Answer:
- [52 - [36 - 58 (24 x 82) x 36] + (-42)] = −4109158
A running race follows a triangular course. The first leg of the race is in a straight line, covering 4.4km. Runners turn an angle of 79 deg for the second leg, and then turn again 77 deg to head back to the start line to finish the race. What is the length of the entire race, to the nearest tenth of a kilometer?
Answer:
The length of the entire race is 9,5km
Step-by-step explanation:
Required
Determine the length of the race.
To aid my explanation, I have added an attachment which shows the triangular course.
From the attachment, we have:
A as the starting point and the following measurement;
[tex]\angle B = 11^{\circ[/tex]
[tex]\angle C = 13^{\circ} + 79^{\circ} = 92^{\circ[/tex]
[tex]\angle A + \angle B + \angle C = 180^{\circ}[/tex]
[tex]\angle A = 180^{\circ} - (\angle B + \angle C )[/tex]
[tex]\angle A = 180^{\circ} - (11^{\circ}+92^{\circ})[/tex]
[tex]\angle A = 77^{\circ}[/tex]
[tex]\angle B = 11^{\circ[/tex]
[tex]\angle C = 92^{\circ[/tex]
[tex]c = 4.4km[/tex]
Apply sine rule
[tex]\frac{a}{sin\ A} = \frac{b}{sin\ B} = \frac{c}{sin\ C}[/tex]
[tex]\frac{a}{sin\ 77^{\circ}} = \frac{b}{sin\ 11^{\circ}} = \frac{4.4}{sin\ 92^{\circ}}[/tex]
[tex]\frac{a}{sin\ 77^{\circ}} = \frac{b}{sin\ 11^{\circ}} = \frac{4.4}{0.9994}[/tex]
[tex]\frac{a}{sin\ 77^{\circ}} = \frac{b}{sin\ 11^{\circ}} = 4.403[/tex]
Split to solve for a and b
[tex]\frac{a}{sin\ 77^{\circ}} =4.403[/tex]
[tex]\frac{b}{sin\ 11^{\circ}} = 4.403[/tex]
Make a the subject
[tex]\frac{a}{sin\ 77^{\circ}} =4.403[/tex]
[tex]a = 4.403 * sin(77^{\circ})[/tex]
[tex]a = 4.403 * 0.9744[/tex]
[tex]a = 4.3km[/tex]
Make b the subject
[tex]\frac{b}{sin\ 11^{\circ}} = 4.403[/tex]
[tex]b = 4.403 * sin(11^{\circ})[/tex]
[tex]b = 4.403 * 0.1908[/tex]
[tex]b = 0.8km[/tex]
The length of the race is:
[tex]Length = a + b + c[/tex]
[tex]Length = 4.3km + 0.8km + 4.4km[/tex]
[tex]Length = 9.5km[/tex]
PLEASE HELP!!!!
If angles P and Q are complementary, which statement about the two angles is true?
P and Q are opposite facing.
P and Q add up to 90°.
P and Q are always adjacent.
P and Q sum to 180°.
Answer:
P and Q add up to 90°.
Step-by-step explanation:
someone help me with this answer please !!
Answer:
-27
Step-by-step explanation:
Evaluate 4n when n =13
Evaluate a/b when a = 27 and b=3
Evaluate 3x - 14 when x=6
Evaluate z2 + 8.5 when z =2
Evaluate x(36-y) when x =4 and y = 8
PLEASE HELP!!!
Answer:
1) 52
2) 9
3) 4
4) 12.5
5) 112
Step-by-step explanation:
So for each of them, we just need to substitute and solve.
4n = 4 * 13 = 52
a/b = 27/3 = 9
3x - 14 = 3*6 - 14 = 18 - 14 = 4
z2 + 8.5 = 2*2 + 8.5 = 4 + 8.5 = 12.5
x(36 - y) = 4(36 - 8) = 4(28) = 112
I hope this helped and please mark brainliest!
