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2 years ago

Estimate the product. Choose a method 33 X 76

2 answers:

6 0

The method I'll be presenting is the old traditional way, hehe.

33
x 76
——

1) 3 x 6 is 18.

1
33
x 76
——
8

2) Again, 3 x 6 is 18, adding 1 (since you carry the 1 in 18 over) is 19.

1
33
x 76
——
198

3) 3 x 7 is 21.

2 1
33
x 76
——
198
1

4) Once again, 3 x 7 is 21, plus 1 is 23.

2 1
33
x 76
——
198
231
———

4) Now we add 198 + 231.

33
x 76
——
1 198 (PS. carry the
231 one in 1+9)
———
2508

5) Now we round, in this case we shall round to the nearest thousand since it makes sense too.

2,508
^
Take a look at the thousands place, which is two.

2,508
^
To the right of 2 is 5. Any number to the right between 5-9 you add one to the place value and zap the rest of the numbers to the right to 0. So...

2,508 rounded is
3,000

The answer is 3,000.

Hoped I helped!

Serhud [2]2 years ago

3 0

Use the tens.Try 30x80. 76 rounds up to 80 and 33 rounds down to 30.

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Find the arc measure of AB. The measure of arc AB = ______ degrees

mariarad [96]

The picture is difficult to read, but it looks like
∠ADB = 2x²
∠ACB = 10x
These two angles have equal measure, so you have
2x² = 10x
2x(x -5) = 0 . . . . . subtract 10x and factor
x = 0, or x = 5

The measure of arc AB is twice the measure of either inscribed angle, so would be
arc AB = 2×10x
= 2×10×5
= 100 . . . . . degrees

Arc AB is 100°.

7 0

2 years ago

Solve for x write the exact answer using either base -10 or base-e logarithms

jeka57 [31]

Given:

The given expression is $2^{x+5}=13^{2 x}$

We need to determine the value of x using either base - 10 or base - e logarithms.

Value of x:

Let us determine the value of x using the base - e logarithms.

Applying the log rule that if $f(x)=g(x)$ then $\ln (f(x))=\ln (g(x))$

Thus, we get;

$\ln \left(2^{x+5}\right)=\ln \left(13^{2 x}\right)$

Applying the log rule, $\log _{a}\left(x^{b}\right)=b \cdot \log _{a}(x)$ , we get;

$(x+5) \ln (2)=2 x \ln (13)$

Expanding, we get;

$x \ln (2)+5 \ln (2)=2 x \ln (13)$

Subtracting both sides by $5 \ln (2)$ , we get;

$x \ln (2)=2 x \ln (13)-5 \ln (2)$

Subtracting both sides by $2 x \ln (13)$ , we get;

$x \ln (2)-2 x \ln (13)=-5 \ln (2)$

Taking out the common term x, we have;

$x( \ln (2)-2 \ln (13))=-5 \ln (2)$

$x=\frac{-5 \ln (2)}{\ln (2)-2 \ln (13)}$

$x=\frac{5 \ln (2)}{2 \ln (13)-\ln (2)}$

Thus, the value of x is $x=\frac{5 \ln (2)}{2 \ln (13)-\ln (2)}$

6 0

3 years ago

A line has a slope of -3 and includes the point (-5,4) and (-7,q). What is the value of q

serious [3.7K]

Answer:

q = 10

Step-by-step explanation:

$\text{slope} =-3=\frac{q-4}{-7-(-5)} =\frac{q-4}{-2} \\\Longrightarrow -3=\frac{q-4}{-2} \\\Longrightarrow \left( -3\right) \times \left( -2\right) =q-4\\\Longrightarrow 6=q-4\\\Longrightarrow q=6+4\\\Longrightarrow q=10$