In triangle ABC angle a equals 72° side C equals 61 and angle B equals 16° find side a to the nearest 10th
Answers
Answer:
58.0 units
Step-by-step explanation:
In order to use the law of sines, we need to know angle C. It will be the angle that brings the total of all angles to 180°.
C = 180° -A -B = 180° -72° -16°
C = 92°
The law of sines tells us ...
a/sin(A) = c/sin(C)
a = c·sin(A)/sin(C) = 61·sin(72°)/sin(92°)
a ≈ 58.0 . . . . units
Related Questions
What is the equivalent equation solved for h?
Answers
Answer:
[tex]h=\frac{P}{mg}[/tex]
Step-by-step explanation:
If you divide both sides of this equation by mg, you are left with [tex]h=\frac{P}{mg}[/tex], which is the equivalent solution solved for h. Hope this helps!
Answer:
it's B
Step-by-step explanation:
3
Solve y - 18 = -3.
a) 15
6
b) 21
9
Oc) -21
12
d) -15
Answers
Explaining
y = -18 + 3
y= -15
Answer:
Its a) 15
Step-by-step explanation:
idk how to do this , pls help
Answers
Answer:
15 times 32 times 6 is 2880
16 times 6 times 2 is 192
2880 plus 192 is 3074
D) 3074
What fraction of the circle would 3 pieces represent?
Answers
Answer:
3/4 would represent the shaded in parts of the circle
Step-by-step explanation:
I cannot give you an accurate answer seeing as you did not give much detail
how do you write 5179 in figures
Answers
In a study of contamination of fish in the nations' rivers and lakes, the EPA found that 91% of water quality test sites showed the presence of PCB, a cancer-causing agent. Suppose a follow-up study of 200 rivers and lakes in 2018 showed the presence of PCB in 177 cases. Does the statistical evidence support the conclusion that as of 2018 water clean-up programs have reduced the proportion of locations with PCB? Use as level of significance. Based on the above, the hypothesis statement and decision are A. The alternative hypothesis is less than.91/Do not reject the null B. The null hypothesis is greater than and equal to.886/Do not reject the null C. The null hypothesis is less than .855/Do not accept the nul D. The alternative hypothesis is greater than .91 /Do not acoept the null E. The nullis less than .91 /Do not reject the null
Answers
Answer:
A. The alternative hypothesis is less than.91/Do not reject the null
Null hypothesis: H0 = 0.91
Alternative hypothesis: Ha < 0.91
z = -1.24
P value = P(Z<-1.24) = 0.11
Rule
If;
P-value > significance level --- accept Null hypothesis
P-value < significance level --- reject Null hypothesis
Z score > Z(at 95% confidence interval) ---- reject Null hypothesis
Z score < Z(at 95% confidence interval) ------ accept Null hypothesis
Step-by-step explanation:
Given;
n=200 represent the random sample taken
Null hypothesis: H0 = 0.91
Alternative hypothesis: Ha < 0.91
Test statistic z score can be calculated with the formula below;
z = (p^−po)/√{po(1−po)/n}
Where,
z= Test statistics
n = Sample size = 200
po = Null hypothesized value = 0.91
p^ = Observed proportion = 177/200 = 0.885
Substituting the values we have
z = (0.885-0.91)/√(0.91(1-0.91)/200)
z = −1.23541552776
z = -1.24
To determine the p value (test statistic) at 0.05 significance level, using a one tailed hypothesis.
P value = P(Z<-1.24) = 0.107488 = 0.11
Since z at 0.05 significance level is between -1.96 and +1.96 and the z score for the test (z = -1.24) which falls with the region bounded by Z at 0.05 significance level. And also the one-tailed hypothesis P-value is 0.11 which is higher than 0.05. Then we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say that at 5% significance level the null hypothesis is valid, therefore do not reject null.
A cone-shaped pile of sawdust has a base diameter of 36 feet, and is 14 feet tall. Find the volume of the pile.
Answers
The volume of the cone-shaped pile of sawdust is, 4752 cubic feet.
What is cone?A cone is a three-dimensional geometric structure with a smooth transition from a flat, usually circular base to the apex or vertex, a point that creates an axis to the base's center.
Given that,
Diameter of cone 2r = 36 feet,
Height of cone h = 14 feet.
Since, diameter 2r = 36 ⇒ r = 18 feet
The volume of the cone V = 1/3×π×r²×h
V = 1/3×22/7×18×18×14
= 4752 cubic feet
The volume of the cone-shaped pile is, 4752 cubic feet.
