Answer:
∠1 = 90°
∠2 = 26°
Step-by-step explanation:
Find the measure of angle B.
Step-by-step explanation:
C = 180 - 112 = 68°
A = 180 - 68 - 51 = 61°
B = 180 - 61 = 119°
Another way :
We know that B = C + 51 ==> B = 68 + 51 = 119°
Two groups of school children had their forearm lengths measured. Dot plots are provided showing these results.
a
Group Y. There were 6 children who had a forearm length that measured longer than 12 inches.
b
Group X. There were 4 children who had the lowest forearm length of 10 inches in this group.
c
Group X. None of the children in this group had a forearm length longer than 12 inches.
d
Group Y. One child in this group had the smallest forearm length of 10 inches.
Answer:
Stament a, b, and c are correct.
Statement d is INCORRECT.
Step-by-step explanation:
Based on the dot plots given, the following statements are true and correct:
✔️Statement A is correct
Rationale: in the dot plot representing group Y, there are 6 dots on number 13. These shows that 6 children have an arm length of 13 inches. This means that there are actually 6 children who had a forearm length that measured longer than 12 inches.
✔️Statement b is correct:
Rationale: the lowest forearm length displayed on the dot plot for group X is 10 inches, represented by 4 dots.
✔️Statement c is correct:
Rationale: the dot plot for group X shows that the maximum arm length recorded for group X was 12 inches. Therefore no child in group X has a forearm length that is longer than 12 inches.
❌Statement d is NOT CORRECT
Rationale: the dot plot for group Y shows that 2 children had the smallest forearm length of 11 inches.
A rectangular flower garden in Samantha's backyard has 140 feet around its edge. The width of the
garden is 30 feet.
What is the length of the garden?
The length of the garden is
feet.
Answer:
40 feet
Step-by-step explanation:
140=2×(30+x) /:2
70=30+x /-30
40=x
Hector puts together two tables to make a long table for a class picnic.
One table is 7 feet 7 inches long. The other table is 6 feet 9 inches long.
What is the total length of the two tables?
Answer: 14 feet 4 inches
Step-by-step explanation:
Given: The length of the first table = 7 feet 7 inches
The length of the second table = 6 feet 9 inches
The total length of two tables = 7 feet 7 inches + 6 feet 9 inches
= (7+6) feet (7+9) inches
=13 feet 16 inches
Since 1 feet = 12 inches
The total length of two tables = 13 feet+ (12 inches +4 inches)
=13 feet +( 1 feet +4 inches)
= 14 feet 4 inches
Hence, the total length of the two tables = 14 feet 4 inches
Find the lateral area of this cone.
Leave your answer in terms of pi
15cm
8cm
Answer:
lateral surface area of cone =
[tex]\pi rl[/tex]
where, l = slant height, and r = radius
then
[tex]l.a = \pi \times 8 \times 17[/tex]
[tex]l.a = 136\pi[/tex]
The lateral area of this cone will be 136 π. Lateral area is found as the product of pi ,radius and slant height.
What is a cone?It is defined as the three-dimensional shape in which the base is a circular shape and if we go from circular base to top the diameter of the circle reduces and at the vertex, it becomes almost zero.
lateral area of this cone is found as;
L=πrl
L=π×8×17
L=136π
Hence,the lateral area of this cone will be 136 π.
To learn more about the cone refer to the link;
brainly.com/question/16394302
#SPJ2
Are these triangles similar? If yes, write a similarity statement.
A 2003 study of dreaming found that out of a random sample of 111 people, 93 reported dreaming in color. However, the rate of reported dreaming in color that was established in the 1940s as 0.24. Check to see whether the conditions for using a one-proportion z-test are met assuming the researcher wanted to test to see if the proportion dreaming in color had changed since the 1940s. Are the conditions met?
A. No, the observations are not independent.
B. Yes, all the conditions are met.
C. No, the sample size is not large enough to produce at least 10 successes and 10 failures.
D. No, the population is not more than 10 times bigger than the sample size.
Answer:
B. Yes, all the conditions are met.
Step-by-step explanation:
According to the question
There is a random sample of 111 people also these people are independent
The population size is also not given so we assume that it should be on infinity i.e. it should be more than 10 times higher as compared with the sample size
And, the number of success in the sample is 93
So, the number of failure would be
= 111 - 93
= 18
So, the 93 and 18 would be higher than 10
Therefore, the option b is correct
Which number does the blue dot represent on the number line?
Approximately how many gallons are in
7 liters? (1 L -0.26 gal.)
A 1.8 gal
C 7.3 gal
B 6.7 gal
D 46 gal
Answer:
A po ang answer kahit icompute pa po.
Step-by-step explanation:
hope it helps you po!
An airplane is flying 4 miles directly over your house. The distance between your house and the airport is 12 miles. How far apart are the airplane and the airport?
