Answer:
[tex]\tan D=\frac{7}{4},\\\\\sin D=\frac{7}{8.1}, \\\\\cos D=\frac{4}{8.1}, \\\\GI=5.0[/tex]
Step-by-step explanation:
In any right triangle, the following is true:
The sine of any angle is equal to its opposite side divided by the hypotenuse of the triangle. (o/h)
The cosines of any angle is equal to its adjacent side divided by the hypotenuse. (a/h)
The tangent of any angle is equal to its opposite side divided by its adjacent side. (o/a)
Thus,
[tex]\text{3. }\\\tan D=\frac{7}{4},\\\\\sin D=\frac{7}{8.1}, \\\\\cos D=\frac{4}{8.1},[/tex]
[tex]\text{4. }\tan 68^{\circ}=\frac{GI}{2},\\GI=2\tan68^{\circ}=4.95017370683\approx \boxed{5.0}[/tex]
solve all for brainiest
Answer:
a =55
b =16
c = 25
d = 9
Step-by-step explanation:
of means multiply is means equals
20% of a is 11
.20 a = 11
Divide by .20
a = 11/.20
a=55
75% of b is 12
.75 b =12
Divide by .75
b = 12/.75
b = 16
80% of c is 20
.80 c =20
Divide by .80
c = 20/.80
c =25
200% of d is 18
2.00 d = 18
Divide by 2.0
d = 18/2
d =9
What is the slope of a line that is parallel to the line y = 3/4x + 2?
Answer:
3/4
Step-by-step explanation:
Parallel lines have same slopes.
Find all Values of b that will make the polynomial a perfect square trinomial.
289r^2 - 102r + c
Please write out how to do this so I can see the steps of what I am doing wrong. thank you!
Answer:
10,404/334,084
Step-by-step explanation:
Given the polynomial
289r^2 - 102r + c
We are to find the value of c that will make it a perfect square
Divide through by 289
289r²/289 - 102r/289 + c/289
Half of the coefficient of r is 1/2(102/289)
Half of the coefficient of r = 102/578
Square the result
r² = (102/578)²
r² = 10,404/334,084
Hence the required constant is 10,404/334,084
Find the volume of the cone below. (hint: use Pythagorean Theorem)
If you deposit $2,000 into an account that pays 2% annual interest compounded monthly, how much money will be in the account in 5 years?
9514 1404 393
Answer:
$2,210.16
Step-by-step explanation:
The applicable formula for the account balance is ...
A = P(1 +r/n)^(nt)
where principal P is invested at annual rate r compounded n times per year for t years. Here, we have P=2000, r=0.02, n=12, t=5. The balance is ...
A = $2000(1 +0.02/12)^(12·5) = $2210.16
__
Numerous calculators, apps, web sites, and spreadsheets can figure this for you.
Suppose you obtain a $3,000 T-note with a 3% annual rate and maturity in 5 years. How much interest will you earn?
Help with this please
Answer:
Step-by-step explanation:
take 42 degree as reference angle
using sin rule
sin 42=opposite/hypotenuse
0.66=6.4/x
x=6.4/0.66
x=9.69
x=9.7
Desenați cinci puncte coliniare a b c d e în această ordine așa încât AB egal 5 cm BC egal 5 mm CD egal 15 mm și d egal 0,7 dm
A Aflați lungimile segmentelor ac ad ae bd be ce
B Calculați ac + ce - ae ; ad-bd
C A câta parte din lungimea segmentului AE reprezintă lungimea segmentului ad dar DB
Answer:
me no speak espanol sorry
Help !!!!!!!!!!!!!!!!!!!!!!!
Answer:
<ADB = 75 degrees
Step-by-step explanation:
We know, a straight line has an angle of 180 degrees.
A = (180-143) = 37 degrees.
A + C = (37 + 38) = 75 degrees.
The angles of a triangle will always add up to 180 degrees.
<ADC = (180-75) = 105 degrees.
So,
<ADB = (180-105) = 75 degrees.
Hope, this will help. Please mark me brainliest.
Thank you.
