explanation please and thank you hurry please

answer:

67.5

Explanation:

Let the triangle be ΔABC and angles be ∠A,∠B,∠C

Now, we know that all the 3 angles of a triangle sum up to be 180° from the Triangle Sum Property.

:.∠A + ∠B + ∠C = 180

:.3x+3x+2x=180 [3:3:2]

:.8x = 180

:.x = 180/8

:.x = 22.5°

:.

/_A=3x=3(22.5)=67.5°

/_B=3x=3(22.5)=67.5°

/_C=2x=2(22.5)=45°

Answer:

i)  Using log law:  [tex]\log_aa=1[/tex]

[tex]\implies \log_55+1=1+1=2[/tex]

ii) [tex]\log \left(\dfrac{15}{8}\right)+4 \log 2-\log 3[/tex]

Using log law [tex]a \log b=\log b^a[/tex]:

[tex]\implies \log \left(\dfrac{15}{8}\right)+\log 2^4-\log 3[/tex]

[tex]\implies \log \left(\dfrac{15}{8}\right)+\log 16-\log 3[/tex]

Using log law [tex]\log a-\log b=\log (\frac{a}{b})[/tex]:

[tex]\implies \log \left(\dfrac{15}{8}\right)+\log\left(\dfrac{16}{3}\right)[/tex]

Using log law  [tex]\log a+\log b=\log(ab)[/tex]:

[tex]\implies \log \left(\dfrac{15}{8}\cdot \dfrac{16}{3}\right)[/tex]

[tex]\implies \log 10[/tex]

Using log law:  [tex]\log_aa=1[/tex]

[tex]\implies \log_{10} 10=1[/tex]

iii) Take log of base 10:

[tex]\log_{10}(\sqrt{8.357}\times0.895^2)[/tex]

[tex]\implies \dfrac12\log_{10}(8.357)+2\log_{10}(0.895)[/tex]

Log tables

The characteristic of the logarithm of a number is the exponent of 10 in its scientific notation.

The mantissa is found using the log tables and is always prefixed by a decimal point.

The row is the first two non-zero digits of the number, and the column is the 3rd digit of the number

Use the log tables to find [tex]\log_{10}(8.357)[/tex]:

8.357 = 8.357 × 10⁰

⇒ characteristic = 0

log table:  row 83, column 5 ⇒ mantissa 9217

(as there is a 4th digit) Mean difference 7 = 4

mantissa + mean difference = 9217 + 4 = 9221 ⇒ 0.9221

characteristic + mantissa = 0 + 0.9221 = 0.9221

Therefore, [tex]\log_{10}(8.357)=0.9221[/tex]

Use the log tables to find [tex]\log_{10}(0.895)[/tex]:

[tex]0.895 = 8.95\times 10^{-1}[/tex]

⇒ characteristic = -1

log table: row 89, column 5 ⇒ mantissa 9518⇒ 0.9518

characteristic  + mantissa = -1 + 0.9518= -0.0482

Therefore, [tex]\log_{10}(0.895)=-0.0482[/tex]

Therefore,

[tex]\implies \dfrac12\log_{10}(8.357)+2\log_{10}(0.895)[/tex]

[tex]\implies \dfrac12 \cdot 0.9221+2\cdot-0.0482[/tex]

[tex]\implies 0.36465[/tex]

Therefore,

[tex]\log_{10}(\sqrt{8.357}\times0.895^2)=0.36465[/tex]

Using [tex]\log_ab=c \implies a^c=b[/tex]

[tex]\implies \sqrt{8.357}\times0.895^2=10^{0.36465}[/tex]

[tex]\implies \sqrt{8.357}\times0.895^2=2.3155[/tex]

Answer:

0.75 miles

Step-by-step explanation:

15/20 = 3/4 = 0.75

15 is 3/4 of 20

0.75 mile  is 3/4 of 1mile

Answer:

No there is no solution

Step-by-step explanation:

X cannot be found no matter how you try to solve the simultaneous equation so therefore y can also not be found.

Step-by-step explanation:

hope you have got the answer in the attachment.

Answer:

3/10

Step-by-step explanation:

There are 10 students

5 of them voted either Los Angeles or New York

That means ignore (screw) the other 5 people

If 2/10 students chose Los Angeles,

that is 2/5 because the others didn't choose those cities that are part of the equation (nobody asked about the other people)

So if 5 people chose two groups of cities, and two people chose one city, that meant 3 chose the other

3/10 (remember its out of all of them) Students Voted for New York

Hope this helps :)

-jp524

The domain of the function will be less than or equal to 4 is x ≤ 4

The domain of a function are real values for which the function exists

For the question given, the time taken will serve as the domain of the function while the height after a particular time will be the range.

The domain depends on the time it takes to reach the maximum height. SInce the football reaches its maximum height of 30 feet in 4 seconds, hence the domain of the function will be less than or equal to 4 is x ≤ 4

Learn more on domain here: https://brainly.com/question/26098895

Answer:

There are 3 feet in a yard, so divide 34 by 3, which is 11 with a remainder of 1, the remainder 1 is the remaining foot, so 34 feet is 11 yards and 1 foot.

