Answer:
area of right triangle = ab/2
base = 18yards
height = 2 1/3 = 7/3yards
area = (18 * 7/3) /2 = 42 /2 = 21[tex]yards^{2}[/tex]
hope this answer helps you.....
A. using substitution find the value of the remaining unknown in each of the following formulas.
1.t=rs (s + 1) if r=4 and s=5
2.k=6-5q/2g if q=3 and g=8
3.p=a+b-2c if a=2, b=-1 and c=5
4.l=1/x - 2/y + z if x=4, y=6, and z=2/3
Answer:
Substitution means that we need to replace some of the variables by the given values.
1) t = rs*(s + 1) (if r=4 and s=5)
So we just need to replace r by 4 and s by 5 in the equation.
t = 4*5*(5 + 1) = 20*6 = 120
t = 120
2) k = 6 - 5q/2g (if q=3 and g=8)
We need to replace q by 3, and g by 8.
k = 6 - (5*3)/(2*8) = 6 - 15/16 = 5.167
k = 5.167
3) p = a + b - 2c (if a = 2, b = -1, c = 5)
Replacing the variables we get:
p = 2 + (-1) - 2*(5)
p = 2 - 1 - 10 = -9
p = -9
4) I = 1/x - 2/y + z (if x = 4, y = 6, and z = 2/3)
Replacing the variables we get:
I = 1/(4) - 2/(6) + (2/3)
I = 1/4 - 2/6 + 2/3 = 1/4 - 1/3 + 2/3
I = 1/4 + 1/3 = 3/12 + 4/12 = 7/12
I = 7/12 = 0.583
7r + 6s - t for r = -5, s = 2, and t = 4
A -19
B -27
C -43
D -51
Answer:
B. -27
Step-by-step explanation:
7*-5= -35 6*2 = 12 . t= 4
-35 + 12 = -23
-23 - 4 = -27
Answer: B. -27
Step-by-step explanation:
7(-5) + 6(2) - 4
-35 + 12 - 4
-23 - 4
= -27
24 ÷ v x k when v=2 and k=4
Answer:
48
Step-by-step explanation:
24 ÷ v x k
24 ÷ 2 x 4
(Since it's multiplication and division, you just go from left to right in order)
12 x 4
48
Let the universal set U = {q, r, s, t, u, v, w, x,
y, z}; with
subsets A = (q, s, u, w, y); B = {q, s, y, z}; and C={v, w, x, y, z).
List the members of the indicated set, using set braces.
AUB
A teacher has an annual income of $55,125.
The income tax the teacher has to pay is
6%. What is the amount of income tax in
dollars and cents that the teacher has to
pay?
FOR BRAINLIST!!
Answer:
A - 3307,50
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Find the probability of exactly two
successes in five trials of a binomial
experiment in which the probability of
success is 50%.
Round to the nearest tenth of a
percent.
Answer:
Step-by-step explanation: 0.5
i need help please help!!!!!!!!!!!! i will give extra points
Answer:
90 cubic units
Step-by-step explanation:
6x3x5=90
100 Points for this
This series of transformations is performed on a quadrilateral:
a dilation by a factor of 4 with the origin as the center of dilation
a reflection across the y-axis
a 90° counterclockwise rotation about the origin
a translation 3 units down
Arrange the functions representing these transformations in the order in which the transformations occur.
(The tiles are)
f(x, y) = (-4x, 4y)
g(x, y) = (4x, -4y)
h(x, y) = (4x, 4y)
i(x, y) = (4y, 4x − 3)
j(x, y) = (4y, 4x)
k(x, y) = (-4y, -4x)
l(x, y) = (-4y, -4x − 3)
Answer:
l(x,y) = (-4y, -4x - 3)Step-by-step explanation:
Let's start with function (x, y)
Transformations in the given order result in following
A dilation by a factor of 4 with the origin as the center of dilation
This results in both coordinates multiplied by 4(x, y) → (4x, 4y)A reflection across the y-axis
This results in x-coordinate changing sign to opposite(4x, 4y) → (-4x, 4y)A 90° counterclockwise rotation about the origin
This results in x-coordinate swapping with negative y-coordinate (-4x, 4y) → (-4y, -4x)A translation 3 units down
This results in y-coordinate change by -3(-4y, -4x) → (-4y, 4x - 3)The final function is:
l(x) = (-4y, -4x - 3)Answer:
l(x) = (-4y, -4x - 3)
I got the same answer as Mhanifa and if you want the explanation check his, because mine sucks :(
What is the equation SA=B+1/2Pl used for
Answer:
To find the surface area of a pyramid
Step-by-step explanation:
The equation is used to find the surface area of a pyramid.
14. Solve 2/3 + 5/6 and put answer in simplest form.
A. 9/6
B.1 1/2
C 2/3
D. 7/6
Answer:
I believe it is C
Step-by-step explanation:
the answer is supposed to be 3/2 but i dont know
You have a ten sided die. the die is rolled find the probability of the following:-
A-) P(5or odd number)
B-) P(odd or prime number)
A:1,3,5,7,9
b:2,3,5,7,
What is the answer to the problem
Answer:
7
Step-by-step explanation:
The sum of the measures of the angles inside a triangle is 180°. Therefore, we can create the equation (6x+5)+60+73=180.