Select all of the statements that can be determined from the table given.
f(x)
Answer:
i don't know
Step-by-step explanation:
I don't know
Karly buys a model car for $64. Then she spends 2 times as much on supplies to build the model car. How much does Karly spend altogether?
Answer:
192
Step-by-step explanation:
Supplies = 2 model cost
= 2*64 = 128
Total cost = model + supplies
= 64 + 128
=192
What is filtration??
The liquid which has passed through the filter is called the filtrate. Filtration is a physical or chemical separation process that separates solid matter and fluid from a mixture using a filter medium that has a complex structure through which only the fluid can pass.
A map has a scale of 2 cm: 11 m. The actual distance x from point A to point B, if these two points are 12
centimeters apart on the map, is
A. 4 m
B. 66 m
C. 12 m
D. 33 m
9514 1404 393
Answer:
B. 66 m
Step-by-step explanation:
Map and ground distances are proportional:
ground/map = ground/(12 cm) = (11 m)/(2 cm)
ground = (12 cm)(11 m/(2 cm)) = 66 m
The distance from A to B is 66 m.
What is the area of a circle with a diameter of 11 feet?
ft2
Answer:
95 ft²
Step-by-step explanation:
A = 1/4 x pi x diameter
A = 1/4 x 3.14 x 11²
A = 0.785 x 121
A = 94.985 ft²
Find the value of unknown angles.
Х
50
Answer:
[tex]x = 70^o[/tex]
Step-by-step explanation:
Given
See attachment for triangle
Required
Find x
To solve for x, we make use of:
[tex]x + 50^o + 60^o = 180^o[/tex] --- angles in a triangle
[tex]x + 110^o = 180^o[/tex]
Collect like terms
[tex]x = 180^o-110^o[/tex]
[tex]x = 70^o[/tex]
You are interested in getting an investment portfolio started with any extra money you make from your part time job while also going to school. While flipping through the latest edition of Money magazine, you read an article that of a survey of magazine subscribers, 164 were randomly selected and analyzed. A 95% confidence interval was constructed for the proportion of all subscribers who made money in the previous year in their investments, which was ( 0.6904 , 0.8218 ). What is the correct interpretation of this confidence interval
Answer:
We are 95% confident that the proportion of all Money magazine subscribers that made money in the previous year from their investments is between 0.6904 and 0.8218
Step-by-step explanation:
The confidence interval gives a range of values for which a population proportion will fall based on a given level of confidence, in this case it is 95%. This interval is calculated using the sample proportion. The sample proportion in this case is based on a number of samples examined. The interval we obtain in this case (0.6904; 0.8218) is the estimated range which we expect the population proportion to fall ; with a 95% confidence.
Find the area of this rectangle.
5 in
10 in
A = [?] in?
Answer:
A=50
Step-by-step explanation:
5x10=50in
Answer:
area of a rectangle is l×w ask 5 ×10 =50
Hawkeye Elementary School is having a raffle for students who are in sports. The school leaders are voting to choose between the two options below.
i. Option 1: Raffle off two items and include all boys and girls in each raffle.
ii. Option 2: Have a separate raffle for boys and a separate raffle for girls.
Not in sports In sports Total
Girls 17 18 35
Boys 17 21 38
Total 34 39 73
Required:
If you get to vote and you have a daughter in sports, which option would you vote for and why?
Answer:
The answer is "0.052 and 0.056".
Step-by-step explanation:
For option 1:
Your daughter's opportunity (in sport) (when a person only wins once)
[tex]\to \frac{1}{39}+\frac{1}{38}\\\\ \to \frac{38+39}{1,482} \\\\\to \frac{38+39}{1,482} \\\\\to 0.052[/tex]
For option 2:
Your daughter would win a chance (in sport) [tex]= \frac{1}{18} = 0.056[/tex]
So a little better, the second option. The rationale is that there are fewer girls than boys so if a lottery in a smaller group is awarded you are more likely to win.
Someone please help me
Find the distance between the points (15,-6) and (10,3). I need to show my work PLEASE HURRY 15 points CORRECT ANSWERS ONLY PLEASE
Step-by-step explanation:
d = √(15-10)²+(-6-3)²
=√5²+(-9)²
= √25+81
=√106
10.3 units
true or false? like terms have the same variable and the same exponent.
