Answers
Answer:
1504
Step-by-step explanation:
[tex]SA= 2(wl+hl+hw)\\SA=2(20*16+12*16+12*20)\\SA= 1504[/tex]
Related Questions
Find the equation of a line that passes through the points (1,3) and (2,2).
Leave your answer in the form y=mx+c
Answers
Answer:
y=-x+4
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(2-3)/(2-1)
m=-1/1
m=-1
y-y1=m(x-x1)
y-3=-1(x-1)
y-3=-x+1
y=-x+1+3
y=-x+4
Given: ABCD is a rectangle.
Prove: ΔABC is congruent to ΔCDA ABDC is a rectangle.
ABCD is a parallelogram. AB is congruent to DC and BC is congruent to DA AC is congruent to AC ΔABC is congruent to ΔCDA Given Definition of a rectangle. Opposite sides of a parallelogram are congruent. _____________________ _____________________
A. Symmetric Property of congruent; SAS
B. Reflexive Property of congruent to; SAS
C. Symmetric Property of congruent; SSS
D. Reflexive Property of congruent; SSS
Answers
Answer:
D
3. Reflexive Property of (Congruence) ≅
4. SSS (Side to Side to Side Congruence rule)
Step-by-step explanation:
this is D reflexive property of SSS
3. Any geometric figure compared to itself is congruent to itself so this is why:
4. Since we have a parallelogram, therefore we can say:
Both triangles ABC and CDA satisfy the side to side to side congruence, since their 3 sides are congruent.
So, It's D.
P.S.
Notice that the angle measure information is not included in the data above that's why we cannot say it is SAS congruence.
please help me asap
Answers
Answer:
y = 2, 5, 8, 11, 14
Step-by-step explanation:
For this question, it's simply asking us to solve for y, at given values of x. So everytime we just need to substitute the given value for x and solve for y.
x + y = 8
When x = 6,
6 + y = 8
substract 6 from both sides:
-6 + 6 + y = 8 - 6
y = 2
When x = 3
3 + y = 8
y = 8 - 3
y = 5
When x = 0
0 + y = 8 --> 0 + y = y
y = 8
When x = - 3
- 3 + y = 8
y = 8 + 3
y = 11
When x = - 6
-6 + y = 8
y = 8 + 6
y = 14
I hope this makes sense :)
What is the value of x in this triangle
Answers
180-63-74=43
x=43
Factor the polynomial completely using the X method. X2 11x 24 An x-method chart shows the product a c at the top of x and b at the bottom of x. Above the chart is the expression x squared 11 x 24. The value of ac is. The value of b is. The equivalent factored form of the polynomial is.
Answers
The factored form of the considered polynomial is [tex](x+3)(x+8)[/tex]
How to find the factors of a quadratic expression?If the given quadratic expression is of the form
[tex]ax^2 + bx + c[/tex]
then its factored form is obtained by two numbers alpha( α ) and beta( β) such that:
[tex]b = \alpha + \beta \\ ac =\alpha \times \beta[/tex]
Then writing b in terms of alpha and beta would help us getting common factors out.
For the considered polynomial, we've got the quadratic expression as:
[tex]x^2 + 11x + 24[/tex]
Comparing this with [tex]ax^2 + bx + c[/tex], we get:
a = 1 (since [tex]x^2 = 1\times x^2[/tex] )b = 11c= 24Therefore, we have : ac = c = 24
Two numbers whose multiplication gives 24 and and whose addition gives 11.
24 = [tex]2 \times 2 \times 2 \times 3[/tex]
If we take first three 2s, and 3, then:
[tex]24 = 8 \times 3 = (2 \times 2 \times 2) \times 3\\11 = 8 + 3 = (2 \times 2 \times 2) + 3[/tex]
Thus, we need to write 11 in the middle in terms of 8 and 3:
[tex]x^2 + 11x + 24 = x^2 + 8x + 3x + 24 = x(x+8) + 3(x+8) = (x+3)(x+8)[/tex]
Thus, the factored form of the considered polynomial is [tex](x+3)(x+8)[/tex]
Learn more about factors of a quadratic equations here:
https://brainly.com/question/26675692
Answer:
(1) C. 24
(2) B. 11
(3) C. (x+3)(x+8)
i need help with this please and thank you
Select all the correct answers.
Which of the following shapes contain obtuse angles?
Answers
Answer:
trapezium, pentagon
Step-by-step explanation:
hope it helps you<3What is the surface area of the box, in square feet, that Zoey decorates?
Answers
Answer:
1006 [tex]ft^{2}[/tex]
Step-by-step explanation:
get the area of each individual rectangle (length x width) and add together
In the diagrama below of ABC, D is a point on
BA, E is a point on BC, and DE is drawn
B
D
E
A
С
If BD = 5, DA = 12, and BE = 7, what is the length
of BC so that AC |DE?
