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BlackZzzverrR [31]
3 years ago
15

Gabe built a toy tower that measured 1 m 78 cm. After building some more, he measured it, and it was 82 cm taller. How tall is h

is tower now?
Mathematics
1 answer:
Leto [7]3 years ago
8 0

Answer:

78 + 82 = 160cm = 1m 60 cm. + 1 m. = 2m 60cm

Step-by-step explanation:

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Add. Simplify your answer and write it as a proper fraction or as a whole or mixed number. 9/ 10 + 4/ 5 =
Serjik [45]
Before adding dissimilar fractions (fractions with different denominator), you have to make the fractions similar first. To make the fractions similar, find the Least Common Multiple of the denominator. In this case, the LCM is 10. Then rewrite the fractions using the LCM as the denominator.
9/10 = 9/10; 4/5 = 8/10
You can now proceed with addition -
9/10 + 8/10 = 17/10 or 1 7/10
3 0
3 years ago
Find (f • g) when f(x) = x^2 + 5x + 6 and g(x) = 1/x+3
Nikitich [7]

Answer:

option D

Step-by-step explanation:

f(x) = x^2 + 5x + 6

g(x)= \frac{1}{x+3}

(fog)(x) = f(g(x))

Plug in g(x) in f(x)

We plug in 1/x+3 in the place of x  in f(x)

f(g(x))= f(\frac{1}{x+3})= (\frac{1}{x+3})^2 + 5(\frac{1}{x+3}) + 6

To simplify it we take LCD

LCD is (x+3)(x+3)

\frac{1}{(x+3)(x+3)}+5\frac{1*(x+3)}{(x+3)(x+3)}+\frac{6(x+3)(x+3)}{(x+3)(x+3)}

\frac{1}{x^2+6x+9}+\frac{(5x+15)}{x^2+6x+9}+\frac{6x^2+36x+54}{x^2+6x+9}

All the denominators are same so we combine the numerators

\frac{1+5x+15+6x^2+36x+54}{x^2+6x+9}

\frac{6x^2+41x+70}{x^2+6x+9}

Option D is correct

8 0
3 years ago
Read 2 more answers
Find the value of x<br>the options are:<br>8<br>97<br>107<br>117<br><br>PLEASE HURRYYY<br><br>​
antiseptic1488 [7]

Answer:

107 degrees

Step-by-step explanation:

All polygon degrees add up to 360

we know that this polygon has a angle of 90 and 56

subtract 90 and 56 from 360 to get 214

Then divide by 2 because there are 2 x angles

to get 107 degrees

3 0
3 years ago
Suppose that a sample of size 100 is to be drawn from a population with standard deviation L0. a. What is the probability that t
NARA [144]

Answer:

The probability that the sample mean will lie within 2 values of μ is 0.9544.

Step-by-step explanation:

Here

  • the sample size is given as 100
  • the standard deviation is 10

The probability that the sample mean lies with 2 of the value of μ is given as

                                            P(| \bar{X}-\mu|

Here converting the values in z form gives

P(-2

Substituting values

P(-2

From z table

P(z\leq 2)=0.9772\\P(z\leq -2)=0.0228\\P(-2\leq z\leq 2)=P(z\leq 2)-P(z\leq -2)\\P(-2\leq z\leq 2)=0.9772-0.0228\\P(-2\leq z\leq 2)=0.9544\\

So the probability that the sample mean  will lie within 2 values of μ is 0.9544.

5 0
3 years ago
An airplane descends 2.2 miles to an elevation of 8.55 miles. Find the elevation of the plane before its descent.
lutik1710 [3]

Answer:

10.75 miles was the elavation before it's decsecent.

Step-by-step explanation:

Hope this helps! :)

7 0
3 years ago
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