To learn more about Cone on:
https://brainly.com/question/20757316
#SPJ2
Set up the inequality of $3.000 and $15
Answers
Answer:
$3.00 < $15.00
Step-by-step explanation:
It is unusual to see a dollar amount with three digits to the right of the decimal point. (This sometimes happens when prices are expected to be multiplied by large quantities.) On the other hand, it sometimes happens that a period gets substituted for a comma. So, some relevant inequalities might be ...
$3.00 < $15
$3,000 > $15
On each trial of a digit span memory task, the participant is asked to read aloud a string of random digits. The participant must then repeat the digits in the correct order. If the participant is successful, the length of the next string is increased by one. For instance, if the participant repeats four digits successfully, he will hear five random digits on the next trial. The participant's score is the longest string of digits he can successfully repeat.
A professor of cognitive psychology is interested in the number of digits successfully repeated on the digit span task among college students. She measures the number of digits successfully repeated for 49 randomly selected students. The professor knows that the distribution of scores is normal, but she does not know that the true average number of digits successfully repeated on the digit span task among college students is 7.06 digits with a standard deviation of 1.63 digits.
a. The expected value of the mean of the 49 randomly selected students, M, is:_____
b. The standard error of M is:______
Answers
Answer:
a) The expected value of the mean of the 49 randomly selected students, M, is 7.06 digits
b)
The Standard error of the mean is 0.2328
Step-by-step explanation:
Explanation:-
Given sample size 'n' = 49
The Expected value of the mean of 49 randomly selected students
μₓ = μ =7.06 digits
b)
The Standard error of the mean determined by
[tex]S.E = \frac{S.D}{\sqrt{n} }[/tex]
Given sample size 'n' = 49
The Standard deviation 'σ' = 1.63 digits
The Standard error
[tex]S.E = \frac{S.D}{\sqrt{n} }[/tex]
[tex]S.E = \frac{1.63}{\sqrt{49} } = 0.2328[/tex]
Final answer:-
a) The expected value of the mean of the 49 randomly selected students, M, is 7.06 digits
b) The Standard error of the mean is 0.2328
WILL GIVE BRAINLIEST ANSWER TO WHOEVER ANSWERS FIRST AND CORRECT PLEASE EXPLAIN WHY YOU ARE CORRECT
Answers
Answer:
x=2
Step-by-step explanation:
The midsegment AB=(DG+EF)/2
so (5x-4+8x+2)/2=12
*2 *2
13x-2=24
+2 +2
13x=26
:13 :13
x=2
The diagonal of a square is x units. What is the area of the square in terms of x?
3x square units
x? square units
2x square units
x square units
Answers
Answer:
(x^2)/2
Step-by-step explanation:
If the diagonal is x, then the side length is sqrt(x^2/2)
That makes the area (x^2)/2
Answer:
c is wrong thats what i had picked
Step-by-step explanation:
Factor 4x^3 + 40x^2 + 100x
Answers
Answer:
4 x (x + 5)^2
Step-by-step explanation:
Factor the following:
4 x^3 + 40 x^2 + 100 x
Factor 4 x out of 4 x^3 + 40 x^2 + 100 x:
4 x (x^2 + 10 x + 25)
The factors of 25 that sum to 10 are 5 and 5. So, x^2 + 10 x + 25 = (x + 5) (x + 5):
4 x (x + 5) (x + 5)
(x + 5) (x + 5) = (x + 5)^2:
Answer: 4 x (x + 5)^2
What are the solutions of the quadratic equation (x + 3)2 = 49?
O x=-2 and x = -16
O x = 2 and x = -10
O x= 4 and x = -10
O x = 40 and x = -58
Answers
Answer:
4 and -10
Step-by-step explanation:
Take the square root:
x +3 = ±√49 = ±7
Subtract 3:
x = -3 ± 7
For the minus sign, we have ...
x = -3 -7 = -10
For the plus sign, we have ...
x = -3 +7 = 4
The solutions are x = 4 and x = -10.
The solutions of the quadratic equation x = 4 and x = –10
Step-by-step explanation:
Ivy corporation gave 79 people a bonus. If Ivy had given 5 more people bonuses, Ivy would have rewarded 3/5 of the workforce. How large is Ivy's workforce. HELP.
Answers
Answer:
140 people in Ivy's workforce
Step-by-step explanation:
First, add together the 79 workers and the 5 extra people.
79 + 5 = 84
Now take 84 divided by 3/5 to find the number of people who are in the workforce.
