[tex]60cm^{2}[/tex]
Step-by-step explanation:
A=pq/2
shorter diagonal= 8cm
longer diagonal = 15cm
15*8 = 120
120/2 = 60
A = [tex]60cm^{2}[/tex]
The diagonal of the rectangle is 10 inches long and the height of the rectangle is 8 inches. What is the perimeter of the rectangle in the inches?
Basic perimeter is really easy to understand;
Step-by-step explanation:
10 x 8 = 80 in.
80 in. is your answer! Please mark brainliest and have a great day! :D
what interest rate do you need for an $5000 investment compounded annually to double in 10 years?
What interest rate do you need to double your money in 10 years?
R = 72/t = 72/10 = 7.2% Example Calculation in Months If you invest a sum of money at 0.5% interest per month, how long will it take you to double your investment? t=72/R = 72/0.5 = 144 months (since R is a monthly rate the answer is in months rather than years)
Therefore, since R is a monthly rate the answer is in months rather than years, the interest rate that you need for an $5000 investment compounded annually to double in 10 years is 7.2%
Suppose that two lines, AB and CD, are intersected by a transversal.
Which of the following reasons alone could be used to show that the lines are parallel?
Answer: A, B
Step-by-step explanation:
A and B are unique to parallel lines, C and D are not.
If k (x) = x^2 and p (x) = k (x) + n, what is the value of n?
The equation k(x) = x^2 is quadratic equation, and the value of n in p (x) = k (x) + n is -6
How to determine the value of n?The equations are given as:
k(x) = x^2
p (x) = k (x) + n
From the graph, we can see that the graph of k(x) is shifted down by 6 units.
This means that the equation of p(x) is
p (x) = k (x) - 6
By comparison;
n = -6
Hence, the value of n in p (x) = k (x) + n is -6
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11y6x+y=4x+11y6 what does y=
Answer:
[tex]y=\frac{x}{5}[/tex]
Step-by-step explanation:
hope this helps
Li has to read four books from a list of 10 books. how many sets of four books can be made?
Answer:
2 sets
Step-by-step explanation:
we have to divide 4 into 10...
so 10 books / 4 groups equals 2 with a remainder of 2. each set needs to have exactly 4 books... so there would be 2 sets.
Answer:
its 7 not 2
Step-by-step explanation:
because
im right
In a company, 85% of the workers are women. If 390 people work for the company who aren't women, how many workers are there in all?
Answer:
2210
Step-by-step explanation:
390 =15%
390*3 = 130=5%
130*17=2210
Find the next two terms of the sequence 10, -11, -32, .
Answer:
B
Step-by-step explanation:
Answer: A
Step-by-step explanation:
Because.....
-11 - 10 = -21
-32 - (-11) = -21
This tells us that the sequence is adding by -21, which is why the next 2 terms will be -53 and - 74 since....
-32 + -21 = -53
-53 + -21 = - 74
Hence, the answer is A.
Which 3 lengths would in fact make a right triangle?
4, 3 , 7
How Can It Be Said That 3 Lengths Would Make A Right Triangle?
To see if your three sides will form a triangle, add the two short sides and compare with the long side. If the two short sides are longer than the long side you have a triangle.
What is a Right Triangle?A right triangle is a triangle with one 90-degree angle.
What additional information do you need to prove the triangles are congruent by SSS
The information do you need to prove the triangles are congruent by SSS Will be YD ≅ OD.
What is the similarity?If two objects are having the same shape then they will be termed as similar. So in mathematics, if two figures have the same shapes, lines or angles then they are called similar.
If two figures have three sides similar then they will be similar by side by side property which is written as SSS.
Now in the given figure, the side YD is similar and equal to the side OD so option C will be the correct answer.
Hence the information do you need to prove the triangles are congruent by SSS Will be YD ≅ OD.
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2. 20+(5 X 2/5 )+ 3 please answer with process not just answer thanks
Answer:
[tex]25 \: or \: {5}^{2} [/tex]
Step-by-step explanation:
Simplify It
[tex]20 + 2 + 3[/tex]
Then calculate it.
[tex]20 + 2 + 3 = 25[/tex]
Answer:
25
Step-by-step explanation:
Given:
20+(5 × 2/5 )+ 3
Solve:
Using the PEMDAS
Which is:
P- Parentheses
E- Exponents
M- Multiplication
D- Division
A- Addition
S- Subtraction
Thus we have:
20+(5 × 2/5 )+ 3 {5 × 2/5 = 2}
= 20 + 2 + 3
= 22 + 3
= 25
Kavinsky
A mean weight of 2.2 pounds is computed for a random sample of 50 catfish from a lake.
What can you infer from this random sample?
A)You infer that the mean weight of all catfish is close to 2.2 pounds.
B)You infer that the mean weight of all catfish is exactly to 2.2 pounds.
C)You infer that the mean weight of catfish in the lake is close to 2.2 pounds.
