To find the distance across the river, the given diagram is laid out. what is the distance rounded to the nearest meter?
Given:
Angle A = 18.6°
Angle B = 93°
Length of side AB = 646 meters
To find:
the distance across the river, distance between BC
Steps:
Since we know the measure of 2 angles of a triangle we can find the measure of the third angle.
18.6° + 93° + ∠C = 180°
111.6° + ∠C = 180°
∠C = 180° - 111.6°
∠C = 68.4°
Therefore the measure of angle C is 68.4°.
now we can use the law of Sines,
[tex]\frac{BC}{sinA}=\frac{AB}{SinC}[/tex]
[tex]\frac{BC}{sin(18.6)}= \frac{646}{sin(68.4)}[/tex]
[tex]BC[sin(68.4)] = 646 [sin(18.6)][/tex]
[tex]BC = \frac{646*sin(18.6)}{sin(68.4)}[/tex]
[tex]BC = \frac{646 * 0.3190}{0.9298}[/tex]
[tex]BC = 221.63[/tex]
[tex]BC = 222[/tex] meters
Therefore, the distance across the river is 222 meters.
Happy to help :)
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Which equivalent expression can be used to solve the quotient 2/3 divided by 4/5
Answer:
gay is bad
Step-by-step explanation:
Answer:
your answer is 5/6
:)
The swimming pool has 20,000 gallons of water, he drains the pool at 5 gallons per minute write an equation that represents the number of gallons of water, w, remaining in the pool after, t ,minutes
Answer:
w=(-5t)+20,000
Step-by-step explanation:
what is the answer to this, Simplify 8 and2/3
Answer:
4
Step-by-step explanation:
I think that is the answer
Graph the line y = -3/4 +5
Answer: plot the y intercept at 5 on the y axis. Then from (0,5) count down 3 and to the right 4 to plot the next point at (4,2). Then kee doing that until you have enough pony’s to connect as a line.
Step-by-step explanation:
What is the measure of angle L? Round to the nearest hundreth.
Help please!!
Answer:
60.57
Step-by-step explanation:
The angle L can be found using the inverse sine function.
L=arcsin(opp/hyp )
L=arcsin(2.7/3.1)
L =60.57129282
Consider the volume of cones and cylinders Part A The volume of a right circular cone is 300 cubic inches. What is the volume, in cubic inches, of a right cylinder that has the same base and height as the cone? Enter your answer in the space provided. Part B The volume of a different right cylinder is 7,4487 cubic centimeters. The diameter of the base of the cylinder is 28 centimeters What is the height in centimeters of the cylindera Enter your answer in the space provided.
Answer: part A : 900
Part B 38
35% of a number is what fraction of that number?
Your answer should be
a simplified proper fraction, like 3/5
a simplified improper fraction, like 7/4
Answer:
7/20, that's what my calculator says, hope this helps
Step-by-step explanation:
A cube is sliced by an angled plane as shown. Which of the following plane figures represents the cross section?
ANSWER VERY QUICK PLEASE!!! TY
Answer:
The rectangle
which should be the second option
Answer:
option #2 : rectangular
Step-by-step explanation:
option #2 : rectangular, with:
the length = diagonal of cube face
the width = cube edge
Write the number 3.8 x 10-4 in standard form.
Answer:
0.00038.
Step-by-step explanation:
The exponent is negative 4 so the 3 goes into the 4th place after the decimal point.
Please Answer these ASAP Find the area.
1. Determine the value of the bases, b and B, used to determine the volume in the object below.
2. Find the area. The polygon is regular. Round answer to the nearest tenth
Answer:
polygon is regular. Round answer to the nearest tenth
Step-by-step explanation:
[tex]36 - 6 \times = \frac{ < \sqrt{ \geqslant \binom{ | |4)6300 \times - 9x55.90660606.. \sqrt{. \geqslant 522 \sqrt[25h \\ ]{?} \times \frac{?}{?} \times \frac{?}{?} } | | \times \frac{?}{?} }{?} } }{?} \times \frac{?}{?} [/tex]Ernie has 4 yellow straws, 3 green straws, and 1 blue straw in a kitchen drawer. Each straw is the same size and shape. Ernie pulls out one straw from from the drawer without looking. What is the probability of Ernie pulling out a green straw.
