using angle A as the reference angle, what is the ratio of the opposite side to the adjacent side?
write the ratio as a fraction
Answers
Answer:
20/21
Step-by-step explanation:
Opposite / Adjacent = RT / AR
You have to find RT
Use the Pythagorean Theorem
AR^2 + TR^2 = AT^2
21^2 + TR^2 = 29^2
441 + TR^2 = 841 Subtract 441 from both sides
TR^2 = 841 - 441
TR^2 = 400
sqrt(TR^2) = sqrt(400)
TR = 20
Ratio: TR / AR = 20/29
Related Questions
Solve for x.
7(x + 2) = 6(x + 5)
X=-44
x = -16
x = 16
X= 44
Look in picture
Help please
Answers
Answer:
x= 16
Step-by-step explanation:
First, you want to distribute each side! (you're gonna wanna learn this because you will be having to do it for the next 3 years no joke it sucks)
7(x+2) can be distributed as 7x+14 after multiplying 7 times x and 7 times 2, and 6(x+5) can be distributed as 6x+30.
Now, you have to get the x on one side to solve for x (so like x=__).
To do this, look at the equation as of now. 7x+14=6x+30.
We can minus 14 and bring that to the right, and minus 6x and bring that to the left to separate the x's and the regular numbers.
Now we have 16=x (or x=16).
A triangular pyramid is cut by a plane. In which case is the cross section a quadrilateral?
Answers
9514 1404 393
Answer:
the cut plane is between non-intersecting edges
Step-by-step explanation:
The cross section will be a quadrilateral when the cut plane intersects four of the six edges of the pyramid. This will be the case when the plane lies between two edges that do not intersect.
Ambrosone et al. (2004) conducted an observational study to explore whether broccoli consumption reduces the risk of developing breast cancer in premenopausal women. They report a p-value of 0.058. PROPOSITION ONE: The results suggest a statistically significant association between broccoli consumption and reduced risk of breast cancer at the 5% significance level; PROPOSITION TWO: The results prove the null hypothesis at the 5% significance level.
a. PROPOSITION ONE is true and PROPOSITION TWO is true
b. PROPOSITION ONE is true and PROPOSITION TWO is false
c. PROPOSITION ONE is false and PROPOSITION TWO is true
d. PROPOSITION ONE is false and PROPOSITION TWO is false
e. None of the above
Answers
Answer:
c. PROPOSITION ONE is false and PROPOSITION TWO is true
Step-by-step explanation:
In this question, we have that:
pvalue of 0.058
Significance level of 0.05
The pvalue is larger than the significance level, which means that there is no statistically significant association(Propostion One is false), and the null hypothesis is not rejected, that is, it is proved, so Proposition Two is true.
This means that the correct answer is given by option C.
2. A paving company is paving the rectangular student parking lot at Hamilton High School. The
length of the parking lot can be represented as (5p - 7) and the width as (3p + 4). Which
expression represents the area of the parking lot?
Answers
Answer:
15p2 - p - 28
Step-by-step explanation:
I need help with this please:
Answers
Answer:
B and C
Step-by-step explanation:
4/7 = 0.57
2/3 > 4/7
is this khan academy?
Answer:
C
Step-by-step explanation:
Because 2/5 equal .4 in decimal. .57 is equal to 4/7 and 2/3 is .666 repeating
In the context of temperature, what would -4 degrees celsius describe?
A.4 degrees above freezing
B.4 degrees below freezing
C.-4 degrees
D.4 degrees below sea level
Answers
The surface area S of a cube with the side length a is given by the formula S=6a^2. Find the side length of a cube with the Surface are of 700 square inches. Round to the nearest integer
Answers
Answer:
Side length of cube = 10.80 inch (Approx.)
Step-by-step explanation:
Given:
Surface area of cube = 700 square inches
Find:
Side length of cube
Computation:
We know that all sides of cube are equal
Surface are of cube = 6(Side)²
By putting 700 as surface are of cube in the formula;
700 = 6(Side)²
(Side)² = 700 / 6
(Side)² = 116.667
Side = √116.667
Side = 10.801
Side length of cube = 10.80 inch (Approx.)
3
13
1
3
Area
-
in?
6
N
1
1
2
3
2
1
6.