Can you conclude that these triangles are congruent?
Yes or no
Answer:
Yes
Step-by-step
If there flipped then they’re congruent
Answer:
Yes
Step-by-step explanation:
Here we get two triangles,
In triangle MNH. In triangle JKH
The figure is one-fourth of a circle.
What is the perimeter of the figure?
Use 3.14 for π.
One fourth of a circle with a radius of 11 cm.
GIVING BRAINLIEST IF YOU SOLVE IT (:
Answer:
around 39.27
Step-by-step explanation:
2*11*3.14=69.08/4=17.27+22=39.27
Pls help me ASAP pls
452% as a decimal and as a fraction in simplest form
Answer:
decimal form: 4.52
fraction: 4 13/25
Step-by-step explanation:
Answer:
Decimal 4.52
Fraction 4 13/25
the number of magazine subscriptions decreases by 8% each year.If there are 225,000 this year,how many will there be 7 years from now
Answer:
I got 147107
Step-by-step explanation:
If the subscriptions decrease by 8% each year then you would times 225000 by 0.08 then take the number you get from that and subtract it from 225000. And repeat until you get to the seventh year.
use the communitive property of addition to rewrite 3 + 5 + 7. Which expression is equivalent?
Answer: 8+7
Step-by-step explanation: 3+5+7 is equivalent to 8+7 because if you add the both of them you’ll get the same exact answer which is 15
Use the model to write a equation
Answer:
5/8-2/8=3/8 I hope this helped!
I really need help. What would be the slope-intercept equation?
Stock value per share in a certain company has been steadily decreasing by $3.71 per share per year for the last ten years. Ten years ago the value of the stock was $147.25. Let y be the value of the stock x years after it begins to decline.
Answer:
y = -3.71x + 147.25
Step-by-step explanation:
Enter a digit in each box to complete the division problem.
Please answer i’ll give brainliest
Step-by-step explanation:
2527 is the first line so 5 in the box
then 47 so a 4 in that box
top answer row
315 E7 so a 5 in that box.
what is 41x plus 21x
Consider a right triangle ABC where ZC is
the right angle. If sin A = 3/5 and cos A =4/5,
what is cos B?
Answer:
3/5
Step-by-step explanation:
The width of a rectangle is 7 inches and the length is 13 longer than the width. Find the perimeter of the rectangle. (PLEASE ANSWER QUICKLY!!!)
PLEASE HELP WILL MARK BRAINLIEST!!!
Select all that are equivalent to sin∠GFH
Answer:
I think sin<GEJ IS equivalent to sin∠GFH
All that are equivalent to sin∠GFH is
D) cos(<EGJ)
"Corresponding angles"sin(<GEJ)cos(<FGH)cos(<EGJ)
From the image JE and HF are parallel.
So angle GFH and angle GEJ are corresponding angles.
So they are equal.
so, sin(<GFH) = sin(<GEJ).
From triangle GFH, <GFH+<FGH = 90.
So, sin(<GFH) =cos(<FGH).
Again <FGH = <EGJ.
So, sin(<GFH) =cos(<EGJ)
All that are equivalent to sin∠GFH is cos(<EGJ).
Thus, the correct answer is D.
Learn more about corresponding angles: https://brainly.com/question/2009183
Three rabbits can eat five carrots in four minutes. How long does it take four rabbits to eat 15 carrots?
Answer:
12
Step-by-step explanation:
15/5=3
3x4=12
Factor: 42x + 14 *
Please help me with this question
Answer:
x = 0.3333333333
Step-by-step explanation:
Simplifying
42x = 14
Solving
42x = 14
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Divide each side by '42'.
x = 0.3333333333
Simplifying
x = 0.3333333333
Yuki went on a walk around her school. The school was mapped onto a grid where each unit represented one foot in real life. She started at the entrance, which was located at (50, 25). She walked to the library at (50, 100). Then she went to her math class which was located at (200, 100). She went to her locker at (200, 25) before she went back to where she started. How far did she walk in all?