D)You infer that the mean weight of catfish in the lake is exactly to 2.2 pounds.
Answer:
C)
Step-by-step explanation:
It can't be A or B because the samples from 50 fish definitely wouldn't be equal to ALL the fish ever.
And it (more so) can't be D because you are finding the mean. that means that some catfish could weight 1 pound, and another could weigh 4, they would just cancel out.
That leaves C) with the only plausible answer.
PLEASE HELP ME OUT
8.)
Using special right triangles, what will be the y-coordinate of the point below?
a.)
5√3
b.)
5
√3
30°
10 units
(0,0)
c.)
d.)
Step-by-step explanation:
the answer is b 5 according to the graph
Rectangle QUAD has coordinates Q(0,0), U(0,), A(,), and D(,0). Q'U'A'D' is the image of QUAD after a dilation with center (0,0) and scale factor . What are the coordinates of point D'?
The coordinates of point D' are (36,0).
What is scale factor?The scale factor is a measure for similar figures, who look the same but have different scales or measures.
QUAD has coordinates Q(0,0), U(0,3), A(6,3), and D(6,0).
The scale factor for Q'U'A'D' is 6.
So, the coordinates of Q'U'A'D' after dilation is:
Q'(0,0), U'(0,3*6), A'(6*6,3*6), and D'(6*6,0).
and Q'(0,0), U'(0,18), A'(36,18), and D'(36,0).
Hence, the coordinate of D' is (36,0).
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Find the measure of all sides. Round to the nearest tenth.
Answer:
(15squrt3)/2
Step-by-step explanation:
cos30=x/15
Compare 2 similar cones...
Answer:
3:1.
Step-by-step explanation:
21:7
= 3:1.
Graph the inequality
y≤2
Answer:
straight line on 2 on the y axis
Step-by-step explanation:
Its just a straight line on 2 on the y axis
Help me please help me
Answer:
g= 8/21
Step-by-step explanation:
[tex]g=\frac{5}{7} -\frac{1}{3} \\g=\frac{15}{21} -\frac{7}{21} \\g=\frac{8}{21}[/tex]
Mr. Plati's class has 3 1/2 quarts of paint. They use 2/3 of the paint for the mural.
How many quarts of paint did the class use for the mural?
Answer:
2.32
Step-by-step explanation:
For each graphically defined function below, state the domain, the range, and the intervals on which the function is increasing, decreasing, or constant.
Domain:
Range:
Increasing:
Decreasing:
Constant Intervals?
Answer:
See below ~
Step-by-step explanation:
Domain : range of x -values
Minimum = -2Maximum = 3Domain = [-2, 3]Range : possible y-values
Maximum point is 2Minimum point is -2Range = [-2, 2]Increasing :
[-2, 0]Decreasing :
x = [0, 3]Constant :
NoneMs Hieronymus goes through 1/2 a package of pencils every 1/8 a month for her students How many packages does Ms Hieronymus need for 10 months
Answer:
Every 1/8 month (ie about 4 days) she uses 1/2 a package
So every month she will use 8 x (1/2) = 4 packages
So in 10 months she will use 4 x 10 = 40 packages
Based on the data in the box plots, what is the best evidence to show which diver had greater overall success during the meets so far this season? ani was more successful because she had an outlier. marta was more successful because she received the highest score. ani was more successful because she had the greater measure of center. marta was more successful because she had the greater total spread.
The best evidence to show which diver had greater overall success is Marta was more successful because she had the greater total spread.
What is a box plot?Box Diagram provides a quick visual summary of the variability of values in a dataset. They show the median values, upper and lower quartiles, minimum and maximum values, and any outliers in the dataset.
In this case, the total spread of Ani is from 4.5 to 9.5 and the total spread of Marta is from 4 to 10, we can conclude that Marta was more successful than Ani because of greater total spread.
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Which would indicate the water in a lake is not safe for drinking
Answer:
The water in a lake is not safe for drinking, high turbidity levels in the lake Coliform bacteria occur innately in soil and in the intestines of humans and other organism.
CORRECT ANSWER: high turbidity levels in the lake.
Step-by-step explanation:
Jade jade made 2 quarts of salsa for a party. tania brought twice as march salsa for the party. how many pints of salsa do the girls have in all
Answer:
6 quarts of salsa in all
"Twice" indicates multiplying by 2, so multiply 2 by 2 to get 4.
That's not the end of the problem, though. "In all" indicates that we must add the values together. 2 plus 4 is 6, so your answer is 6.
Please help with this, Thank You.
Answer:
[tex]x = 12[/tex]
Step-by-step explanation:
[tex]3x + 9 = 5x - 15[/tex]
[tex]2x = 24[/tex]
[tex]x = 12[/tex]
How is the graph of y=(x-1)2-3 transformed to produce the graph of y=3(x+4)2?