Answer:
c=7.180 miles. 2. Jack is on one side of a 200-foot-wide canyon and Jill is on the other. Jack and Jill can both ... a=2.947 miles. 5. Airplane A is flying directly toward the airport which is 20 miles away. The pilot notices ...
Ryan exponential function of the form f(t)= a×b^t to represent the following situation. assume t is in years. an account has an initial investment of $91,000, increasing by 3.76% per year. F(T)=_________
Answer
[tex]f(t) = 91000 *1.0376^t[/tex]
Explanation
Given
[tex]a = 91000[/tex] -- initial
[tex]r = 3.76\%[/tex]
Required
The exponential equation
The exponential equation is:
[tex]y =ab^t[/tex]
Where
[tex]b=1 +r[/tex]
We used minus, because the rate increases..
So, we have:
[tex]b=1 +3.76\%[/tex]
[tex]b=1 +0.0376[/tex]
[tex]b=1.0376[/tex]
So:
[tex]y =ab^t[/tex]
[tex]y = 91000 *1.0376^t[/tex]
Hence:
[tex]f(t) = 91000 *1.0376^t[/tex]
A sports fan conducted a test to investigate whether male high school athletes are equally divided among football, soccer, swimming, tennis, and basketball. A sample of male high school athletes was selected and the resulting value of the chi-square test statistic was 10.65. Which if the following represents the p value
Answer:
[tex]P(x^{2} \geq 10.65) = 0.03\\[/tex]
Step-by-step explanation:
Since there are 5 categories, there are 5−1=4 degrees of freedom. The probability of obtaining a chi-square test statistic greater than or equal to 10.65 with 4 degrees of freedom is approximately 0.03, as found using technology.
Solve it below:
...............
Answer:
i.+25
ii.+18
iii.-10
Step-by-step explanation:
hope this helps
Answer and step-by-step explanation:
We need to show the increase or decrease in Andre's money by representing it through a number.
i. His uncle gave him $25 as a present
This would be +$25
ii. He earned $18 dollars tutoring
This would be +$18
iii. He spent $10 on a book
This would be -$10
math pre calc, transformation of radical functions
PLEASE HELP GOT TO HAND THIS IN SOON IM CONFUSED.
I WILL VENMO ANYONE WITH GOOD ANSWERS
Answer:
Im pretty sure you can just search this up number by number and you will find all the answers
A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation. x + y = 24 3x + 5y = 100 What does the solution of this system indicate about the questions on the test? The test contains 4 three-point questions and 20 five-point questions. The test contains 10 three-point questions and 14 five-point questions. The test contains 14 three-point questions and 10 five-point questions. The test contains 20 three-point questions and 8 five-point questions.
Answer:
Let x be the number of 3- point questions and y be the number of 5-points questions.
Step-by-step explanation:
Hey y’all answers in the picture ABC or D. Plz help
Answer:
D
Step-by-step explanation:
Lets use the the chart. The (5,9) if the 5 was doubled that it would equal to 10. Now you subract 1 from it making it 9.
PLEASEEEE I NEED IT ASAP 51 POINTS IS THE MAX I CAN GIVE PLEASEEEEE HELP ME
Answer:
A
Step-by-step explanation:
2(10+7)
2(17)
=34
Answer:
the answer is a
Step-by-step explanation:
10 times 2 plus 7 times 2=34
One half of a number , n is at most 24
Answer:
So if N is 24, then the number is 12.
Step-by-step explanation:
24 / 2 = 12
What is the answer to 1+1 ?
Answer:
2
Step-by-step explanation:
1+1=2
Thank you for coming to my TED Talk
Answer:
22
Step-by-step explanation:
Jax played baseball. His batting average for the season was 0.362. What is his batting average in the expanded form
Answer:
Jax should quit baseball hes bad at it
Step-by-step explanation:
HELP ME ASAP!!!! I’m very confused and I need help!! Thanks!
Answer:
Reason 2)The transitive property of congruenceStep-by-step explanation:
There are several sort of "obvious" properties of equality/congruence. Keeping them sorted out can be a bit of a trick.
A = A . . . . reflexive property
A = B ⇔ B = A . . . . symmetric property (erroneously cited in the proof)
A = B, B = C ⇒ A = C . . . . transitive property (the one needed in the proof)
__
Not to confuse the issue, but there is also the "substitution property of equality" that says if X = Y, then X can be substituted for Y or vice versa. In the end, the transitive property is an application of this, where we're substituting for B in the second equation, or for A in the first equation.
The A=B=C form of Statement 1) in the proof is what gives you the clue it is the transitive property that is wanted here.
The diagram shows three touching circles.
A is the centre of a circle of radius x centimeters.
B and C are the centers of circles of radius 3.8 centimeters. Angle ABC = 70.