84/ 3/5 = 140 people in Ivy's workforce
Answer:
140
Step-by-step explanation:
First, add together the 79 workers and the 5 extra people.
79 + 5 = 84
Now take 84 divided by 3/5 to find the number of people who are in the workforce.
84/ 3/5 = 140 people in Ivy's workforce
Patty goes to the mall at 9:30 am and meets a friend at a movie at 11:15 am. Patty wants to shop and have 55 min for lunch before meeting her friend
How much time can patty spend shopping?
Answers
Answer:
50 minutes
Step-by-step explanation:
Time when patty goes to mall = 9:30 am
Time when he has to meet a friend = 11.15 Am
Spare time patty has is interval between Time when he has to meet a friend
and Time when patty goes to mall
which can be written as
Spare time patty has = 9:30 am to 10:30 am which is 1 hours 45 mins.
One hour has 60 minutes.
Thus total time in minutes patty has = 1*60 minutes + 45 minutes = 105 minutes.
Time which will be used by Patty to have lunch = 55 minutes.
Time left out if 55 minutes are used in lunch = total spare time - time for lunch = (105 - 55 ) minutes = 50minutes.
Patty wants to shop in the spare time after allocating 55 minutes to lunch.
Thus the rest of time which is 50 minutes, he can use to shop.
Please help.
The best answer will get brainliest.
Answers
Answer:
Mean= 10
Step-by-step explanation:
Mean= Total value of data/Number of datas given
=3+2+26+9/4
=40/4
=10
Mean= 10
ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing. Show your work or give an explaination.
Answers
Answer:
Answer is (b) The worker with 40 hours of training is paid $1400 per month
There were 4 golden retrievers at the dog park last Saturday, along with 4 other dogs.
Considering this data, how many of the next 18 dogs to arrive at the park next Saturday
should you expect to be golden retrievers?
Answers
Answer:
9 Golden Retrievers.
Step-by-step explanation:
If there were 8 dogs last Saturday, and half were golden retrievers, next Saturday should have half golden retrievers. 18 divided by 2 equals 9.
[tex]18 \div 2 = 9[/tex]
Hope this helped :)
Answer:
ryt
Step-by-step explanation:
Children under 10 years and older people over 65 years receive a discount on movie tickets. Let x represent the age
of a person who receives a discount.
Which inequality represents the age of a child who receives a discount?
Which inequality represents the age of an older person who receives a discount?
Which compound inequality represents the age of a person who receives a discount?
Done
h Intan
Answers
Answer:
Hi
Step-by-step explanation:
In
what does 1/2 (40x60) =
Answers
1/2 of 2400
=1200
You could use the calculator on the device you asked this question with.
A farmer has a large field that is x feet in length. He wants to fence in a rectangular section in the middle of the field, leaving a length of 100 feet of open field beyond each end of the fenced rectangle. He also wants the width of the fenced-in space to be 100 feet less than its length, as shown in the diagram.
Find the equation in standard form for the area of the fenced-in section in terms of the length of the field.
(area = length • width)
Answers
Answer:
y = x2 − 500x + 60,000
Step-by-step explanation:
The length of the fenced-in section is (x − 200) feet, and the width is (x − 300) feet.
area of the fenced-in section = length • width
y = (x − 200)(x − 300)
= x2 − 300x − 200x + 60,000
= x2 − 500x + 60,000
Answer:
y= x^2 − 500x + 60,000
Step-by-step explanation:
Other loser made a mistake
The length of the fenced-in section is (x − 200) feet, and the width is (x − 300) feet.
area of the fenced-in section = length • width
y = (x − 200)(x − 300)
= x^2 − 300x − 200x + 60,000
= x^2 − 500x + 60,000
Which situation can be represented by the equation Y equals 74X
Answers
Answer:
X: amount of a spare part of price $74 per unit.
Y: cost of purchasing X spare parts.
Step-by-step explanation:
We can imagine that X represents the amount of an object, for example a car spare part, which price is $74 per unit.
Then, Y would represent the cost of purchasing X units of that spare part.
What is the next term in the pattern 1000, 500, 250, 125, 62.5, ……
Answers
Answer:
31.25
Step-by-step explanation:
Firstly, we need to identify the pattern.
Pattern: every next number is obtained by dividing the previous number by 2.
1st number = 1000
2nd number = 1000/2 = 500
3rd number = 500/2 = 250
4th number = 250/2 = 125
5th number = 125/2 = 62.5
6th number = 62.5/ 2 = 31.25.