1
O The graph is translated left 5 units, compressed vertically by a factor of 2, and translated up 3
O The graph is stretched vertically by a factor of 2, translated left 5 units, and translated up 3 un
O The graph is translated left 5 units, compressed horizontally by a factor of 2, and translated d
O The graph is stretched horizontally by a factor of 2, translated left 5 units, and translated dow
a
Answer:
Option 2
Step-by-step explanation:
Let the original graph be f(x) and new graph g(x).
f(x) = (x - 1)² - 3g(x) = 2(x + 4)²The transformations are :
The graph is translated left 5 units.The graph is translated up 3 units.The graph is stretched vertically by a factor of 2.HELP can i get some help here please
The graph of the system of inequalities can be seen at the end of the answer.
How to graph the system of inequalities?
Here we have two inequalities:
x < 2
y ≥ - 3
To graph the first one, we need to shade all the region at the left of the line x = 2, such that the line must be dashed, because the points on the line are not solutions.
For the second inequality, we need to shade all the regions above the line y = -3, this time the line must be solid, because the points on the line are solutions.
Then the graph of the inequalities is the one you can see below. The intersection of the shaded regions is the solution of the system of inequalities.
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How do you add negative numbers with positives
when we add negative number to the positive number we just subtract the smaller number from the larger number and put the sign or the larger number after words
examples:- First
[tex]5 + ( - 2) = 5 - 2 = 3[/tex]
like here we put + in front of 3 as larger number 5 is positive
second[tex] - 7 + 5 = - 2[/tex]
we put negative because 7 is larger then 5 and 7 is negative
A spinner has 4 equally sized sectors that are numbered 3, 3, 4 and 6. The spinner is spun twice and the sum of the outcomes is found.
A fair decision is to be made about which one of 4 vacation destinations will be planned, using the sum of the outcomes.
The vacation destination options are New Mexico, Alaska, Puerto Rico and London.
Which description accurately explains how a fair decision can be made in this situation?
If the sum is 6, the vacation destination will be London. If the sum is 8, the vacation destination will be Alaska. If the sum is 9, the vacation destination will be New Mexico. If the sum is 7, 10 or 12, the vacation destination will be Puerto Rico.
If the sum is 6, the vacation destination will be London. If the sum is 7, the vacation destination will be Alaska. If the sum is 10, the vacation destination will be New Mexico. If the sum is 8, 9 or 12, the vacation destination will be Puerto Rico.
If the sum is 6, the vacation destination will be London. If the sum is 7, the vacation destination will be Alaska. If the sum is 9, the vacation destination will be New Mexico. If the sum is 8, 10 or 12, the vacation destination will be Puerto Rico.
If the sum is 10, the vacation destination will be London. If the sum is 7, the vacation destination will be Alaska. If the sum is 9, the vacation destination will be New Mexico. If the sum is 6, 8 or 12, the vacation destination will be Puerto Rico.
Answer:
If the sum is 6, the vacation destination will be London.
If the sum is 7, the vacation destination will be Alaska.
If the sum is 9, the vacation destination will be New Mexico.
If the sum is 8, 10 or 12, the vacation destination will be Puerto Rico.
Step-by-step explanation:
Create a sample space for the 2 spins (see attached).
From the sample space, the probabilities are:
P(sum is 6) = 4/16P(sum is 7) = 4/16P(sum is 8) = 1/16P(sum is 9) = 4/16P(sum is 10) = 2/16P(sum is 12) = 1/16Therefore, to make a fair decision:
As the sum of 6, 7 and 9 each have equal probabilities (4/16), they should each be attritbuted to one destination.
As the sum of 8, 10 and 12 combined equal the same probability as the sum of 6, 7, and 9 individually, the sum of 8, 10 and 12 should be assigned to one destination combined.
Solution
If the sum is 6, the vacation destination will be London.
If the sum is 7, the vacation destination will be Alaska.
If the sum is 9, the vacation destination will be New Mexico.
If the sum is 8, 10 or 12, the vacation destination will be Puerto Rico.
Find its Surface Area 5 m 7 m 3 m 4 m
Answer:
D. 96 m²
Step-by-step explanation:
The surface area of a triangular prism is the sum of the areas of all of the faces. A triangular prism has two triangular faces (bases) and three rectangular faces.
__
rectangular facesThe dimensions of the rectangular faces are such that they can be considered together as a rectangle whose width is the distance between the triangular faces, and whose length is the perimeter of the triangle. For this prism, that is a 7 m width and a (3+4+5) = 12 m length.
triangular facesThe two triangular faces together have an area that is equal to that of a rectangle with the same base and height as the triangular face. For this prism, that is a 3 m base and a 4 m height.
totalThe total surface area is ...
lateral area + base area = (7 m)(12 m) +(3 m)(4 m) = (84 +12) m²
surface area = 96 m²
_____
Additional comment
The formula for the area of a triangle is ...
A = 1/2bh
A triangular prism has two congruent triangular faces, so their total area is ...
A = 2(1/2bh) = bh
We elected to skip the halving and doubling, and go straight to the total base area.