Find the value of x
Answer:
x = 7.31 cm
Step-by-step explanation:
cos 70° = 3.8/AB
0.3420 = 3.8/AB
AB = 11.11 cm
x = 11.11 - 3.8 = 7.31 cm
The value of x which is the radius of circle A is 7.31 cm
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
AB = AC, hence ∠B = ∠C = 70°
∠A + ∠B + ∠C = 180° (angles in a triangle)
∠A + 70 + 70 = 180
∠A = 40°
BC = 3.8 + 3.8 = 7.6
Using sine rule:
BC/sinA = AB / sinB
7.6/sin(40) = AB/sin(70)
AB = 11.11 cm
x = 11.11 - 3.8 = 7.31 cm
The value of x which is the radius of circle A is 7.31 cm
Find out more on equation at: https://brainly.com/question/2972832
A manufacturer of band saws wants to estimate the average repair cost per month for the saws he has sold to certain industries. He cannot obtain a repair cost for each saw, but he can obtain the total amount spent for saw repairs and the number of saws owned by each industry. Thus, he decides to use cluster sampling, with each industry as a cluster. The manufacturer selects a simple random sample of n = 20 from the N = 96 industries he services. The data on total cost of repairs per industry and number of saws per industry are as given in the accompanying table. Estimate the average repair cost per saw for the past month and place a bound on the error of estimation.
Industry No.of saws Total repair cost for past month
1 3 50
2 7 110
3 11 230
4 9 140
5 2 60
6 12 280
7 14 240
8 3 45
9 5 60
10 9 230
11 8 140
12 6 130
13 3 70
14 2 50
15 1 10
16 4 60
17 12 280
18 6 150
19 5 110
20 8 120
Answer:
The average repair cost per saw for the past month is 20.
The bound of error of estimation is ±10.
Step-by-step explanation:
a) Data and Calculations:
Industry No.of saws Total repair cost Average
for past month
1 3 50 16.67
2 7 110 15.71
3 11 230 20.91
4 9 140 15.56
5 2 60 30
6 12 280 23.33
7 14 240 17.14
8 3 45 15
9 5 60 12
10 9 230 25.56
11 8 140 17.50
12 6 130 21.67
13 3 70 23.33
14 2 50 25
15 1 10 10
16 4 60 15
17 12 280 23.33
18 6 150 25
19 5 110 22
20 8 120 15
Total 130 2,565 19.73
Average = Sum of the total repair cost for past month divided by the number of saws repaired
= 19.73 (2,565/130)
= 20
The bound on error of estimation = the difference between the upper bound of the interval and the calculated mean
= 30 - 20
= 10
The lower bound = 10
The bound of error is also = (30 -10)/2 = 10
Help me please sjsjdjs it’s due in a few minutes
Answer:
The answer is the 3rd dot.
Step-by-step explanation:
hope this helps
Answer:
The one right below 8
Step-by-step explanation:
Solve a" + 14a + 45 = 0 by factoring
Answer:
a = -3
Step-by-step explanation:
-3 + (14 * -3) + 45 = 0
-3 + -42 + 45 = 0
-3 + 3 = 0
So, the answer is -3
Hope this helps! :)
A picture 10 feet long is to be centered on a wall that is 14 feet long. How much space is there from the edge of the wall to the picture?
Answer:
4 feet is left in the wall
Step-by-step explanation:
If something is 1 foot and it’s supposed to be 2 feet, how much space is left? 1 foot, therefore you have to subtract what you want from what you have.
Answer:
2 ft.
Step-by-step explanation:
14 - 10 = 4.
4/2 = 2
You divide beacuse theres space on botrhsides of the painting.
Junior's brother is 1 1/2
meters tall. Junior is 1 1/5
of his brother's height.
How tall is Junior?
Answer:
Step-by-step explanation:
1 1/5 of 1 1/2 meters
= (1+1/5) x (1+1/2)
= 1x1 + 1x1/2 + 1x1/5 + 1/5*1/2
= 1 + 1/2 + 1/5 + 1/10
= 1 + (1x5+1x2+1)/10
= 1 8/10
= 1 4/5 meters
Answer:
1 4/5 meters
Step-by-step explanation:
1 1/5 of 1 1/2 meters
= (1+1/5) x (1+1/2)
= 1x1 + 1x1/2 + 1x1/5 + 1/5*1/2
= 1 + 1/2 + 1/5 + 1/10
= 1 + (1x5+1x2+1)/10
= 1 8/10
= 1 4/5 meters
The area of each triangular face is 30 square feet true or false
Answer:
Step-by-step explanation:
true it is true true true
For the following right triangle, find the side length x.
X
12
35
help pls
Answer:
the length of side X is 37
Can you help me answer this question???????
Answer:
3^12
Step-by-step explanation: