Which of the following is a true statement about the triangles shown on the graph?
The slope of the smaller triangle is smaller than the slope of the larger triangle
The slope of the larger triangle is larger than the slope of the smaller triangle.
The triangles are congruent triangles.
The slopes of the two triangles are the same.
The correct statement about the triangles shown in the graph is given as follows:
The slopes of the two triangles are the same.
How to obtain the slope?Considering a graph, a slope is calculated as the division of the vertical change by the horizontal change.
For the smaller triangle, we have that:
The vertical change is of 2.The horizontal change is of 2.Hence the slope is of:
m = 2/2
m = 1.
For the larger triangle, we have that:
The vertical change is of 3.The horizontal change is of 3.Hence the slope is of:
m = 3/3.
m = 1.
Meaning that they have the same slope.
More can be learned about slope at https://brainly.com/question/24808124
#SPJ1
what goes in to 18 and 6
Answer:
Answer us 3
Step-by-step explanation:
3×2=6 3×6=18
Howard's pawn shop bought an antique clock at the wholesale price of $725. Howard marked up the price of the clock
30%. What was the list price of the clock?
holour
Answer:
942.50
Step-by-step explanation:
725×30% or 0.3 = 217.5
217.5+725=942.5
What is a perfect squares
Answer:
A square number or perfect square is an integer that is the square of an integer; in other words, it is the product of some integer with itself. For example, 9 is a square number, since it can be written as 3 ×3
HOPE IT WILL HELP U!!!!!!
The director of the library believes that 13% of the library's collection is checked out. If the director is right, what is the probability that the proportion of books checked out in a sample of 774 books would be less than 10%
Answer:
The probability that the proportion of books checked out in a sample of 774 books would be less than 10% is 0.0066
Step-by-step explanation:
We are given that The director of the library believes that 13% of the library's collection is checked out.
[tex]\mu = p = 0.13[/tex]
Total no. of books = 774
Standard deviation =[tex]\sqrt{\frac{p(1-p)}{n}}[/tex]
Standard deviation = [tex]\sqrt{\frac{0.13(1-0.13)}{774}}=0.012[/tex]
We are supposed to find the probability that the proportion of books checked out in a sample of 774 books would be less than 10%
[tex]P(\hat{p}<0.1)\\Z=\frac{x-\mu}{\sigma}\\Z=\frac{0.1-0.13}{0.012}\\Z=-2.48\\P(Z<-2.48)=0.0066[/tex]
So,[tex]P(\hat{p}<0.1)=0.0066[/tex]
Hence the probability that the proportion of books checked out in a sample of 774 books would be less than 10% is 0.0066
Here are two nets. Mai said that both nets can be assembled into the same triangular
prism. Do you agree? Explain or show your reasoning.
If 4 adult elephants eat 320 pounds of food, how many ounces of food should the zookeeper purchase?
Answer:
Step-by-step explanation:
A bread company has a total of 12 packages of buns to sell. Each package of buns contains 6 buns and sells for $2.50. The cost of the buns, in dollars, is a function of the number of packages bought.
Which of the following values are NOT in the domain of the function described?
a) -2
b) 0
c) 0.5
d) 6
e) 14
Answer:
a) -2, c) 0.5, e) 14
Step-by-step explanation:
The domain is the x value, which is the number of packages sold in this case.
a) -2: You can't sell a negative number of packages
c) 0.5: You can't sell half a package
e) 14: The company only has 12 packages
The figure shows the design of a greenhouse with a rectangular floor. The front and back sides of the greenhouse are semicircles with a diameter of w and the roof is half a cylinder. Consider greenhouse A with floor dimensions w=16 feet and l =18 feet.
A concrete slab 4 inches deep will be poured for the floor of greenhouse A. How many cubic feet of concrete are needed for the floor?
9514 1404 393
Answer:
96 cubic feet
Step-by-step explanation:
A volume that is 16 ft by 18 ft by 1/3 ft will be ...
V = LWH
V = (16 ft)(18 ft)(1/3 ft) = 96 ft³
96 cubic feet of concrete are needed.
what is 2,606 + 7,025?
Answer:
2606 + 7025 = 9631
Pls mark me brainliest
Answer: 9631
2606
+7025
9631
Explain how solving -7y > 161 is different from solving 7y > -161.
Answer:
When the coefficient (number before the variable) is negative, you have to switch the inequality symbol after you divide.