A. 1/8
B. 3/8
C. 5/8
D. 7/8
Answer:
3/8
Step-by-step explanation:
Two sides of a right triangle measure 2 units and 4 units.
4 units
2 units
What is the area of the square that shares a side with the third side of the triangle?
units?
Which graph doesn't belong?
A
B
C
Explain your thinking.
Answer:
C
Step-by-step explanation:
It is negative.
asap please !
In a state assembly, 35% of the legislators are Democrats, and the other 65% are Republicans. 70% of the Democrats favor raising sales tax, while only 40% of the Republicans favor the increase. If a legislator is selected at random from this group, what is the probability that they favor raising sales tax? Give your answer as a percentage rounded to the nearest tenth.
Answer:
Probability of selecting a legislator who favors rising sales tax is 0.63
Step-by-step explanation:
Given
Percentage of legislators that are democrats = 0.35
Percentage of legislators that are Republicans = 0.70
All the democrats favor raise in sales tax , so their probability is 1
and only 40% of the Republicans favor raise in sales tax.
Probability of selecting a legislator who favors rising sales tax is
(0.35*1)+(0.70*0.40)
= 0.63
what is the radius of the circle which has the given equation? (x - 2)2 + (y + 1)2 = 16
Answer:
r = 4units
Step-by-step explanation:
The standard foem of equation of a line is expressed as;
(x-a)² + (y-b)² = r²
r is the radius
Compare with the given equation (x - 2)^2 + (y + 1)^2 = 16
r² = 16
r = √16
r = 4
Hence the radius of the circle is 4
A scale drawing of a triangular playground is shown.
What is the perimeter, in feet, of the actual playground?
A. 31.5
B. 55.5
C. 84
D. 252
ASAP
Answer:
b
Step-by-step explanation:
Answer:
it's b fs[brainliest?]
Step-by-step explanation:
What is the value of y?
Answer:
y = 66
Step-by-step explanation:
Exterior angles thm:
y + y - 31 = y + 35
2y - 31 = y + 35
2y - y = 35 + 31
y = 66
The diameter of a circle is 6 in. Find its area to the nearest tenth.
Answer and Step-by-step explanation:
The area formula for a Circle is:
A = [tex]\pi r^2[/tex]
Diameter is equal to the radius times 2.
So, divide the diameter to get the radius.
6 divided by 2 equals 3.
Now, plug it into the formula.
[tex]A = \pi (3)^{2}[/tex]
A = [tex]9\pi[/tex]
Plug this into your calculator by multiplying 9 by pi.
We get the answer to be 28.3 when rounded to the nearest tenth.
#teamtrees #PAW (Plant And Water)
Pls help me fast thx
Answer:
The answer is C
Step-by-step explanation:
help please no links! thank you
Answer: x=43, y=180
Step-by-step explanation: x is 43 because the 43 next to it has the same value. y is 180 because the angle is a straight line.
Can someone plz help me with this one problem plz!!!
Answer:
24, A
Step-by-step explanation:
(Length x height)÷2 = the area of a triangle
________ probability is based on a uniform probability. Ask yourself: What SHOULD happen when you conduct an experiment?
A) Simple
B) Theoretical
C) Experimental
_____ probability is based on relative frequency. Ask yourself: What ACTUALLY occurred during such an experiment?
A) Simple
B) Theoretical
C) Experimental
HELPP!!!!
Answer:
The answer is "Experimental Probability ".