Answer:
750
Step-by-step explanation:
50+25+50+100+200+100+200+25
45 is 3% of what number?
quick I need an answer!
hurry pls!
Answer:
stop rushing brat
Step-by-step explanation:
Step-by-step explanation:
Steps to solve "45 is 3 percent of what number?"
We have, 3% × x = 45
or,
3
100
× x = 45
Multiplying both sides by 100 and dividing both sides by 3,
we have x = 45 ×
100
3
x = 1500
If you are using a calculator, simply enter 45×100÷3, which will give you the answer.
Linear pairs are supplementary
True or false
Plss answerr
True
If two angles form a linear pair, the angles are supplementary. A linear pair types a straight angle which contains 180º, so you have 2 angles whose measures add to 180, which skill they are supplementary.
I didn't mean to click an answer but please help me out
Answer:
135
Step-by-step explanation:
135+45=180, and supplementary angles always equal 180
Answer:
The answer is 135
Step-by-step explanation:
Definition of supplementary angles: either of two angles whose sum is 180°, so 180 - 45 = 135!
Please mark as brainliest.
4/5+ 1/3 how much is it
A culture started with 2,000 bacteria. After 2
hours, it grew to 2,400 bacteria. Predict how
many bacteria will be present after 10 hours.
Round your answer to the nearest whole
number.
P= Aekt
Answer:
14,000
Step-by-step explanation:
if wrong i'm sorry
HELP PELASE ASAPppppp
Answer:
(a)[tex]\frac{d}{a}=\frac{a}{f}[/tex]
(d)[tex]\frac{e}{c}=\frac{c}{f}[/tex]
(b)[tex]\frac{d}{b}=\frac{b}{e}[/tex]
Step-by-step explanation:
All right triangles are similar
When two triangles are similar then the ratio of their corresponding sides are equal.
Using the property
[tex]\triangle ABC\sim \triangle DBA[/tex]
[tex]\frac{BC}{AB}=\frac{AB}{BD}[/tex]
[tex]\frac{e}{c}=\frac{c}{f}[/tex]
[tex]\triangle ACD\sim\triangle BAD[/tex]
[tex]\frac{CD}{AD}=\frac{AD}{BD}[/tex]
[tex]\frac{d}{a}=\frac{a}{f}[/tex]
[tex]\triangle ACD\sim \triangle BCA[/tex]
[tex]\frac{CD}{AC}=\frac{AC}{BC}[/tex]
[tex]\frac{d}{b}=\frac{b}{e}[/tex]
Correct options are
(a)[tex]\frac{d}{a}=\frac{a}{f}[/tex]
(d)[tex]\frac{e}{c}=\frac{c}{f}[/tex]
(b)[tex]\frac{d}{b}=\frac{b}{e}[/tex]
expand using exponential form a.) 1492.034 b.) 1200.36
Answer:
Step-by-step explanation:
Expanded Exponential Form:
1,492.034 =
1 × 10^3
+ 4 × 10^2
+ 9 × 10^1
+ 2 × 10^0
+ 0 × 10^-1
+ 3 × 10^-2
+ 4 × 10^-3
Expanded Exponential Form:
1,200.36 =
1 × 10^3
+ 2 × 10^2
+ 0 × 10^1
+ 0 × 10^0
+ 3 × 10^-1
+ 6 × 10^-2
if the x variant of 24 was 8 how to I solve?
Answer:
you substitue 8 for x then you sovle it like a normal equations
Step-by-step explanation:
thanks for points :D
Answer:
8 times 3
Step-by-step explanation:
since 8 times 3 = 24
i rlly need a worded story thingy that equals 2361.
E.g. Jack had 3 apples he a 2 how many apples does he have left ??
That type thing
THANKS xx
cuántos encuentros son necesarios para una entrevista completa