Answer:
EDGE 2020
Step-by-step explanation:
Sample response: Both inequalities use the division property to isolate the variable, y. When you divide by a negative number, like –7, you must reverse the direction of the inequality sign. When you divide by a positive number, like 7, the inequality sign stays the same. The solution to the first inequality is y > -23, and the solution to the second inequality is y <>
secx- cosx = sinx tanx
Answer:
See Explanation
Step-by-step explanation:
[tex] \sec \: x - cos \: x = \sin \: x \tan \: x \\ \\ LHS = \sec \: x - cos \: x \\ \\ = \frac{1}{ \cos x} - cos \: x \\ \\ = \frac{1 - { \cos x}^{2} }{ \cos x} \\ \\ = \frac{ { \sin x}^{2} }{ \cos x} \\ \\ = \frac{ \sin \: x \times \sin x}{ \cos x} \\ \\ = \sin x \: tan x \\ \\ = RHS \\ \\ thus \: proved \\ [/tex]
What is the value of sin-1(1)?
The value of sin^(-1) 1 is; π/2
We want to find the value of sin^(-1) 1Now, when using trigonometric functions, we know that; If sin θ = x Then; θ = sin^(-1) xNow, we want to find the angle.We know that in radians the value of θ at which sin θ = 1 is; π/2 radians
Thus; sin^(-1) 1 = π/2
Read more about trigonometric angles at; https://brainly.com/question/22591162
7. Given a right triangle as shown below, use a calculator to estimate the length of the
missing side to the nearest tenth of a centimeter
Answer:
D. 11.6 cm
Step-by-step explanation:
The missing length of the right angled triangle can be calculated using Pythagorean Theorem as shown below:
[tex] c^2 - b^2 = a^2 [/tex]
Where,
a = x cm
b = 11 cm
c = 16 cm
Thus:
[tex] 16^2 - 11^2 = x^2 [/tex]
[tex] 256 - 121 = x^2 [/tex]
[tex] 135 = x^2 [/tex]
[tex] \sqrt{135} = \sqrt{x^2} [/tex]
[tex] \sqrt{135} = x [/tex]
[tex] 11.61895 = x [/tex]
[tex] x = 11.6 cm [/tex] (nearest tenth)
Answer:
Step-by-step explanation:
11.16
In which number is the digit 7 ten times larger than it is in the number 175?
A) 379
B) 607
C) 730
D) 7,513
Answer:
c 730
Step-by-step explanation:
because the 7 in 730 is one digit to the left
Answer:
C. 730
Step-by-step explanation:
The 7 in the original number is in the tens place. So if you multiply that by 10, the seven moves into the hundreds place.
Tommy Flanagan was telling you what he ate yesterday afternoon. He tells you, "I had either popcorn or raisins. Also, if I had cucumber sandwiches, then I had soda. But I didn’t drink soda or tea." Of course you know that Tommy is the worlds worst liar, and everything he says is false. What did Tommy eat? Justify your answer by writing all of Tommy’s statements using sentence variables (P, Q, R, S, T), taking their negations, and using these to deduce what Tommy actually ate.
Answer:
tom ate sandwiches of cucumber and also had tea
Step-by-step explanation:
The computation is shown below:
P:I = popcorn
Q:I = raisins
R:I = cucumber sandwiches
S:I = sodas
T:I = tea
1. It could be either popcorn or raisins
2. If i take sandwiches of cucumber so it also had soda
3. Do not drink soda or tea
Now considered the negation of 1, 2 and 3
So,
[tex]\sim (PVQ) = \sim P \wedge \sim Q\\\\\sim (R \to S) = \sim(\sim R\vee S) = R \wedge \sim S\\\\ \sim(\sim S \vee \sim T) = S \wedge T[/tex]
Now combining 4, 5 and 6
We get
[tex]\sim P \wedge \sim Q \wedge R \wedge \sim S \wedge S \wedge T\\\\\sim P \wedge \sim Q \wedge R \wedge T[/tex]
So, tom ate sandwiches of cucumber and also had tea
Toni is shopping for clothes at the store she buys 8 shirts for $8.00 what is the unit rate for the shirts?
Answer:
$1.00
Step-by-step explanation:
The unit rate in this scenario would be $1.00 , meaning that Toni is paying $1.00 for every shirt. This can be calculated by dividing the total price that she is paying for the shirts by the total number of shirts that Toni is purchasing like so...
$8.00 / 8 = $1.00 per shirt
The unit rate is basically the value over the denominator of 1 which would be the case as seen above since $1 buys 1 shirt ([tex]\frac{1 dollar}{1 shirt}[/tex]) as opposed to $8 dollars 8 shirts ([tex]\frac{8 dollars}{8 shirts}[/tex]) as mentioned in the question.