Susan made $208 miles in 13 hours. At the same rate, how many hours would she have to work to make $114
Angles with sides that form two pairs of opposite rays are called
Angles with sides that form two pairs of opposite rays are called vertical angles.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]
8) Solve the system of equations by substitution
y = x + 2
3x + y = 10
Answer:
(2, 4)
Step-by-step explanation:
y = x + 2
3x + y = 10
3x + (x + 2) = 10
4x + 2 = 10
4x = 8
x = 2
y = (2) + 2
y = 4
Step-by-step explanation:
3x + y = 10
substituting the value of y = x + 2
=>3x + x+2 = 10
=>4x= 10-2
=>4x= 8
=>x= 8/4
=>x= 2
And, y= 2+2 = 4
Choose the best answer. If necessary, Question 12,9,16,1, 6,5, 84 What is the median of the data set shown?
Answer:
The median of this problem is 9
You roll two six-sided dice numbered from one through six. What is the probability that the sum of the two dice is greater than or equal to six? Round your answer to two decimal places.
Answer:
ok so so here are the numbers equal to 6
1,5
5,1
2,4
4,2
3,3
so five options and there are 36 possible outcomes(6*6)
so 5/36 or 0.14
Hope This Helps!!!
The solution is, the probability that the sum of the two dice is greater than or equal to six is 0.14.
What is probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
here, we get,
You roll two six-sided dice numbered from one through six.
so here are the numbers equal to 6
1,5
5,1
2,4
4,2
3,3
so five options and there are 36 possible outcomes(6*6)
we get, sample space = 36
favorable outcome = 5
probability = 5/36
so 5/36 or 0.14
To learn more on probability click:
brainly.com/question/11234923
#SPJ2
Find the area of a circular pool whose radius is 2 meter.
Answer:
Step-by-step explanation:
area of a circular pool=πr^2
=3.14*(2)^2
=3.14*4
=12.56 m^2
Answer:
12.56 inches squared
Step-by-step explanation:
Radius= 2
Diameter= 4 (double the radius)
Pi= 3.14
Formula for finding area of circle= Pi x r squared
2 x 2= 4 (to find diameter)
4 x 3.14= 12.56
(to find area)
:)
is 0.2777775 an irrational number?
Answer:
an irational number is a number that can't be represented as a fraction but
0.2777775 can be represented as the fraction
111111 /400000
so no its not
Hope This Helps!!!
What is the solution to the system of equations below 2X minus Y equals 10 and Y equals -1/2 X plus 5
Answer:
x = 2 , y = 4.
(2,4)
Step-by-step explanation:
Simultaneous equation:
2x - y = 10 E1
y = [tex]-\frac{1}{2}x[/tex] + 5 E2
Substitute equation 2 into equation 1 for the y value.
2x - [tex]-\frac{1}{2}x[/tex] + 5 = 10
2x - [tex]-\frac{1}{2}x[/tex] = 5
2x + [tex]\frac{1}{2}x[/tex] = 5
[tex]\frac{5}{2} x[/tex] = 5
x = 2
Substitute the x value into equation 2.
y = [tex]-\frac{1}{2}2[/tex] + 5
y = -1 + 5
y = 4
The systolic blood pressure (BP) of adults in the USA is nearly normally distributed with a mean of 121 and standard deviation of 16 . Someone qualifies as having Stage 2 high blood pressure if their systolic blood pressure is 160 or higher. (a) Around what percentage of adults in the USA have stage 2 high blood pressure
Answer:
Around 0.73% of adults in the USA have stage 2 high blood pressure
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 121 and standard deviation of 16.
This means that [tex]\mu = 121, \sigma = 16[/tex]
Around what percentage of adults in the USA have stage 2 high blood pressure
The proportion is 1 subtracted by the p-value of Z when X = 160. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{160 - 121}{16}[/tex]
[tex]Z = 2.44[/tex]
[tex]Z = 2.44[/tex] has a p-value of 0.9927.
1 - 0.9927 = 0.0073
0.0073*100% = 0.73%
Around 0.73% of adults in the USA have stage 2 high blood pressure