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Nana76 [90]
3 years ago
12

Question 12 With steps please

Mathematics
1 answer:
34kurt3 years ago
6 0

Answer:\ \boxed{5^2}

\sqrt[n]{a}=a^\frac{1}{n}\\\\\text{therefore}\\\\\sqrt5=5^\frac{1}{2}\\----------------\\25=5^2\\----------------\\78,125=5^7\\----------------\\\text{use}\\\\a^n\cdot a^m=a^{n+m}\\\\\dfrac{a^n}{a^m}=a^{n-m}\\----------------\\\\\dfrac{\sqrt5\times78,125}{25\times5^{\frac{7}{2}}}=\dfrac{5^\frac{1}{2}\times5^7}{5^2\times5^\frac{7}{2}}=\dfrac{5^{\frac{1}{2}+7}}{5^{2+3\frac{1}{2}}}=\dfrac{5^{7\frac{1}{2}}}{5^{5\frac{1}{2}}}=5^{7\frac{1}{2}-5\frac{1}{2}}=\boxed{5^2}

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Use rounding to estimate the product of 1249 and 1194. Round both numbers to the nearest hundred to find your answer.
Troyanec [42]

Answer:

1,440,000

Step-by-step explanation:

1249 is rounded to 1200 because 49 is less than half of 100.

1194 is rounded to 1200 because 94 is more than half of 100.

1200 x 1200 = 1,440,000

8 0
2 years ago
Heeeeeeeeeeelllllllllppppppppppppp
ivolga24 [154]

Answer:

88

Step-by-step explanation:

The area of a triangle is calculated using the following formula:

1/2*b*h (b: base, h: height)

The height here is 11 and the base is 16

1/2*16*11 = 88 units square

3 0
1 year ago
A person standing 154 feet from the base of a church observed the angle of elevation to the church's steeple to be 25∘. How tall
Nookie1986 [14]

Answer:

71.764  feet

Step-by-step explanation:

See attached the rough sketch for your reference

Step one;

Given data

The angle of elevation= 25°

From the triangular diagram, we can see that the height of the church is the opposite, while the distance of the person from the church is the adjacent

Step two:

Applying SOH CAH TOA

tan∅= opp/adj

tan 25= opp/154

0.466= opp/154

cross multiply

0.466*154= opp

opp= height of church = 71.764  feet

4 0
3 years ago
Write words to match expression for (5x2)x (3x15)
liq [111]
Five times two times three times fifteen
7 0
3 years ago
Encuentra la pendiente de la recta formada por los puntos A( 3 , -2 ) Y B( -5 , 3 )
QveST [7]

Answer:

\frac{5}{-8} or -0.625

Step-by-step explanation:

The slope formula is as shown:

m=\frac{y_{2} -y_{1} }{x_{2} -x_{1}}

We can have A = (x_{1},y_{1}) and B = (x_{2},y_{2}).

We can hence plug in the values into the formula to get m=\frac{3-(-2)}{-5-3}.

As we simplify, the negatives on the top row cancel out to give us an addition sign instead and we add them.

m=\frac{5}{-8}

Brainliest would be appreciated!

3 0
2 years ago
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