Playing golf, Mike got a + 2on the first hole and - 2 on the second hole. What is his combined score for the first two holes?
Answer:
0
Step-by-step explanation:
he had a score of 2 on the first hole and then he go a birdie i think and it subtracted 2 from that leaving 0
Find the value of x so that the function has given value
M(x)=4x+15; m(x)=7
Evaluate the following expression,
5x [7+ (10-2) + 4)
Answer: 95x
Step-by-step explanation: Remove parentheses. 5x(7+10-2+4)
Add 7 and 10.
5x(17-2+4)
Add 15 and 4.
5x multiped by 19
Multiply 19 by 5
95x
Web crawlers need to estimate the frequency of changes to Web sites to maintain a current index for Web searches. Assume that the changes to a Web site follow a Poisson process with a mean of 6 days. Let a random variable X denote the time (in days) until the next change. What is the probability that the time until the next change is greater than 9.5 days
Answer:
The probability will be "0.205".
Step-by-step explanation:
The probability that perhaps the time remains greater than 9.5 days before the next shift will indeed be:
⇒ [tex]P(X>9.5)[/tex]
⇒ [tex]1-P(X<9.5)[/tex]
⇒ [tex]1-(1-exp(\frac{-9.5}{6} ))[/tex]
⇒ [tex]0.205[/tex]
Consider each expression. if x = -2, is the value of the expression
a positive number? Select Yes or No.
A. -2(x - 2)
Yes
No
B. –3x(5 – 4x)
Yes
No
C. x + 6x
O Yes O No
Answer:
Yes
Yes
No
Step-by-step explanation:
Given value x = -2;
Problem, is the expression a positive number ?
A. -2(x - 2)
if x = -2
-2(-2 - 2)
= -2 (-4)
= 8
Yes
B. -3x(5 - 4x)
if x = -2
-3 x -2(5 - 4(-2))
= 6 (5 + 8)
= 6 x 13
= 78
Yes
C. x + 6x
if x = -2
-2 + 6(-2)
= -2 - 12
= - 14
No
You are buying fruit to make fruit baskets. Apples come in bags of 20. Oranges come in bags of 16, and bananas come in bags of 32. You have one bag of each fruit. Each fruit basket must be identical. What is the greatest number of fruit baskets that you can make using all of the fruit? *
Answer:
4 fruit baskets.
Step-by-step explanation:
Use GCF to find the answer. 20 divided by 4 is 5, 16 divided by 4 is 4, and 32 divided by 4 is 8.
Solve x2 - 4x + 1 = 0.
x= 2 + 2i15
x = 4+ V3
x = 2/3
x= -2-3
Answer:
x = 2 ± √ 3
Step-by-step explanation:
Rachel estimates the weight of her dog to be 50 pounds the actual weight of the dog is 52.5 pounds what is the percent error of Rachel’s estimate
Answer:
It is unidentified.
Step-by-step explanation:
Determine whether the given relations are functions.
Answer:
Yes, this relation is a function.
Step-by-step explanation:
It is a function because every input (left side) only has one output (right side). It doesn't matter if an output has multiple inputs. As long as an input has only one output, it is a function
Ex: 3 = 8 & 7 NOT an input
4 & 3 = 8 AN input
Which rational number equals 0 point 4 with bar over 4?
==============================================
Work Shown:
[tex]x = 0.\overline{4}\\\\x = 0.4444\ldots\\\\10x = 4.4444\ldots\\\\10x-x = 4.4444\ldots-0.4444\ldots\\\\9x = 4\\\\x = \frac{4}{9}\\\\\frac{4}{9} = 0.\overline{4}= 0.4444\ldots\\\\[/tex]
The idea is that when we subtract 10x and x, the infinite decimal pattern (the 4s that go on forever) will cancel. That leads to 9x = 4 which solves to x = 4/9
The snack table had 48 cookies displayed. After the first round of students came by, the number decreased by 25%. How many cookies were left on the table?
Answer:
36 cookies left
Step-by-step explanation:
48×.25=12
48-12=36 cookies
6x(24÷2) equals what?
Answer:
72
Step-by-step explanation:
do 24/2=12x6=72
The sum of three times a number and seven is 22
Answer:
3x+7=22
Step-by-step explanation:
three times a number is
[tex]3\times x=3x[/tex]
so the sum of 3x and 7 is 22
[tex]3x+7=22\\\\3x=15\\\\x=5[/tex]
you can leave it here
[tex]3x+7=22[/tex]
if you need the value of x
then
[tex]x=5[/tex]