_______________________________________________
It can be also solved using concept of geometric progression
In GP
any nth number is given by = [tex]ar^(n-1)[/tex]
where a is first number
r is the common ratio for the gp
r common ratio is calculated by = nth/(n-1)th
here r = 500/1000 = 1/2
a = 1000
next term which we need to find is 6th terms
Thus, 6th terms = [tex]1000*(1/2)^(6-1)[/tex]
[tex]=1000/2^5[/tex]
=1000/32 = 31.25
698,000 converted to scientific notation
Answers
｡☆✼★ ━━━━━━━━━━━━━━ ☾
Scientific notation is written as:
a x 10^n
where 'a' is a value between 1 and 10
In this case, it would be:
6.98 x 10^5
Have A Nice Day ❤
Stay Brainly! ヅ
- Ally ✧
｡☆✼★ ━━━━━━━━━━━━━━ ☾
Correct Answer:
6.98 x 10^5
A powder diet is tested on 49 people, and a liquid diet is tested on 36 different people. Of interest is whether the liquid diet yields a higher mean weight loss than the powder diet. The powder diet group had a mean weight loss of 42 pounds with a standard deviation of 12 pounds. The liquid diet group had a mean weight loss of 45 pounds with a standard deviation 14 pounds.
Answers
Answer:
Step-by-step explanation:
This is a test of 2 independent groups. The population standard deviations are not known. Let μ1 be the mean weight loss yield of the powder diet and μ2 be the mean weight loss yield of the liquid diet.
The random variable is μ1 - μ2 = difference in the mean weight loss yield of the powder diet and the mean weight loss yield of the liquid diet.
We would set up the hypothesis.
The null hypothesis is
H0 : μ1 = μ2 H0 : μ1 - μ2 = 0
The alternative hypothesis is
H1 : μ1 < μ2 H1 : μ1 - μ2 < 0
This us a left tailed test.
Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is
(μ1 - μ2)/√(s1²/n1 + s2²/n2)
From the information given,
μ1 = 42
μ2 = 45
s1 = 12
s2 = 14
n1 = 49
n2 = 36
t = (42 - 45)/√(12²/49 + 14²/36)
t = - 1.04
The formula for determining the degree of freedom is
df = [s1²/n1 + s2²/n2]²/(1/n1 - 1)(s1²/n1)² + (1/n2 - 1)(s2²/n2)²
df = [12²/49 + 14²/36]²/[(1/49 - 1)(12²/49)² + (1/36 - 1)(14²/36)²] = 70.28/1.03
df = 68
We would determine the probability value from the t test calculator. It becomes
p value = 0.15
Assuming a significance level of 0.05, then
Since alpha, 0.05 < than the p value, 0.15, then we would fail to reject the null hypothesis. Therefore, we can conclude that at a 5% significance level, the liquid diet does not yield a higher mean weight loss than the powder diet.
A right rectangular prism has a height of 15 meters, a length of 4 meters, and a width of 3 meters. Which expressions show how
to calculate the volume? Check all that apply.
VX
2(15+4+3)
15 +4+3
3(4) + 15
60(3)
12(15)
15(4(3)
2(4)(3)(15)
60(4)
Answers
Answer:
60(3), 12(15), 15(3)(4)
Step-by-step explanation:
volume of a rectangular prism is the product of all sides which is 15*3*4. 60(3), 12(15), 15(3)(4) are the only ones equal to that.
Answer:
D,E,F
Step-by-step explanation:
A large pizza costs $8.95, plus $0.65 for each additional topping. Ron paid $10.90 for a large pizza. How many additional toppings did he get?
(please show all your work with a let, so, equation(and solution) and therefore statement).
Answers
8.95+0.65x=10.90
0.65x=1.95
x=3
He got 3 additional toppings onto his large pizza.
Which is NOT a way to state the meaning of the expression h + 7?
Answers
ksnfntntneoeodj because it definitely would not be stating the expression h + 7 so any jumble of words could be your answer
Answer:
Step-by-step explanation:
What’s the correct answer for this? Select the ones that apply
Answers
Answer:
B, C and E
Step-by-step explanation:
1) Proving that opposite sides have equal slopes as they are parallel also
2) Proving that opposite sides are parallel and equal
solve for 4/5 x ( -2/9 )
Answers
Answer:
-8/45
Step-by-step explanation:
4/5 * -2/9
Multiply the numerators
4*-2 = -8
Multiply the denominators
5*9 = 45
numerator over denominator
-8/45