2
3
4
5
6
7
8
Enter
Answers
Answer:
IF THERE IS A LINK DON'T CLICK ON IT
Step-by-step explanation:
IT IS A COMPUTER TABLET AND PHONE VIRUS
Solve the following equation:
l -4 l x 5= x
x =
Answers
What is the range of the function y=x+8?
Answers
(-infinity, infinity)
There are no restrictions on x. If x can be any value, then the same goes for y.
Answer: Range = ALL REAL NUMBERS.
We can also express the answer as
(-infinity, infinity).
The points (3,h) and (10,1) fall on a line with a slope of
4/7 What is the value of h?
Answers
Answer:
h = -3Step-by-step explanation:
Use slope formula:
(1 - h)/(10 - 3) = 4/7(1 - h) / 7 = 4/71 - h = 4h = 1 - 4h = -3Answer:
The answer is h = -3
Step-by-step explanation:
(1 - h)/(10 - 3) = 4/7
(1 - h) / 7 = 4/7
1 - h = 4
h = 1 - 4
h = -3
PLS HELP!!!!!!!!!!!
Answers
Answer:
x=100
Step-by-step explanation:
x+80=180...(angles on a straight line add up to 180 degrees )
x=180-80
x=100
Answer:
Vertical angles x= 100 sorry if i'm wrong
Step-by-step explanation:
Need help if you can answer through would be great thank you
Answers
Step-by-step explanation:
I don't really know the answer 'cause
check the answer in aswer sheet
Four divided by a number, b
Please help
Answers
Answer: Can you explain more?
Step-by-step explanation:
Answer:
The expression would be 4 over b : [tex]\frac{4}{b}[/tex]
Step-by-step explanation:
a fraction sign is the same thing as a division sign
A square postage stamp has area 1,130 mm². About how long is each side?
Answers
Answer:
33.61 mm (the square root of 1130)
Step-by-step explanation:
Faye has $5,000 that she is going to deposit into two accounts as shown:
Account Deposit Interest Type Interest Rate
#1 $2,000 Simple 5%
#2 $3,000 Compound 4%
Assuming that Faye does not make any additional deposits or withdrawals, find the combined amount of her two accounts after 15 years.
$15,902.83
$3,902.83
$8,902.83
$6,902.83
Answers
Answer:
$8,902.83
Step-by-step explanation:
Answer:
8,902.83
Step-by-step explanation:
I have the same question but with different answers
except 8,902.83
Distance between Train 1 and Train 2 = 95 miles.
Average speed of Train 1 = 45 mph.
Average speed of Train 2 = 60 mph.
If both trains leave at the same time and travel toward each other but on parallel tracks, in how much time will their engines be opposite each other? (Hint: When the engines are opposite each other, together the trains will have traveled 95 miles. Their relative speed of travel is the sum of their respective speeds, or 105 mph.)
Travel time = hours.
Answers
9514 1404 393
Answer:
19/21 hours, about 54 minutes 17 seconds
Step-by-step explanation:
The time is found from ...
time = distance/speed
time = (95 mi)/(105 mi/h) = 95/105 h = 19/21 h
The trains will meet after 19/21 hours, about 54 minutes, 17 seconds.
Answer:
19
Step-by-step explanation:
someone pls help me, i will mark brainliest(no links)
Answers
Researchers recorded that a certain bacteria population declined from 200,000 to 900 in 18 hours. At this rate of decay,
how many bacteria was there at 10 hours? Round to the nearest whole number,
Answers
Answer:
9,942 bacteria were there at 10 hours.
Step-by-step explanation:
Equation for population decay:
The equation for population decay, after t hours, is given by:
[tex]P(t) = P(0)(1-r)^t[/tex]
In which P(0) is the initial population and r is the decay rate, as a decimal.
Researchers recorded that a certain bacteria population declined from 200,000 to 900 in 18 hours.
This means that [tex]P(0) = 200000[/tex] and that when [tex]t = 18, P(t) = 900[/tex]. So we use this to find r.
[tex]P(t) = P(0)(1-r)^t[/tex]
[tex]900 = 200000(1-r)^{18}[/tex]
[tex](1-r)^{18} = \frac{900}{200000}[/tex]
[tex]\sqrt[18]{(1-r)^{18}} = \sqrt[18]{\frac{900}{200000}}[/tex]
[tex]1 - r = (\frac{900}{200000})^{\frac{1}{18}}[/tex]
[tex]1 - r = 0.7407[/tex]
So
[tex]P(t) = P(0)(1-r)^t[/tex]
[tex]P(t) = 200000(0.7407)^t[/tex]
At this rate of decay, how many bacteria was there at 10 hours?
