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3 years ago

Using the distributive property of multiplication for 12:(8+7) we get

1 answer:

5 0

Answer: 180

Step-by-step Explanation:
The first thing you need to do is know what order to go in, for example ‘pemdas’. (Parentheses, exponents, multiplication, division, additions, and subtraction.)
The first step is going to be the parenthesis so, 8 + 7 = 15. The second step is going to be to distribute, which is multiplication so,
12 x 15 = 180. The last step is to make sure you went through ‘pemdas’ all of the way.

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3.8*10 to the 9th power divided by 4*10 to the 2nd power

user100 [1]

Answer:

$9.5\times 10^{6}$

Step-by-step explanation:

1. Divide the coefficients and the exponentials separately

$\dfrac{3.8 \times 10^{9}}{4 \times 10^{2}} = \dfrac{3.8}{4} \times \dfrac{10^{9}}{10^{2}}$

2. Divide the coefficients

$\dfrac{3.8}{4} = 0.95$

3. Divide the exponentials

Subtract the exponent in the denominator from the exponent in the numerator.

$\dfrac{10^{9}}{10^{2}} = 10^{(9 - 2)} = 10 ^{7}$

4. Re-join the new coefficient and the new exponential

$\dfrac{3.8 \times 10^{9}}{4 \times 10^{2}} = 0.95 \times 10^{7}$

5. Put the new number into standard form

The number before the power of 10 must be greater than or equal to one and less than 10.

Multiply the answer by 10/10.

$(0.95 \times 10^{7}) \times \dfrac{10}{10} = (0.95\times10) \times \dfrac{10^{7}}{10} = \mathbf{9.5\times 10^{6}}$

5 0

3 years ago

What is the length of one leg of the triangle? 11 units 11/units 22 units 22/2 units

son4ous [18]

Answer:

The length of one leg of the triangle is 22 units

Step-by-step explanation:

The complete question in the attached figure

Let

x ----> the length of one leg of the triangle

we know that

In the right isosceles triangle of the figure

The cosine of angle of 45 degrees is equal to the adjacent side to angle of 45 degrees divided by the hypotenuse

$cos(45\°)=\frac{x}{22\sqrt{2}}$ ---> equation A

$cos(45\°)=\frac{\sqrt{2}}{2}$ ----> equation B

equate equation A and equation B and solve for x

$\frac{x}{22\sqrt{2}}=\frac{\sqrt{2}}{2}$

$x=\frac{\sqrt{2}}{2}(22\sqrt{2})=22\ units$

therefore

The length of one leg of the triangle is 22 units

4 0

3 years ago

(03.06 LC) The function f(x) = −4(x+1)2+21-4(x+1)2+21 has been rewritten using the completing-the-square method. The function g(

Marizza181 [45]

The functions f(x) = –(x − 1)2 + 5 and g(x) = (x + 2)2 − 3 have been rewritten using thecompleting-the-square method.

6 0

3 years ago

Find h(-9) for the function: h(x)= 1 + 7x

Anni [7]

Answer:

-62

Step-by-step explanation:

= 1 + 7 (-9)

= 1 + (-63)

= 1 - 63

= - 62

4 0

3 years ago

Identify the sets that contain 2 as an element. (Check all that apply.)Check All That Apply{2, 3, 4, 5, ...}{2, 3, 4, 5, ...}{0,

Lady bird [3.3K]

Question:

Identify the sets that contain 2 as an element. (Check all that apply.)

$A.\ \{2, 3, 4, 5, ...\}$

$B.\ \{0, 1, 4, 9, ...\}$

$C.\ \{2, \{2\} \}$

$D.\ \{\{2\}, \{\{2\}\}\}$

$E.\ \{\{2\}, \{2, \{2\}\}\}$

$F.\ \{\{\{2\}\}\}$

Answer:

$A.\ \{2, 3, 4, 5, ...\}$

$C.\ \{2, \{2\} \}$

Step-by-step explanation:

Required

For which of the options is 2 an element

$A.\ \{2, 3, 4, 5, ...\}$

The elements of this set starts from 2, then 3 and continues as thus.

Hence: 2 is an element

$B.\ \{0, 1, 4, 9, ...\}$

From the given elements in the above set, 2 is not listed.

Hence: 2 is not an element of this set

$C.\ \{2, \{2\} \}$

Here, 2 is listed as an element, 2 is also listed as a subset.

Since 2 is listed as an element, then 2 is an element of the set.

$D.\ \{\{2\}, \{\{2\}\}\}$

Here, 2 is listed as a subset of {2} and also as a subset of subset of {{2}}.

Since 2 is not listed as an element itself, then 2 is not an element of the set.

$E.\ \{\{2\}, \{2, \{2\}\}\}$

Here, 2 is listed as a subset of {2} and also as a subset of subset of {2,{2}}. This set only contains subsets, i.e. 2 is not listed as a direct element of the set.

Hence: 2 is not an element of the set

$F.\ \{\{\{2\}\}\}$

Here, 2 is listed as a subset of subset of {{2}}. This set only contains subsets, i.e. 2 is not listed as a direct element of the set.

Hence: 2 is not an element of the set

5 0

2 years ago

Read 2 more answers