Then we simplify:
1. combine like terms. (6x+5)+60+73=6x+5+60+73=6x+138
2. 6x+138=180, -138 to both sides of the equation. the equation becomes 6x=42.
3. /6 to both sides of the equation. we can reach the conclusion that x=7
A woman borrows $ 6,000 at 12% compounded monthly, which is to be amortized over 3 years in equal monthly payments. For tax purposes, she needs to know the amount of interest paid during each year of the loan. Find the interest paid during the first year, the second year, and the third year of the loan. [Hint: Find the unpaid balance after 12 payments and after 24 payments.]
Answer:
nsdjdhbdeihddjjdoeuriehdisueueeuhd
Find the area of the polygon.
Find the zeros of ƒ(x) = (x + 2)(x – 1)(x – 3)(x + 1).
Answer:
X=-2 x=1 x=3 and x=-1
Step-by-step explanation:
When the problem asks you to find the zeros all they are asking for is the solution so to solve all you need to do is set each individual piece equal to zero.
The dot plot represents the number of apples picked by a family. Explain how the outlier of the data affects the statistical summary of the data.
Select the answers from the drop-down menus to complete the statements.
The mean apples picked
Choose...
because of the outlier.
The median apples picked
Choose...
because of the outlier.
The range
Choose...
because of the outlier.
Answer:
The dot plot represents the number of apples picked by a family. Explain how the outlier of the data affects the statistical summary of the data.
Select the answers from the drop-down menus to complete the statements.
The mean apples picked decreases because of the outlier.
The median apples picked decreases because of the outlier.
The range increases because of the outlier.
Step-by-step explanation:
The mean apples picked decreases because of the outlier.
The median apples picked decreases because of the outlier.
The range increases because of the outlier.
What is Dot plot?A dot plot, also called a dot chart, is a sort of simple histogram-like chart used in statistics for very small data sets where values fit into a number of discrete bins. To create a dot plot, count the number of data points in each bin and draw a stack of dots with that number of dots on top for each bin.
The number of apples gathered by a household is represented by the dot plot. Describe how the data outlier influences the statistical summary of the data.
To finish the statements, choose the appropriate answers from the drop-down menus.
Because of the outlier, the average number of apples picked lowers.
Because of the outlier, the median number of apples chosen falls.
Because of the outlier, the range expands.
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Solve x2 - 8x - 9 = 0.
Rewrite the equation so that it is of the form
x2 + bx = c.
Answer:
x2-8x=9
Step-by-step explanation:
you move the negative nine to the other side of the equals to become positive
Rewrite 7^-2 using a positive exponent an evaluate the result.
x^2 +10x+21 factor this
Answer:
(x+3)(x+7)
Step-by-step explanation:
3 and 7 are factors of 21, and they add up to 10.
Solve for the value of r.
Answer:
14
Step-by-step explanation:
The two given angles are opposite angles and opposite angles always have the same measure. Knowing this, we can construct the following equation:
7r+6=8r-8
Subtract both sides by 6
7r+6-6=8r-8-6
7r=8r-14
Subtract both sides by 8r
7r-8r=8r-14-8r
-r=-14
Divide both sides by -1
r=14
I hope this helps!
PLZZZ HELP!!! ASAP
Will mark brainiest :)))
Answer:
Step-by-step explanation: i wont tell you the answer but ill thell you how to do it,soo the strat is to count where the line is as a different part then u just add em
this is only the explanation how to do it with you want the answer ask in the comment section
Step-by-step explanation:
Answer:
4. 1230
Step-by-step explanation:
A rectangle has parallel sides, so we know two sides are 30. 30+30=60. We subtract 142-60=82. Then we divide by two: 82/2=41. Then you know that both sides are 41 and 30. Multiply, and you get 1230.
Which triangles must be congruent? Abc, fde, and gih.
Answer:
A. ΔABC, ΔFDE and ΔGIH
Step-by-step explanation:
From the given descriptions for the three triangles, it can be inferred that;
DE ≈ HI ≈ BC
AB ≈ FD ≈ GI
m<B = m<D = m<I
So that by Side-Angle-Side (SAS) relations among the triangles, the three triangles are congruent.
This implies that: ΔABC ≅ ΔFDE ≅ ΔGIH
The appropriate answer to the given question is A.
HELP ASAP!!! A padlock has a rotary dial of numbers from 0 to 59. The combination is a series of three numbers, each between 0 and 59. If you were to guess random numbers, what is the probability of guessing the combination correctly?
Answer
1/216000
Step-by-step explanation:
1/60 x 1/60 x 1/60
I hope this helps
The probability of guessing the combination correctly is extremely low, approximately 0.00046%.
