Answers
Answer:
b = 18 in.
Step-by-step explanation:
Since the triangle given is a right triangle, we can use Pythagorean Theorem to solve for b.
[tex]a^2+b^2=c^2\\7.5^2+b^2=19.5^2\\56.25+b^2=380.25\\b^2=324\\\sqrt{b^2}=\sqrt{324}\\b=18[/tex]
Therefore, b is 18 inches.
Related Questions
triangle ABC has angle measures as shown.
A) what is the value of x? show your work.
B) what is the measure of angle C? show your work.
Answers
Answer:
12°
Step-by-step explanation:
Sum of interior angles of the triangle is 180°:
m∠A + m∠B + m∠C = 180°
3x + 28° + 5x + 52° + 2x - 10° = 180°
10x + 70° = 180°
10x = 110°
x = 11°
Find the measure of angle C:
m∠C = 2x - 10° = 2(11°) - 10° = 22° - 10° = 12°
Answer:
Step-by-step explanation:
(2x - 10)° + (5x + 52)° + (3x + 28)° = 180°
10x + 70 = 180
x = 11
m∠C = [ 2(11) - 10 ]° = 12°
The missing number in the arithmetic sequence: 20,
36, 44 is:
None of these choices are correct
26
27
28
29
Answers
Answer:
28
Step-by-step explanation:
it is missing where ?
based on the answer options I guess it is missing between 20 and 36.
if that is true, then the answer is 28.
the difference between 36 and 44 is 8.
the difference between 20 and 36 is 16.
the right answer should cut the interval of 16 into 2 parts (first logical approach to cut it in 2 halves of 8) and be related to the next interval between 36 and 44 (8).
the solution covering both considerations is the middle of the large interval = 20 + 8 = 28.
Jessica earned $16 mowing a neighbor’s yard. She bought a craft kit for $7.37.
She used $3.75 to buy food for a food drive. She put the rest in her savings account.
How much money did Jessica put in her savings account?
Answers
Answer:
Jessica put $4.88 into her savings account.
Step-by-step explanation:
First, you'll add up how kuch she has spent.
7.37 + 3.75 = 11.12
Secondly, you'll subtract 11.12 from 16.
16 - 11.12 = 4.88
Find the angle of depression
from point A to point C.
?
66°
5 mi
B
Angle of depression = [ ? ]
Answers
Given:
In triangle ABC, [tex]m\angle A=66^\circ, AB=5\text{ mi}[/tex].
To find:
The angle of depression from point A to point C.
Solution:
According to angle sum property, the sum of all interior angles of a triangle is 180 degrees.
In triangle ABC,
[tex]m\angle A+m\angle B+m\angle C=180^\circ[/tex]
[tex]66^\circ+90^\circ+m\angle C=180^\circ[/tex]
[tex]156^\circ+m\angle C=180^\circ[/tex]
[tex]m\angle C=180^\circ-156^\circ[/tex]
[tex]m\angle C=24^\circ[/tex]
We know that if a transversal line intersect the two parallel lines, then alternate interior angles are equal. So, the angle of depression from point A to point C is equal to the measure of angle C in triangle ABC.
Therefore, the angle of depression is 24 degrees.
PLEASE ANSWER FAST
A-1 Equipment Rental Company charges $195 per day to rent a backhoe. The rental cost at A-1 can be represented by the function a(x) 195x, where x is the number of days the backhoe is rented. A competitor charges $150 per day plus an extra $90 fee. The cost at the competitor can be represented by the function c(x) 150x 90, where x is the number of days the backhoe is rented. Describe the transformation from the graph of a to the graph of c.
a. vertical shrink by 10/13 and then a vertical translation 90 units down
b. vertical stretch by 10/13and then a vertical translation 90 units up
c. horizontal stretch by 13/10and then a vertical translation 90 units up
d. vertical shrink by 10/13and then a vertical translation 90 units up
Answers
Answer:
cccccccccccccccccccc
Suppose that there is a positive correlation between the variables k and I. If I
is 75 when k is 7, which of these is most likely to be the value of I when k is
14.
O A. 75
O B. 25
C. 50
D. 150
Answers
Answer:
150
Step-by-step explanation:
if there is a positive correlation
when k increases l should also increase
only 150 is an increase in l
In November, the rain in a certain valley tends to fall in storms of several days duration. The unconditional probability of rain on any day of the month is 0.600. But the probability of rain on a day that follows a rainy day is 0.900, and the probability of rain on a day following a nonrainy day is 0.300. Find the probability of rain on November 1 and 2. but not on November 3. Find the probability of rain on November 1 and 2, but not on November 3.
Answers
Answer:
0.0594 = 5.94% probability of rain on November 1 and 2, but not on November 3.
Step-by-step explanation:
Rain on November 1:
0.9 of 0.6(rain on Oct 31).