This is P(10). So
[tex]P(10) = 200000(0.7407)^{10} = 9941.5[/tex]
Rounding to the nearest whole number:
9,942 bacteria were there at 10 hours.
What is the value of the median in the set of data represented by the following box-and-whisker plot?
A. 10
B.15
C.14
D.15.5
Answers
Answer:
D) 15.5
Step-by-step explanation:
median is the middle line inside the 'box'
Find the length of the third side. If necessary, round to the nearest tenth.
15
9
Answers
The length of the third side is 12 units
How to determine the length of the third sideFrom the question, we have the following parameters that can be used in our computation:
A right triangle
This means that we can calculate the third length using the Pythagoras theorem
using the above as a guide, we have the following:
x = √(15² - 9²)
Evaluate the exression
x = 12
Hence, the third length is 12 units
Read more about right triangle at
https://brainly.com/question/2437195
#SPJ1
A bank wants to estimate the difference in the proportion of its "big" customers who have a second account with a different bank and the proportion of its "small" customers who also have an account with another bank. Of the 200 "big" customers randomly selected, 160 claimed to also bank elsewhere. Of the 300 "small" customers randomly selected, 120 claimed to also bank with other banks. Check the conditions for constructing a confidence interval for the difference in proportions.
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
To construct confidence interval for difference in proportion ; the following conditions must be met :
1.) The selected samples must have been randomly chosen or selected from a larger population. This is essential in other to eliminate bias.
Each group of samples must be independently chosen. That is, the samples of bug customers chosen must be independent of the sample of small customers selected.
The population from which the samples are drawn must be considerably larger than the sample size. Sample size, n should be ≤ 10% of the population size.
p1 = 160 / 200 = 0.8 ; (1 - p1) = 0.2
p2 = 120 / 300 = 0.4 ; (1 - p2) = 0.6
(p1 - p2) ± Zcritical * sqrt[(p1(1 - p1) /n1) + (p2(1 - p2) / n2)]
Answer: A
Step-by-step explanation:
what is 2x2+2i know the answer but you answer it
A. 1
B. 3
C.2
D.6
Answers
20 Points Please help me
Answers
Answer:
98 inches
Step-by-step explanation:
Multiply the top length by the bottom length
Brainliest for correct answer asap
Answers
Use the distributive property to multiply the expression.9m (7m+2)
Answers
Answer:
63m^2 + 18m
Step-by-step explanation:
9m x 7m + 9m x 2
63m^2 + 9m x 2
63m^2 + 18m
the ^2 meaning exponent 2
15
x
23
find value of x that makes equation true
Answers
Answer:
345
Step-by-step explanation:
Solve for x.
7x - = 6x -
O x = 1/4
Ox=1
Ox= -1
O x = -1/4
Will give brainly
Answers
Answer:
D. - 1/4
Step-by-step explanation:
Answer:
-1/4
Step-by-step explanation:
0.375=3/8 0.625=5/8
7x-0.375=6x-0.625
1x=-0.25
-0.25=-1/4
A scoop used to measure powdered drink mix is in the shape of a cone with a radius of 5 cm.
5 cm
What is the height of the scoop if its volume is 757 cm3
15 cm
9 cm
7 cm
3 cm
Answers
find the volume of a figure. Use 3.14 for pi and round to the nearest hundredth, if necessary
Answers
9514 1404 393
Answer:
1487.31 yd³
Step-by-step explanation:
The volume of the composite figure is the sum of the volumes of a hemisphere of radius 7 yd, and a cylinder of the same radius and height 5 yd.
The volume of a sphere is 4/3πr³. The volume of a hemisphere is half that.
The volume of a cylinder is πr²h.
The total volume of this figure is ...
V = (2/3)πr³ + πr²h
V = πr²(2/3r +h)
V = (3.14)(7 yd)²(2/3·7 yd +5 yd) = 3.14·49·29/3 yd³ ≈ 1487.31 yd³
The volume of the figure is about 1487.31 yd³.
Answer:
4187.31 yd³ is thr volume of a fugure