0
3 years ago
The sum of three consecutive even integers is -78. What is the smallest integer? Show all working outs (5)
svet-max [94.6K]

Answer:

The smallest integer is -27 and the integers are -27, -26, and -25

Step-by-step explanation:

We can represent this with:

x + x - 1 + x - 2 = -78

Simplify.

3x - 3 = -78

Add 3 to both sides.

3x = -75

Divide both sides by 3.

x = -25

So, the first integer is -25.

Subtract two to get the smallest integer.

-25 - 2 = - 27

3 0
3 years ago
View the screenshot and answer please. 20 points will give brainliest!
Paul [167]

Answer:

Right angle triangle goes to 15m, 8m, 17m

Step-by-step explanation:

Square root of 15^2 + 8^2 is 17

(The use of a^2 + b^2 = c^2 - Pythagoras's Theorem)

So, 10m ,11m ,15m isn't a right angle triangle

Hope this helps!

6 0
2 years ago
Find the value of x. Round to the<br> nearest tenth.<br> Х<br> 9<br> 4<br> x = [ ?]°
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3 0
2 years ago
Find equation of a line with the given slope that passes through the given point. Write the equation in the form Ax + By = C.
attashe74 [19]

Answer:

5x + y = -28

Step-by-step explanation:

Hi there!

We're given that a line has a slope of -5 and contains the point (-4, -8)

We want to write the equation of this line in standard form

Standard form is given as ax+by=c, where a, b, and c are free integer coefficients, but a and b cannot be zero, and a cannot be negative

Before we write the equation in standard form however, we need to write it in slope-intercept form, which is y=mx+b, where m is the slope & b is the y intercept

As we are already given the slope, we can immediately plug that in for m in y=mx+b

y=-5x+b

Now to find b:

As the equation passes through the point (-4, -8), we can use its values to help solve for b

Substitute -4 as x and -8 as y:

-8 = -5(-4) + b

Multiply

-8 = 20 + b

Subtract 20 from both sides

-8 = 20 + b

-20  -20

__________

-28 = b

substitute -28 as b

y = -5x - 28

We found the equation in slope-intercept form, but remember, we want it in standard form

In standard form, both x and y are on the same side; so, let's move 5x to the other side; to do this, we need to add 5x to both sides

y = -5x - 28

+5x +5x

_________

5x + y = -28

Hope this helps!

3 0
2 years ago
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