What is probability?Probability is represented as the likelihood of an occurrence being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
There are 60 possible numbers on the rotary dial of the padlock, from 0 to 59. To calculate the total number of possible combinations, we can use the multiplication principle of counting.
Since the combination has three numbers, each of which may be any of the dial's 60 possible digit numbers, the total number of possible combinations is:
60 x 60 x 60 = 216,000
As a result, the padlock has 216,000 probable combinations.
If you were to predict random numbers, your chances of getting the proper combination are as follows:
1 / 216,000
This is due to the fact that there is only one accurate combination among the total of 216,000 conceivable combinations.
The likelihood of successfully guessing the combination is extremely low, around 0.00046%, implying that a human cannot open the padlock by randomly guessing the combination.
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Jean puts 12 books on a shelf in random order. Three are by the same author. What is the probability that those 3 books will be next to each other?
it's one of these...
4.55%
8.33%
Answer:
4.55
Step-by-step explanation:
AEight different books were put on a shelf in random order. Calculate probability that two specific books were put near each other.
My answer: Let's divide the space on the shelf into eight slots. Let's also name our two books, "A" and "B" respectively. We have two sets of combinations - in the first set of combinations we have AB (i.e. A goes first). For example, A is put into the first slot and B is put into the second slot. Next example, A is put into the second slot and B is put into the third slot. And so on. There are 7 such AB combinations in total. By the same logic there are also 7 BA combinations. Obviously there is no overlap between said combinations, thus we can sum them up and get 14 combinations in total where books A and B are put side by side.
As for number of total combinations of books on the bookshelf, it's equal to "n!", where n is equal to 8. Why? Because in order to calculate combinations when repetitions are forbidden and order is important we use this formula:
What percent of the rectangle above is
shaded?
7. Mrs. Paulson is constructing a 90% confidence interval for the difference of means based on independent
simple random samples from two populations. The sample sizes are n, = 6 and n, =14. She draws dotplots
of the sample data to check one of the conditions for using two-sample i procedures. Which of the following
descriptions of those dotplots would suggest that it is safe to perform inference?
(a) Both dotplots are roughly symmetric. There are no outliers in either dotplot.
(b) Both dotplots are roughly symmetric. The dotplot of sample 2 has an outlier.
(c) Both dotplots are strongly skewed to the right. There are no outliers in either dotplot.
(d) Both dotplots are roughly symmetric. Both dotplots have one upper outlier
(e) i procedures are not recommended in any of these cases.
The description that will show that it is safe to perform inference is that (a) Both dotplots are roughly symmetric. There are no outliers in either dotplot.
What description would make it possible to make inferences?In order to use the two-sample t procedure to make inferences, certain conditions need to be met such as the sample being random and independent.
The variances for the groups in the data need to be equal which is why the presence of no outliers in either dotplot would present an safe opportunity to be able to perform inferences on the data.
In conclusion, option A is correct.
Find out more on two-sample t-tests at https://brainly.com/question/17438355.
Draw a plane intersecting a cube to get the cross section indicated. rectangle
OA
OB
OC
OD
Will give brainliest
Answer:
Perpendicular
Step-by-step explanation:
Answer:
Perpendicular
Step-by-step explanation:
They form a 90 degree angle.
Find the value of x.
B
10-X
3
D
E
х
2.
A
c
x = [?]
Answer:
The answer would be 4
Step-by-step explanation:
2/3=x/10-x
(cross multiply)
2(10-x)=3x
20-2x=3x
20=5x
(divide by 5)
x=4 (That would be the answer You welcome.)
Fill in the blank 4
For the given triangle the value of x = 4.
In the given figure,
The triangles, ABC and DBE are similar
Since we know that,
Triangles that are similar to one another in shape but differ in size are known as similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent.
Therefore, we have the proportionality,
EC/BE = AD/DB
⇒ 2/3=x/10-x
After cross multiplying
⇒ 2(10-x)=3x
⇒ 20-2x=3x
⇒ 20=5x
Divide both sides by 5, and we get,
⇒ x = 4
Hence,
The value of x = 4.
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The family is hiking in the mountains at a rate of 6 miles every 3 hours
How long would it take the family to hike 7.5 miles?
(Hint: You will have a decimal or fraction in your final answer!)
Answer:
Time = 3 hours & 45 minutesStep-by-step explanation:
Distance = 6 miles
Time = 3 hours
Speed = Distance ÷ Time
Speed = 6 ÷ 3
Speed = 2 miles/hour
....................................................
Speed = 2 miles/hour
Distance = 7.5 miles
Time = Distance ÷ Speed
Time = 7.5 ÷ 2
Time = 3.75 hours
3.75 hours = 3 hours & 45 minutes
Answer:
Step-by-step explanation:
Time taken to travel 6 miles = 3 hours
Time taken to travel 1 mile = 3 ÷ 6 = [tex]\frac{3}{6}=\frac{1}{2} hour[/tex] = 30 minutes
Time taken to travel 7.5 miles = 30 * 7.5 = 225 minutes = 3.45 hours