Step-by-step explanation:
The probability of experiments is uncertainty which is calculated several times as per the outcome of even an experiment. The probability distribution is probably dependent upon reasoning. This probability is a price of about one or zero. It was based on the relative frequency or what occurs during a probability test.
9.4 ÷ 20
SHEEEEEEEEEEEEEEEESH
Answer:
[tex]\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}[/tex]
[tex]9.4 \div 20 \\ = 0.47[/tex]
Circle math assignment . All the information is on the picture (click on it if it doesn’t fully appear) and if you can give me the work to that would be wonderful!!! PLSS ITS DUE TODAY
Answer:
the radius is half of the cricle
A right cone has a slant height of 7 and a radius of 5. What is its surface
area?
O A. 357 units
B. 120 x units2
O c. 25x units2
D. 60 units
Answer:
D
Step-by-step explanation:
D. 60 Units
The surface area of the right cone is,
⇒ SA = 60π units²
What is mean by Multiplication?The multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
We have to given that;
Radius of cone (r) = 5 units
Slant height of cone (l) = 7 units
Now, We know that;
The formula that is used to calculate the surface area of a cone is;
⇒ SA = πrl + πr²
Hence, We can substitute all the values we get;
⇒ SA = πrl + πr²
⇒ SA = π × 5 × 7 + π × (5)²
⇒ SA = 35π + 25π
⇒ SA = 60π units²
Thus, The surface area of the right cone is,
⇒ SA = 60π units²
Learn more about the multiplication visit:
brainly.com/question/10873737
#SPJ7
Elena would like to know the average height of seventh graders in her school district. She measures the heights of everyone in a random sample of 20 students. The mean height of Elena’s sample is 61 inches, and the MAD (mean absolute deviation) is 2 inches.
Select all the true statements.
Who every can answer this I will give brainliest!! Please help!
Complete question is;
Elena would like to know the average height of seventh graders in her school district. She measures the heights of everyone in a random sample of 20 students. The mean height of Elena's sample is 61 inches, and the MAD (mean absolute deviation) is 2 inches.
Select all the true statements. Make your selections bold.
A. The median height of the sample must be between 59 and 63 inches.
B. Another random sample of 20 students is likely to have a mean between 57 and 65 inches.
C. The mean height of these 20 students is likely to be the same as the mean height of all students in the district.
D. The mean height of these 20 students is likely to be the same as the mean height of a second random sample of 20 students.
E. Elena would be more likely to get an accurate estimate of the mean height of the population by sampling 40 people instead of sampling 20 people.
Answer:
Options A, B & E are true.
Step-by-step explanation:
We are told that Elena's mean absolute deviation is 2 inches.
This means that the distance between each data point and the mean is equal to 2. This value gives us a good idea about the variability present in the dataset.
This is calculated from the difference between the mean of the absolute value of the initial mean and each data set.
Now, looking at the options. In option A, since mean height of the 20 students is given as 61, it means the median will be close to that figure too. Thus, between 59 and 63 inches given is appropriate.
In option B, if another random sample is taken, the mean would likely be close to 61 too since the MAD is 2.
Thus range given is okay.
In options C & D, there is no evidence to prove that the new mean would be the same as the district or the second random sample. This, both options are not appropriate.
In option E, if she uses a Sample of 40, she will obviously get a more accurate figure because the more the sample the more accurate the average result that represents the population.
What is the value of tan C? Leave your answer as a fraction.
Help please!!
Answer:
35/12
Step-by-step explanation:
Opposite/Adjcent (of C)
35/12
The minimum angle of rotation to map the given image onto itself is
A) 180°
B) 270°
C) 90°
D) 45°
Answ
90
Step-by-step explanation:
because you have add 90 for all of them
What is the length of BC? If the answer is not an integer, leave it in simplest radical form. The diagram is not drawn to scale.
O A. 13/2 ft
OB. 135 ft
C. 26 ft
D. 13 ft
Answer:
13sqrt(2)
Step-by-step explanation:
Using pythagoras theorem