0.3 of 0.4(not rain on Oct 31).
Rain on November 2:
Considering rain on November 1, 0.9 probability of rain.
Rain on November 3:
Considering rain on November 2, 0.1 probability of rain.
Find the probability of rain on November 1 and 2, but not on November 3.
Multiplicating the probabilities:
[tex]p = (0.9*0.6+0.3*0.4)*0.9*0.1 = 0.0594[/tex]
0.0594 = 5.94% probability of rain on November 1 and 2, but not on November 3.
cho p(A)=0,5 ; p(B) = 0,3 ;p(A∩B)=0,2. Tính p(B∪A) ?
Answers
Answer:
.6
Step-by-step explanation:
BUA= A+B-A∩B
.5+.3-.2= .6
Is -5/250 a rational number
Answers
Answer:
Hello There!!
Step-by-step explanation:
The answer is that=>Yes It is a rational number.
hope this helps,have a great day!!
~Pinky~
Answer:
Yes.
Step-by-step explanation:
A rational number is any number that can be written as a fraction. These include whole numbers, fractions, decimals that end, and decimals that repeat. Positive and negative do not affect rationality.
Given circle R , arc BA = 35 and arc DE= 43 what is angle BCA equal to?
Answers
Below are two parallel lines with a third line intersecting them
Answers
Answer:
hey, there is no attached photo. so I don't know how to help
Beezlebum's Toy Store can't keep their stackable block set in stock! The blocks completely fill a box shaped like a rectangular prism that is 14 inches long, 14 inches wide, and 21 inches tall. The cube-shaped blocks in the set are 3.5 inches along each edge.
How many blocks are in the set?
Write your answer as a whole number or decimal. Do not round.
Answers
9514 1404 393
Answer:
96
Step-by-step explanation:
In terms of blocks, the box dimensions are ...
(14 in)/(3.5 in/block) = 4 blocks
(21 in)/(3.5 in/block) = 6 blocks
Then the volume in terms of blocks is ...
V = LWH
V = (4)(4)(6) = 96 . . . . blocks
There are 96 blocks in the set.
Marking brainliest(for correct answers)
Factor completley:
9(x-1)-(x-1)^2
Answers
hope this helps
Determine the value of x
Answers
Answer:
B is the answer.
Step-by-step explanation:
What is the answer?
Answers
Which multiplication problem is represented by the model?
Divide. Write your answer in simplest form.
1/5 ÷ 4
Answers
Janet hiked 3/8 mile in 1/4 hour. How fast did she hike, in miles per hour
Answers
Answer: answer is A
A:3/32
B:2/3
C: 1 1/2
D:4
PLEASE HELP GEOMETRY!!!!
Solve for x in the diagram shown.
A) 3.2
B) 6.6
C) 8
D) 20
Answers
9514 1404 393
Answer:
A) 3.2
Step-by-step explanation:
In this geometry, all of the right triangles are similar. This means side lengths are proportional:
short side/hypotenuse = x/8 = 8/20
x = 8×8/20 = 64/20
x = 3.2
Solve x^2 -6x=-5 by completing the square. Show all work for the steps below. (a) For x^2 -6x+c+-5+c, what value of c is used to complete the square? (b) Substitute the value for c in Part 2(a). Then complete the square to rewrite the equation as the square of a binomial. (c) Solve for x
Answers
To complete the square we are going to rewrite the equation to a quadratic equation in the form:
ax² + bx + c
To do this we are going to transpose.
x² - 6x = -5
x² - 6x + 5 = 0
Now we are going to rewrite the new equation in the form
a(x + h)² + k
Where a = 1
h = 6x
k = 5
1(x² - 6x) + 5 = 0
1(x² - 6x/2 + 3²) + 5 = 0, to find h, divide it by 2 then square the quotient and add it to the equation.
1(x² - 3x + 9) + 5 - 9 = 0, to find k, subtract the square rooted quotient after multiplying it by a.
1(x - 3)²- 4 = 0
Now we solve.
1(x - 3)² - 4 = 0
1(x - 3)² = 4
±√1(x - 3)² = ±√4
(x - 3) = √4 or (x - 3) = -√4
x = 5 or x = 1
Five cards are drawn randomly from a standard deck of 52 cards.
Determine the probability that exactly 3 of these cards are Aces. Write your answer in decimal form, rounded to 5 decimal
places
Answer:
Answers
=========================================================
Explanation:
There are 4 ways to select 3 aces where order doesn't matter. It's basically the same as saying there are 4 ways to leave out one ace.
Then we have 2 slots left to fill. There are (48*47)/2 = 1128 ways to do this where order doesn't matter. The 48 is from the fact there are 52-4 = 48 cards that aren't aces. We step down to 47 after picking the first non-ace card. The 2 in the denominator is to correct for double counting.
