Answer:
Step-by-step explanation:
5 is a factor of 15 and 35
15:35 = 3:7
Triangle ABC is a right triangle with legs AB and AC. Points X and Y lie on legs AB and AC, respectively, so that AX:XB=AY:YC=1:2. If BY=16 units and CX=28 units, what is the length of the hypotenuse BC? Express your answer in simplest radical form.
Answer:
i don't get it
Step-by-step explanation:
Contributions to the annual Grayson School fund raising campaign were 10% greater in 1984 than they were in 1983. In 1983, contributions were 15% greater than they were in 1982. If contributions for 1984 total $8855, what was the total in 1982?
Answer:
6774.075
Step-by-step explanation:
1984: 8855
1983: 8855*10/100=885.5
8855-885.5
7969.5
1982
7969.5*15/100=1195.425
7969.5-1195.425
6774.075
A 50-meter vertical tower is braced with a cable secured at the top of the tower and tied 30 meters from the base. What is the angle of depression from the top of the tower to the point on the ground where the cable is tied?
Answer:
angle of depression = 59.04 degrees
Step-by-step explanation:
tangent X = 30/50
tangent X = 0.6
x = 30.96 degrees
90-30.96 = 50.04 degrees
Answer:
Step-by-step explanation:
θ = arctan(50/30) ≈ 59°
The area of a rectangle is 14 square units. It has side lengths x and y. Given each value for x, find y.
a: x = 2 1/3 units, y
b: x = 4 1/5 units, y
x = 7/6 units, y
Answer:
28
Step-by-step explanation: im not sure this type of work is not my best but i gave it a try
13. (07.05 MC) What is the solution to the equation 5x + 2(x - 4) = 5x + x - 10? (1 point) O
Answer:
x = -2
Step-by-step explanation:
5x + 2(x - 4) = 5x + x - 10
First, we need to to multiply out the parathesis in the equation:
5x + 2(x - 4) = 5x + x - 10
5x + 2x - 8 = 5x + x - 10
Next, we can combine "like terms" to simplify the equation further:
5x + 2x - 8 = 5x + x - 10
7x - 8 = 6x - 10
Now we can isolate the variable "x" to one side:
7x - 8 = 6x - 10
x - 8 = -10
x = -2
To check our work, we can replace x with -2 in our original equation:
5x + 2(x - 4) = 5x + x - 10
5(-2) + 2 (-2 - 4) = 5(-2) + -2 - 10
-10 + 2 (-6) = -10 -2 - 10
-22 = -22
I hope this helps!
-TheBusinessMan
State the hypothesis and claim:
The expense of moving the storage yard for the consolidated Package Delivery Service is justified only if it can be shown that the daily average travel distance is less than 214 mi. In 12 trial runs the average distance was 198 mi with a standard deviation of 42 mi At a = .01 test the claim that the average daily travel distance is less than 214 mi.
the claim is _____. H0: ___ H1: ____
Answer:
Null Hypothesis: H₀ : μ < 214 miles
Alternative Hypothesis :H₁: μ> 214 miles
The calculated value |t| = 1.319 < 3.4966 at 0.01 level of significance
Null hypothesis is accepted
The average daily travel distance is less than 214 miles
Step-by-step explanation:
Step(i):-
Given that the size of the sample 'n' = 12
The mean of the Population = 214 miles
The mean of the sample = 198 miles
The standard deviation of the sample = 42 miles
Level of significance = 0.01
Step(ii):-
Null Hypothesis: H₀ : μ < 214 miles
Alternative Hypothesis :H₁: μ> 214 miles
Test statistic
[tex]t = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }[/tex]
[tex]t = \frac{198 -214}{\frac{42}{\sqrt{12} } }[/tex]
|t| = |- 1.319| = 1.319
Degrees of freedom = n-1 = 12 -1 =11
critical value [tex]t_{(0.005 , 11)} = 3.4966[/tex]
The calculated value |t| = 1.319 < 3.4966 at 0.01 level of significance
Null hypothesis is accepted
The average daily travel distance is less than 214 miles
What might have happened if the Dodgers had not signed Jackie Robinson?
