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3 years ago

For what value of x does m 1=90°?

Mathematics

1 answer:

HACTEHA [7]3 years ago

3 0

Answer:

x=70

Step-by-step explanation:

Angle 1 will be 90° when it subtends a 180° arc. That means the sum of 100° and (x+10) must be 180°, so (x+10) = 80°.

We assume this is intended to mean ...

... (x +10)° = 80° . . . . . note the ° symbol added outside parentheses

... x +10 = 80 . . . . . divide by °

... x = 70 . . . . . . . . .subtract 10

_____

If the intent is (x+10°) = 80°, then x=70°.

_____

Comment on the numbers here

Units need to be properly specified in problems of this nature. As written, we probably should assume that 10 is radians, and x is a large negative number, about -8.60374 (radians), or -492.958°.

A number of radians is a "pure number." It has no units. The term "radians" is used to signify that the number is considered to be an angle measure.

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Which expression have a value between 7 and 8 π+4 2II √62 √48 √56

lilavasa [31]

Answer:

square root 48

Step-by-step explanation:

It is square root 48 because it is between 7 and 8 not exactly if it was exactly 7 and 8 it would be square root 56

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

1. 5x + 2(x +6) simplify each expression

irina [24]

1. 5x+ 2(x+6)
= 5x+ 2x+ 2*6 (distributive property)
= 5x+ 2x+ 12
= (5x+ 2x)+ 12 (combine like terms)
= 7x+ 12

The correct answer is C. 7x+12~

2. -3m + 3(m + 6)
= -3m+ 3m+ 3*6
= -3m+ 3m+ 18
= (-3m+ 3m)+ 18
= 18

The correct answer is D. 18~

3 0

2 years ago

Average student loan debt after a bachelors degree increases from 18,108 in 2004 to 28,522 2014. Find the absolute change

RideAnS [48]

Answer:

The absolute change is 10,414

Step-by-step explanation:

To get the absolute change, we simply use the mathematical formula below

Absolute change = New value - Original value

From the question, the new value is 18,108 while the original value is 28,522

So the absolute change will be;

28,522-18,108 = 10,414

7 0

2 years ago

12.5% as a fraction in simplest form

love history [14]

12 1/2 i think your welcome

6 0

3 years ago