We found there were 4 ways to pick the three aces, and 1128 ways to pick the other two non-ace cards. Overall, there are 4*1128 = 4512 ways to pick all five cards where we have exactly 3 aces.
This is out of 52C5 = 2,598,960 ways to select any five cards from a 52 card deck. I'm using the nCr formula which is
[tex]_n C _r = \frac{n!}{r!*(n-r)!}[/tex]
Use n = 52 and r = 5 to get the value mentioned. The exclamation marks indicate factorial.
------------------------------------
To recap, there are
4512 ways to pick exactly three aces2,598,960 ways to pick five cards without any restrictionsDividing the two values gets us the final answer
4512/(2,598,960) = 0.001736079047
This value rounds to 0.00174
The probability that exactly 3 of these cards are Aces is 0.004%.
Given that five cards are drawn randomly from a standard deck of 52 cards, to determine the probability that exactly 3 of these cards are Aces the following calculation must be performed:
Each particular probability must be multiplied by each other, and its result by one hundred, to obtain the probability percentage. (3/52 x 2/51 x 1/50) x 100 = X 0.004 = X
Therefore, the probability that exactly 3 of these cards are Aces is 0.004%.
Learn more in https://brainly.com/question/821892
Find the surface area of the regular pyramid.
Answers
Answer:
D
Step-by-step explanation:
It helps to break the pyramid into shapes
triangles: ((b x h) ÷ 2) x 5
((4 x 8) ÷ 2) x 5= 80in
base: 27.5in
total sa: 27.5 + 80 = 107.5in
Solve the problem 35×2/7=
Answers
35 × 2/7 =
2 × 35 / 7 =
2 × 5 × 7 / 7 =
Simplify 7
2 × 5 =
10
Which expression could be used to find the volume of the prism shown below? A rectangular prism with length of 11, height of 5, and width of 8. (11 times 8) times 5 (11 + 8) times 5 (11 times 8) + 5 (11 + 5) times 8 Mark this and retu
Answers
Answer:
(11 x 8) x 5
Step-by-step explanation:
We find volumes of rectangular prims by multiplying the length by the width to get the area of a said prism, and multiplying the area by the height in order to get the volume.
Answer:
A
Step-by-step explanation:
What is the distance of -55 from zero?
Answers
Answer:
55
Step-by-step explanation:
The answer is 55 as distance is a scalar quantity that means quantities that depend on magnitude and not on direction. Therefore we cannot write - 55 as answer.
Sketch the area under the standard normal curve over the indicated interval and find the specified area.
a. The area to the right of z = 0
b. The area to the left of z = 0
c. The area to the left of z = −1.35
d.The area to the left of z = −0.48
Answers
Answer:
a) The area of the right of z=0 is P(z >0) =0.5.
b) The area of the left of z=0 is P(z < 0) =0.5.
c) The area of the left of z=-1.35 is P(z <- 1.35) =0.0885.
d) The area of the left of z=-0.48 is P(z <-0.48) =0.3156.
Step-by-step explanation:
Here are the graphs respectively.
If the dimensions of a room is 20m long, 8m wide
and 5m high. Find the volume of air contained on room.
Answers
Answer:
The volume of air contained on room is 800m^2
Step-by-step explanation:
20x8x5=800m^2
The table shows the completion times of four Horses in a race.
Horses
Time (Seconds)
Horse-3
1512
Horse-4
15.4
Horse-2
154
Horse-1
15.8
Which list shows the Horses in order by their completion times from fastest to slowest?
A. Horse-1, Horse-3, Horse-2, Horse-4
B.
Horse-4, Horse-3, Horse-2, Horse-1
C. Horse-4, Horse-2, Horse-3, Horse-1
D. Horse-1, Horse-2, Horse-3, Horse-4
Answers
Answer:
I think the answer is option B
Answer:
I think it is (b
Step-by-step explanation:
2x2-1/3x2+7/3x2 plzzzzzzzzzzzz fast
Answers
Answer:
8
Step-by-step explanation:
8 is the correct answer
Answer:
12 2/3
Step-by-step explanation:
Drag each value to the correct location on the equation. Each value can be used more than once, but not all values will be used.
A yacht is traveling 35° west of south at 15 miles/hour in still water. Find the component form of vector r, which represents the yacht's motion.
Answers
Answer:
(xou)2
Step-by-step explanation:
A yacht is traveling 35° west of south at 15 miles/hour in still water. Find the component form of vector r, which represents the yacht's motion.
PLEASE HELP !!! WILL MARK BRAINLIEST TO WHOEVER GETS IT RIGHT !!
Answers
Answer:
0 and 1
Step-by-step explanation:
The solutions are the points of intersection, meaning that the x values must meet at those points. x=0 and x=1 meet at those points of intersection.