1. African Americans would not be allowed to play baseball anywhere
2. Willie Mays might not have played in the Major Leagues
3. The civil rights movement would not have happened
4. Segregation would not have ended
Answer:
1
Step-by-step explanation:
Its 1 because he was the first black baseball player in history of baseball im pretty sure.
HELP PLEAESE IT EASY
Unrestrained growth of cells in a petri dish can be extremely rapid with a single cell growing into a number of cells given by the formula and parentheses T parentheses equals eight to the tea after T hours enter the formula for the number of cells in the petri dish on a culture started with 20 isolated sauce
2 What is the meaning of each part of Carla's expression?
Answer:
you need to add Carla's expression or something for us to answer this question I can try to help if you add it
Step-by-step explanation:
have a good rest of your day tho :) ❤
Noah spent some of his allowance on monday,1/8 of his allowance on Tuesday,1/8 of it on Wednesday and 2/8 of it on thursday.noah has none of his allowance money left.what fraction of his allowance did he spend on monday?explain
Answer:
Noah spent 4/8 of his allowance on Monday.
Step-by-step explanation:
Given that Noah spent some of his allowance on Monday, 1/8 of his allowance on Tuesday, 1/8 of it on Wednesday and 2/8 of it on Thursday, and has none of his allowance money left, to determine what fraction of his allowance did he spend on Monday the following calculation must be performed:
8/8 - (1/8 + 1/8 + 2/8) = X
8/8 - 4/8 = X
4/8 = X
Therefore, Noah spent 4/8 of his allowance on Monday.
8(1+2i)-(7-3i)=1+5i
What mistake did Daine make?
Answer:
He did not apply the distributive property correctly for 8(1 + 2i).
Step-by-step explanation:
Clarkson University surveyed alumni to learn more about what they think of Clarkson. One part of the survey asked respondents to indicate whether their overall experience at Clarkson fell short of expectations, met expectations, or surpassed expectations. The results showed that 5% of the respondents did not provide a response, 26% said that their experience fell short of expectations, and 65% of the respondents said that their experience met expectations. (a) If we chose an alumnus at random, what is the probability that the alumnus would say their experience surpassed expectations
Answer:
0.04
Step-by-step explanation:
We are given that
The probability that the alumnus did not provide response=5%
The probability that the alumnus did not provide response=[tex]\frac{5}{100}=0.05[/tex]
The probability that the alumnus would say their experience fell short of expectations=26%=0.26
The probability that the alumnus would say their experience met expectations=65%=0.65
We have to find the probability that the alumnus would say their experience surpassed expectations.
We know that
Sum of all probabilities =1
Using the property
The probability that the alumnus would say their experience surpassed expectations=1-(0.05+0.26+0.65)
The probability that the alumnus would say their experience surpassed expectation=0.04
Mrs law bought 1/2 of a cake. She cut it into 4 equal pieces. What fraction of the whole cake is each piece. A. 1/4. B. 1/2. C. 2/3. D. 1/8
Answer:
d
Step-by-step explanation:
Answer:
It would be d since its 1/2 and there asking for the whole cake
92 divided by the sum of 49 and 36?
Answer:
92/85
Step-by-step explanation:
3x2/5=6/5=
Please I need help with this problem
Answer:
1.2
Step-by-step explanation:
[tex]\frac{3x2}{5}[/tex] = [tex]\frac{6}{5}[/tex] = 1.2
Answer: 6/5
Step-by-step explanation:
What is the ninth term of the geometric sequence 81, 27, 9, 3, ... ?
