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3 years ago

Find the value of x in the isosceles triangle shown below

Mathematics

1 answer:

melisa1 [442]3 years ago

5 0

Answer:

22.18 = x

Step-by-step explanation:

a^2 + (b)^2 = (x/2)^2

a = sqrt(74)

b = 7

x/2 = ?

(74)[^1/2]^2 = 74

b^2 = 7^2 = 49

74 + 49 = (x/2)^2 Substitute into a^2 + b^2 = c^2

123 = (x/2)^2 Combine like terms

(123^0.5) = x/2 Take the square root of both sides.

11.09 = x/2 Multiply both sides by 2

11.09*2 = x

22.18 = x The full length of the base of the triangle is 22.18

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Simplify (8^4/10^4)^-1/4using rational exponents

Vlad1618 [11]

Answer:

$(\frac{8^4}{10^4} )^{-\frac{1}{4} }$ = $\frac{5}{4}$

Step-by-step explanation:

Explanation

Given

$(\frac{8^4}{10^4} )^{-\frac{1}{4} }$

By using algebra formulas

$(\frac{a}{b} )^{m} = \frac{a^m}{b^n}$

$(\frac{8^4}{10^4} )^{-\frac{1}{4} } = \frac{(8^{4})^{\frac{-1}{4} } }{(10^{4} )^{\frac{-1}{4} } }$

$(a^{m} )^{n} = a^{mn}$

$\frac{(8^{4})^{\frac{-1}{4} } }{(10^{4} )^{\frac{-1}{4} } } = \frac{8^{4X\frac{-1}{4} } }{10^{4 X\frac{-1}{4} } }$

= $\frac{8^{-1} }{10^{-1} }$

$= \frac{10}{8} \\= \frac{5}{4}$

Final answer:-

$(\frac{8^4}{10^4} )^{-\frac{1}{4} }$ = $\frac{5}{4}$

7 0

3 years ago

Please help with number 3!! I can’t figure it out.

FrozenT [24]

Answer:

Gabe worked 65, Abe worked 62 and Babe worked 69.

Step-by-step explanation:

Let Gabe = x

Therefore, Abe worked: x-3 and Babe worked x+4

So,

x+(x-3)+(x+4)=196

3*x+1=196

3*x=195

x=65

Then,

x-3= 62

x+4=69

8 0

3 years ago

If you travel 4 miles around a circle with a radius of 1 mile, what is the central angle (q)?

mixer [17]

Answer:

229.18 degrees

Step-by-step explanation:

The circumference of a circle with radius r is 2×pi×r.

So if it has a radius of 1 mile, then the circumference is 2×pi×1=2pi miles.

So if we travel 4 miles, then the percentage of this circle we traveled is 4/(2pi)=63.66% approximately.

There are 360 degrees in a circle and we want to how much of that rotation belongs to traveling 4 miles of the circumference of a circle that measures 2pi miles. So 63.66%×360 degrees =229.18 degrees.

4 0

2 years ago

20 POINTS FOR 2 QUESTION PLEASE HELP WILL GIVE BRAINLIESTT

Vesnalui [34]

Answer:

8.a 9.acb

Step-by-step explanation:

good luck

8 0

3 years ago

If the mean of the following distribution is 91 and sum of frequencies is 150 find x and y

nydimaria [60]

Answer:

Step-by-step explanation:

Mean = ∑x/ N

91 = ∑x / 150

∑x = 150 * 91 = 13650

x= 6825 and y = 6825

7 0

3 years ago

Find the value of x in the isosceles triangle shown below​

Find the value of x in the isosceles triangle shown below