Answer: The length of the base is 10.
Step-by-step explanation:
You can draw an isosceles triangle like the one shown attached.
An isosceles triangle has two equal sides. Then, you can divide it into two right triangles, where the base of each one of them will be:
The hypotenuse of each right triangle shown is 13 and the other legs are (x+7) and x, therefore you can apply the Pythagorean Theorem:
Simplify the expression:
Use the quadratic formula, where:
Then:
Choose the positive value, because lengths are not negative.
Substitute the value of x into the base 2x. Therefore, the answer is:
Answer: 212.5%
Step-by-step explanation: To convert to a percent, we will first need to change to an improper fraction. To write a mixed number as an improper fraction, first multiply the denominator by the whole number and then add the numerator.
8 x 2 = 16
16 + 1 = 17
original denominator = 8.
Improper fraction →
Now, to convert a fraction to a percent, first remember that a percent is a ratio of a number to 100. If we want to convert 17/8 to a percent, we need to find a fraction equivalent to 17/8 that has a 100 in the denominator. We can do this by setting up a proportion.
Now, we can use cross products to find the missing value.
8n = 1700
÷8 ÷8 ← divide both sides by 8
n = 212.5
Therefore, 2 and 1/8 is equivalent to 212.5%.
Answer:
x = 50, y = 140
Step-by-step explanation:
The angles x, 40 and 90 lie on a straight line and sum to 180° , that is
x + 40 + 90 = 180
x + 130 = 180 ( subtract 130 from both sides )
x = 50
The angle vertically opposite x is congruent to x , that is 50°
y = 90 + 50 = 140
Answer:
-0.899
Step-by-step explanation:
In the 4th quadrant, the sine is negative and the cosine is positive. The sine is ...
sin(-arccos(0.437)) ≈ -0.899
_____
You can also use the trig identity ...
sin(x) = -√(1 -cos(x)²) = -√(1 -.190969) = -√.809031 ≈ -0.89946150557
The sine is about -0.899.