Step-by-step explanation:

Answer: 4 year difference

Step-by-step explanation: 4 year difference

Answer:

12.5

Step-by-step explanation:

In this problem, we see a 5 on one side. The other side will be 5 as they have the congruent line indicator.

The formula for these types of problems are a*b=c*d.

a = 5

b = 5

c =2

d = x

(5)(5)=2(x)

x = 25/2 = 12.5

Answer:

r = 3

Step-by-step explanation:

Step-by-step explanation:

Go and learn numbers , it will be 1 2 3 4 5

Answer:

12 oz bottle

Step-by-step explanation:

See attached image.

Answer:

2nd statement

Step-by-step explanation:

it is

Answer:

Inverse Additive

Inverse multiplicative

Opposite Numbers

Reciprocal Numbers

Absolute value

Step-by-step explanation:

Inverse Additive is the number that is added to a given number to make the sum zero. For example, the additive inverse of 3 would be -3, because 3 + -3 = 0.

Inverse multiplicative is defined as a number which when multiplied by the original number gives the product as 1. For example, the multiplicative inverse of 5 would be 1/5, because multiplying 1/5 by the number 5 would equal to the product of 1.

Opposite Numbers- The opposite of a number is the number on the other side of 0 number line, and the same distance from 0. Basically same thing as an additive inverse. The negative version of a positive number, and vice versa.

Reciprocal Numbers- The reciprocal of a number is this fraction flipped upside down. In other words, the reciprocal has the original fraction's bottom number—or denominator—on top and the top number—or numerator—on the bottom.

Absolute value- The absolute value (or modulus) | x | of a real number x is the non-negative value of x without regard to its sign.

¤ Angle sum property of triangle states that the sum of interior angles of a triangle is 180°

Have a great day !!

Answer:

Step-by-step explanation:

10+5=15 1/9 goes into 15 about twice so it goes to plus 1

so about without solving is 16 1/15

Answer:

Step-by-step explanation:

Given two points, the equation for the line can be found by starting with determining the slope. Then the point-slope form can be used to find the equation. That form can be rearranged to give the slope-intercept form (or any other form you may desire.)

The slope formula is ...

  m = (y2 -y1)/(x2 -x1)

  m = (3 -(-4))/(-1 -7) = 7/-8 = -7/8

Then the point-slope form using the first point is ...

  y -k = m(x -h) . . . . line with slope m through point (h, k)

  y +4 = -7/8(x -7) . . . . . line with slope -7/8 through (7, -4)

__

Eliminating parentheses, and subtracting 4 gives the slope-intercept equation:

  y +4 = -7/8x +49/8 . . . eliminate parentheses

  y = -7/8x +17/8 . . . . . subtract 4; slope-intercept equation

_____

The attached graph shows both forms of the equation draw the same line.

Answer:

247

Step-by-step explanation:

2 + 245

= 002 + 245

= 247

Answer:

if this is high school i cant do it

Answer:

<(3) >(2)

Step-by-step explanation:

Genus < Phylum

Class < Family

Kingdom < Species

Order > Classes

Phylum > Family

im not 100%

but hope this helps pls mark as brainliest.

Answer:

x = 20

Step-by-step explanation:

the product of the measures of the parts of one chord is equal to the product of the measures of the parts of the other chord , that is

9x = 15 × 12 = 180 ( divide both sides by 9 )

x = 20

Explanation:

In the right triangle shown in the attachment, we have, by definition, ...

  sin(θ) = a/c

  cos(θ) = b/c

Then ...

  sin²(θ) +cos²(θ) = (a/c)² +(b/c)² = (a² +b²)/c²

By the Pythagorean theorem, ...

  c² = a² +b²

Substituting for c², we have ...

  sin²(θ) +cos²(θ) = (a² +b²)/(a² +b²)

  sin²(θ) +cos²(θ) = 1

_____

Additional comment

This trig identity also goes by the name "Pythagorean identity."

Answer:

3 log (6/x)

Step-by-step explanation:

Rule: log(a) - log(b) = log(a/b)

3 log ( 6 ) − 3 log ( x ) = 3 log (6/x)

Answer: 61

Step-by-step explanation: 1+12*5

Simplify the sum 43+(96/8)*5-42

1

Add 43 and -42

12*5

Reduce 96/8 by factoring out and cancelling common factors

8*12/8.1

Factor out 8 from the top and bottom of the fraction

8*12=96

8*1=8

96/8=12

multiply 12 and 5. 12*5= 60

add 60 and 1

so the answer is 61

Since the variable type of writing utensil assumes labels and not numbers, it is classified as qualitative.

In this problem, the type of writing utensil has 4 labels: regular pencil, mechanical pencil, pen, whatever.

Hence, since the variable assumes labels and not numbers, it is classified as qualitative.

More can be learned about quantitative and qualitative variables at https://brainly.com/question/20598475

Answer:

1122.63ft

Step-by-step explanation:

Let, AB be the height of the monument, BC=789ft be the length of the monument ∠BAC=35.1° be the angle of elevation.

Now,

[tex]tanA=\frac{789ft}{AB} \\\\tan35.1=\frac{789ft}{AB} \\\\AB=\frac{789ft}{0.7028} \\\\AB=1122.63ft[/tex]

Hope this is correct.