Log base 7 of 15 to base e

In ΔDEF,{EF}\cong{DE} EF ≅ DE and m∠E = 104°. Find m∠D.

Alexeev081 [22]

The 3 inside angles need to equal 180.

Subtract E from 180 to find the sum of the other two angles:

180 - 104 = 76

Now because EF ≅ DE , angle D and F would be the same so divide 76 by 2

Angle D = 38

7 0

3 years ago

At the Olympic Games, a runner won the 26.2 mile marathon race in 2 hr 4 min and 1 second. What was his average speed in mph and

Contact [7]

The average speed of the runner is 12.7 mph and 20.4 km/h

Given that the runner ran 26.2 mile in 2hr and 4 minutes, we start of by converting the time from hours and minutes into minutes and finally hours, since hours is what we need. So, we have

2hr = 120mins

+ 4 mins = 124 mins

124 mins ÷ 60 hour/mins = 2.06 hours.

This means that the runner finished the race in 2.06 hours.

If we are to find the average speed in mile per hour, we have

Average speed = distance ran ÷ time taken

Average speed = 26.2 ÷ 2.06

Average speed = 12.7 mph

From the speed in mph, we can directly convert it to km/hr by saying

1 mph = 1.609 km/h

12.7 mph = 12.7 * 1.609 = 20.4 km/hr

for more, check: brainly.com/question/1989219

4 0

3 years ago

What is the midpoint of (-3,-7) and (9,8)

Sliva [168]

Hope this will help you. It is a little hard to explain.

4 0

4 years ago

A central angle in a circle with a radius of 3 cm intercepts an arc with a length of 6 cm what is the measure of the central ang

Fiesta28 [93]

Answer:

$114.59\°$

Step-by-step explanation:

we know that

The circumference of a circle is equal to

$C=2\pi r$

In this problem we have

$r=3\ cm$

substitute

$C=2\pi (3)=6 \pi\ cm$

Remember that

$360\°$ subtends the arc length of the complete circle

so

by proportion

Find the measure of the central angle for an arc length of $6\ cm$

$\frac{360}{6\pi } \frac{degrees}{cm} =\frac{x}{6} \frac{degrees}{cm} \\ \\x=6*360/(6\pi )\\\\ x=114.59\°$

7 0

3 years ago

Last year Andrea's annual salary was A dollars and she was paid biweekly. This year she received a

Cloud [144]

Biweekly salary last year algebraically will be S = (27)A. Semimonthly salary this year algebraically will be S = ( A + R )6.

<h3>What is an expression?</h3>

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that Last year, Andrea's annual salary was A dollar and she was paid biweekly. This year she received a raise of R dollars per year. She is now paid semimonthly.

Biweekly salary last year algebraically will be:-

S = (27)A.

Semimonthly salary this year algebraically will be:-

S = ( A + R )6.

Therefore, the biweekly salary last year algebraically will be S = (27)A. Semimonthly salary this year algebraically will be S = ( A + R )6.

To know more about expression follow

brainly.com/question/723406

#SPJ1

7 0

2 years ago