Answer:
59049
Step-by-step explanation:
I calculated it and got 59049
PLZ HELP PLZZZZZZZZZZ
Answer:
c i believe
Step-by-step explanation:
Write an expression that is equivalent to
5(a+3b)+6+8a+12
Answer:
13a+15b+18 is the answer hope it helps
Answer:
[tex]5(a+3b)+6+8a+12=13a + 15b + 18[/tex]
Step-by-step explanation:
Expanding rules (and rearranging) gives us that
[tex]5(a+3b)+6+8a+12\\= (5a + 15b) + 8a + (6 + 12)\\= (5a + 8a) + (15b) + (18)\\= 13a + 15b + 18[/tex]
is this graph a function?
Answer:
yessss my dear
I hope to help you
HOW HELP ME PLEDSSSSEEEEEEEEEE
9514 1404 393
Answer:
(6, -3)
Step-by-step explanation:
The midpoint of a segment is the average of the end point coordinates.
F = (C + L)/2
F = ((0, 0) + (12, -6))/2 = (0+12, 0-6)/2 = (6, -3)
The fire station coordinates are (6, -3).
6 is 30% of what number
Answer:
1.8
Step-by-step explanation:
Answer:
6 is 30 percent of 20 STEP 1 6 = 30% × Y
STEP 2 6 =
30
100
× Y
Multiplying both sides by 100 and dividing both sides of the equation by 30 we will arrive at:
STEP 3 Y = 6 ×
100
30
STEP 4 Y = 6 × 100 ÷ 30
STEP 5 Y = 20
Finally, we have found the value of Y which is 20 and that is our answer.
You can easily calculate a similar type of calculation by using any regular calculator, simply enter 6 × 100 ÷ 30 and you will get your answer which is 20
Step-by-step explanation:
one glacier advanced 3.63 cm in 3 days. Another glacier retreated 5.75 cm in 5 days. If each glacier moved the same amount each day, which glacier is moving faster? justify your answer.
Answer:
glacier one is moving faster
Step-by-step explanation:
rate at which Glacier 1 is moving:
3.63 / 3 = 1.21 cm per day
rate at which Glacier 2 is moving:
5.75 / 5 = 1.15 cm per day
find the value of X in the equation below 8x=2.4 (plz be fr)
Answer:
x=0.3
Step-by-step explanation:
divide 8 by both sides to isolate x
8x/8= 2.4/8
2.4/8= 0.3, leaving x by itself, giving us x=0.3
Hope this helps and have a great week!
answer:x = 0.3
Step-by-step explanation:Simplifying
8x = 2.4
Solving
8x = 2.4
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Divide each side by '8'.
x = 0.3
Simplifying
x = 0.3
Please help me
Dionne builds a pattern that is represented by the equation b = 2f + 6, where f is the figure number
of the pattern and b is the number of blocks in each figure. How many blocks are needed to make
the 9th figure in the pattern?
Answer:
24 Blocks
Step-by-step explanation:
Hope this helps
Answer:
24 blocks
Step-by-step explanation:
Hope this helped
How do you Estimate the quotient of 1246 divided by 4
Answer:
See inside.
Step-by-step explanation:
Just think of 1000 divided by 4. Like that. Choose a rounded number close to the number you are trying to estimate, and solve the rounded number.
Help me with this math please
Answer:
Step-by-step explanation:
2
the stick number is a knot invariant that intuitively gives the smallest number of straight "sticks" stuck end to end needed to form a knot. Specifically, given any knot K, the stick number of K, denoted by stick (K), is the smallest number of edges of a polygonal path equivalent to K.
23
Using the distance formula, d = √(x2 - x1)2 + (y2 - y1)2, what is the distance between point (0, 5) and point (3, -1) rounded to the nearest tenth?
6.7 units
2.4 units
5.5 units
11.2 units
Alex has x number of baseball cards Danny has 10 more baseball cards than Alex how many baseball cards does Danny have:write your expression here
Answer:
x+10
Danny has 10 + x baseball cards
Help please 3(x+2)= I don’t know
Answer: 3x+6
Step-by-step explanation: