Answer:
B. 40.2 degrees
Step-by-step explanation:
Consider ΔFGE. Given that ∠FEG = 90° and ∠FGE is x°.
To find the value of ∠FGE use trigonometric ratios.
Use sine ratio to find the value of ∠FGE.
Rewriting it in terms of x° as follows,
Now find the opposite and hypotenuse side of the angle ∠FGE.
So opposite side of ∠FGE is FE and hypotenuse side of ∠FGE is FG.
Substituting the values,
Given that length of FE is 12 inch and FG is 18.6 inch.
Substituting the value,
To find the value of x, taking inverse sin.
Calculating the value,
Rounding to nearest tenth the value of angle is 40.2
Therefore measure of ∠FGE is 40.2° .
A textbook store sold a combined total of 354 history and sociology test books in a week. The number of history textbooks sold was two times the number of sociology textbooks sold. How many textbooks of each those were sold?
Answer: History textbooks sold = 236, Sociology textbooks sold = 118
Step-by-step explanation:
Given
- There are in total 354 books
- Let x be the number of sociology textbooks sold
- Let 2x be the number of history textbooks sold
Solve
Given
x + 2x = 354
Combine like terms
3x = 354
Divide 3 on both sides
3x / 3 = 354 / 3
x = 118
2x = 118 × 2 = 236
Hope this helps!! :)
Please let me know if you have any questions
Answer:
sociology textbooks = 118history textbooks = 236Explanation:
sociology textbooks = 2 × history textbooks
354/3 = 118
sociology textbooks = 118
history textbooks = 118×2 = 236
A flag pole casts a 5 foot shadow while a nearby sign post casts a l 1/4 foot shadow. Find the height of the flagpole if the sign post is 4 feet high.
Answer:
16 ft
Step-by-step explanation:
if the signpost is 4 ft and the shadow is 1.25 feet, the ratio of the shadow to post is 1.25:4 or 5/16
If the flagpole makes a 5 ft shadow, the equation for the height is 5/(5/16)
5/(5/16) = 5/0.3125 = 16
Four members of a relay team evenly split the distance of a race. Each person ran more than 100 meters. Which inequality can be used to represent d, the total distance the group ran?
4 d greater-than 100
4 d less-than 100
StartFraction d Over 4 EndFraction greater-than 100
StartFraction d Over 4 less-than 100
Answer:
The answer would be C.
Step-by-step explanation:
Since each person ran more than 100 meters, the answer would be greater than 100.
d is the total distance the group ran, not the individual distance, so it couldn't be 4d because that would mean it would be 4 times d.
The answer would be d divided by 4. d/4. That is because the total distance divided by 4 would be the individual distance.
Answer:
it is c
Step-by-step explanation:
William needs to take out a loan for $2,400. Which of these payment plans would have William
paying the last interest
A 18 payments of $144.15
8 12 Payments of $211
C 15 payments of $170.88
D payments of $110.75
Can I get some help!
Answer:
-10
Step-by-step explanation:
you just count down each line by 2 until you get to the blue point
please help this is so hardddd
Answer:
x < 9 ; x > 15
Step-by-step explanation:
| x - 12 | > 3
x - 12 > 3
x > 12 + 3
x > 15
-x + 12 > 3
-x > 3 - 12
-x > -9
x < 9
Combined:
x < 9 ; x > 15
A researcher posts a radio advertisement offering $35 in exchange for participation in a short study. The researcher accepts the first eight people who respond to the advertisement. Which of the following statements is true about the sample? (5 points)
A. It is a valid sample because the first eight people were selected to participate.
B. It is not a valid sample because it is not a random sample of the population.
C. It is a valid sample because money was offered to participants.
D. It is not a valid sample because it is only a short study.
Answer:
B.
Step-by-step explanation:
Its meh best guess
Answer:
B.
Step-by-step explanation:
I think it is B
Scale factor of quad STOP to quad RAIN____ pls answer I need this so baddd
Answer:
The scale factor is 1/9
Step-by-step explanation:
99 × 1/9 = 11
The water diet requires one to drink two cups of water every half hour from when one gets up until one goes to bed, but otherwise allows one to eat whatever one likes. Four adult volunteers agree to test the diet. They are weighed prior to beginning the diet and after six weeks on the diet. The weights (in pounds) are
Person 1 2 3 4
Weight before the diet 180 125 240 150
Weight after six weeks 170 130 215 152
For the population of all adults, assume that the weight loss after six weeks on the diet (weight before beginning the diet minus weight after six weeks on the diet) is normally distributed with mean (µ). When testing the claim that the diet leads to weight loss after six weeks for all adults given that α=0.05, do you reject or fail to reject the Null Hypothesis, why or why not?
Answer:
hope this help you
have a nice day/night
Tomas drew a rectangle with an area of 6 square centimeters.what is the greatest possible perimeter of this rectangle?Explain please. i want 20 answers please
Drag each statement to the correct location on the table.
Classify the sentences based on whether they are or are not statements.
Answer:
statement : A triangle has six medians. Two congruent shapes can be mapped onto one other. The fomula for area of a square is easy to remember .The square root of 16 is 4. NOT A STATEMENT:you shouldn't add two numbers before factoring them. AA isn't a criterion for congruence of triangles
HOPE THIS HELPS
Find the interquartile range (IQR) of the data in the box plot below.
cm
Amount of rain in Vietnam cities
(centimeters)
+
++
0 1 2
3
4
5
6
7
8
9
10
Stuck? Watch a video or use a hint.
Answer:
1.5 cm
Step-by-step explanation:
Interquartile range (IQR) = Q3 - Q1
From the box plot given, the third quartile (Q3) is the data value that falls exactly at the end of the edge of the rectangular box = 7 cm
The first quartile (Q1) is the data value exactly at the beginning of the edge of the box = 5.5 cm
Interquartile range (IQR) = 7 - 5.5 = 1.5 cm
could someone possibly help me ??
Answer:
b
Step-by-step explanation:
A point is chosen at random on AK what is the probability that the point will be on FI don't reduce
Answer: 3/10
Step-by-step explanation:
The probability that the point will be on FI is 3/10 if a point is chosen at random on AK the answer is 3/10.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
We have a number line shown in the picture:
Total Number partition or gaps between each letter(between A and K):
= 10
Total number of outcomes = 10
Total number of favorable outcomes(between F and I) = 3
The probability that the point will be on FI:
By using the definition of the probability:
= favorable outcomes/total outcomes
= 3/10
Thus, the probability that the point will be on FI is 3/10 if a point is chosen at random on AK the answer is 3/10.
Learn more about the probability here:
brainly.com/question/11234923
#SPJ2
Why Earth Day is important?
Answer:
Earth Day is important because it raises mass awareness for climate change and global warming. Earth day inspires the act to fight and do something to help our environment.
Answer:
earth day is important because ur saving the earth from polution,global warming and ice caps melting
Step-by-step explanation:
hav a gud day fam ^_^
3 mugs have the same capacity as 2 bottles. The capacity of 10 mugs and
8 bottles is 15.4 l. Find the capacity of a mug.
Answer:
0.70L
Step-by-step explanation:
3m=2b
convert 8 b to mugs
therefore 8b=12m
12m+10m=22m
15.4/22=0.700l
Which is more, 6 tablespoons or 17 teaspoons?
Answer: 6 tablespoons is more
Step-by-step explanation:
6 tablespoons equals 18 teaspoons therefore its more
1. Gracie and her son Landon are celebrating spring with an egg hunt! Gracie has hidden eggs filled with candy
for Landon to find.
(a) Landon finds a total of 27 eggs. One third of the eggs have 4 pieces of candy, the rest have 2 pieces of
candy. How many pieces of candy did Landon get?
(b) Gracie offers him a deal: he can either have three pieces of candy now, or if he waits until after lunch he
can have one-seventh of his candy. Which way gets Landon the most candy?
Answer:
a is 72 total pieces of candy
b is more candy if he waits and gets one-seventh
Step-by-step explanation:
a. 9 eggs have 4 so 9x4=36
leaving 18 eggs with 2 so 18x2=36
36+36=72 total
b. 3 now or...
1/7 x 72 = 10.28
Answer:
b.72×1/7=10.28
I think he can wait untul after lunch time
Step-by-step explanation:
Hope this right.But if it's not,im so sorry...Have a nice day
Rabbit populations can double every 30
days. If there are 20 rabbits on a farm,
how many rabbits will be on the farm
after 210 days?
First, complete the equation:
Future Amount = [?](1+[]0
6. What equation would you use to solve for x?*
Select the correct answer.
Which is the apparent solution set of the system of equations graphed on the grid?
A.
{(-0.25,0), (4.25,0)}
B.
{(1,-4), (4,-1)}
C.
{(0,-5), (5,0)}
D.
{(0,-1), (2,-5)}
The solution set of the system of equations graphed on the grid is
{(1, -4), (4, -1)}. Hence, option B is the right choice.
What do we mean by the solution set to a system of equations?
The solution set to a system of equations is the set of all points that satisfies every equation in the given system.
How do we solve the given question?We are asked to find the apparent solution set of the system of equations graphed on the grid.
The solution set will be the set of common points on the graph as they satisfy both the equations in the given system.
The common points are (1, -4) and (4, -1), as the equations pass through these points simultaneously.
∴ The solution set of the system of equations graphed on the grid is
{(1, -4), (4, -1)}. Hence, option B is the right choice.
Learn more about the system of equations at
https://brainly.com/question/2226590
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Solve the compound inequality.
8xGT-64 and 10x <60
-8GTxLT6
-8
-8LT x<6
-8
Answer:
-8<x < 6
Step-by-step explanation:
Given the inequality
8x > -64
x > -64/8
x > -8
-8 <x
If 10x<60
10x/10 < 60/10
x < 6
Combine both
-8<x < 6
This gives the solution
PLS HELP ITS DUE TODAY
Which has the greatest effect on the amount of salt in a salt marsh?
A) the number of animals living in the marsh
B) the closeness of the marsh to the ocean
C) the depth of the water in the marsh
D) the temperature of the water in the marsh
Answer:
the answer is B because ocean water has salt in itplease help i can't figure this problem out
Answer:
The initial fee is $2
Step-by-step explanation:
If each stop is $1.50, then the initial fee for each of the trips is $2.
4*1.5=6, 6+2=8
8*1.5=12, 12+2=14
12*1.5=18, 18+2=20
Write the property that matches the equation.
3+(4+7)=(3+4)+7
Answer:
associative property
Step-by-step explanation:
Answer:
Associative property of addition
Step-by-step explanation:
The associative property states that numbers can be added or multiplied regardless of their paratheses. This means that how the numbers are grouped can change and still be equal. Another example of this would be [tex]2+(6+5)=(2+6)+5[/tex]. In both equations the sides are balanced.
Can someone please help me am stuck on this, thanks.
Answer:
First box: -5, 0, 6, 9
Second box: 10, 12.5
Step-by-step explanation:
4x-12≤24
4x≤24+12
4x≤36
x≤36÷4
x≤9
So the first box would have all the solutions less than or equal to 9:
-5, 0, 6, 9
And the second box would have the solutions greater than 9:
10, 12.5
What is the variance of a data set?
Answer: In probability theory and statistics, variance is the expectation of the squared deviation of a random variable from its mean, and it informally measures how far a set of (random) numbers are spread out from their mean.
Step-by-step explanation: Hope this helps
A line passes through the point (-10,8) and has a slope of 1/2.
Write an equation in slope-intercept form for this line.
Answer:
the answer is y=1/2x+13
u(3u+4)-u(u+2)
HELP PLEASE I NEED IT RN
please help me. right answer will get brainliest
Answer:
I attached the answers :)
Step-by-step explanation:
hope this helps :)
(Its a bit messy becuz i used a mouse to write, sry about that)