1) 23.8
2) 16.8
3) 15.6
4) 8.6
Answers
Answer: 1
Step-by-step explanation:
Angelica uses a coordinate plane to make a map of her neighborhood. The point at
(4,3) represents the location of her house, and the point at (10, 8) to represent the
location of the gas station. She wants to drive to the gas station using the straight
line shown below. Use what you know about right triangles to find out how far she
will drive. Each unit on the graph represents 1 mile.
In this answer, give the length of the straight line shown on the graph, and explain
how you calculated it.
у
10
9
(10,8)
Gas station
8
7
ch
6
5
4
3
2.
Angelica's house
(4,3)
Answers
Answer:
Distance between Gas Station and House = 7.81 miles.
Step-by-step explanation:
The distance between the two locations is 7.81 miles
Distance between two pointsGiven the point at (4,3) represents the location of her house, and the point at (10, 8) represents the location of the gas station.
The distance between the two locations will be determined using the formula
D [tex]=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Substitute the given coordinate into the formula
[tex]D=\sqrt{(-6)^2+(-5)^2}\\D=\sqrt{(4-10)^2+(3-8)^2}\\D=\sqrt{36+25}\\ D=\sqrt{61}\\ D=7.81miles[/tex]
Hence the distance between the two locations is 7.81 miles
learn more on distance formula here: https://brainly.com/question/661229
The graph of linear fiction passes through the point (2,11) and (6,21) write equation for the function
Answers
Answer:
Slope intercept form of a linear equation: y = mx + b
(where m is the slope and b is the y-intercept)
[tex]\mathsf{slope=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]
(where [tex]\mathsf{(x_1,y_1)}[/tex] and [tex]\mathsf{(x_2,y_2)}[/tex] are points on the line)
Given:
[tex]\mathsf{(x_1,y_1)=(2,11)}[/tex][tex]\mathsf{(x_2,y_2)=(6,21)}[/tex][tex]\mathsf{slope=\dfrac{21-11}{6-2}=2.5}[/tex]
[tex]y=mx+b[/tex]
[tex]11=2.5\times 2+b[/tex]
[tex]b=6[/tex]
[tex]y=2.5x+6[/tex]
someone help!! 18 pts + brainlest !!!! ASAP
Answers
Answer:
33.22 square inches
Step-by-step explanation:
Diameter to Radius: [tex]\frac{1}{2}d = r[/tex]
Area of Circle: [tex]\pi r^2[/tex]
We are given the diameter of a pancake as 4.6 inches, so the radius is 2.3 inches. Next, we have to apply the area of circle formula with pi as 3.14 and the radius as 2.3
[tex]3.14 * 2.3^2[/tex] [tex]3.14 * 5.29[/tex] [tex]16.6106[/tex]Next, since there's two pancakes, we double 16.6106.
[tex]16.6106 * 2[/tex] [tex]33.2212[/tex]Lastly, we round to the nearest hundredth.
33.2212 ≈ 33.22 square inchesTherefore, the answer is 33.22 square inches.
what are prime factors
and if you could help what are the prime factors of 42
Thanks
Answers
Answer:
factorize(42) = 2 x 3 x 7
Step-by-step explanation:
Which facts are true for the graph of the function below? Check all that apply.
F(x)=(3/5)^x
A. The domain of F(x) is x > 0.
B. The range of F(x) is y> 0.
C. It is increasing.
O D. It is decreasing.
E. The y-intercept is (0, 1).
F. The x-intercept is (1,0).
Answers
Answer:
B. D. E
Step-by-step explanation:
The range of f(x) is y> 0 and the y-intercept is (0, 1). Therefore, options B, D and E are the correct answers.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The given function is f(x)=(3/5)ˣ.
Find the domain by finding where the function is defined. The range is the set of values that correspond with the domain.
Domain: (−∞,∞),{x|x∈R}
Range: (0,∞),{y|y>0}
To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.
x-intercept(s): None
y-intercept(s): (0,1)
Therefore, options B, D and E are the correct answers.
To learn more about the function visit:
https://brainly.com/question/28303908.
#SPJ7
find the area of the triangle a 52 km b 84 km
Answers
2184km²
Hope it helps!
74.64 rounded to the nearest tenth
how do you round a decimaled number?
Answers
Answer:
[tex]\displaystyle 74,6[/tex]
Step-by-step explanation:
You have a 6 in the tenths position, so the 4 in the hundredths position tells you to STAY at [tex]\displaystyle 74,6.[/tex]
I am joyous to assist you at any time.
How long is the arc intersected by a central angle of startfraction 5 pi over 3 endfraction radians in a circle with a radius of 2 ft? round your answer to the nearest tenth. use 3.14 for pi. 2.6 ft 7.0 ft 10.5 ft 31.4 ft
Answers
The length of the arc will be 10.5 ft. The arc length is the measurement of how long an arc is.
What is an arc?An arc is a smooth curve that links two locations. The arc length is the measurement of how long an arc is.
A graph arc is an ordered pair of neighboring vertices in a graph. An arc, in particular, is any piece of a circle's circumference.
The given data in the problem is;
r is the radius= 2 ft
s is the arc length=?
[tex]\rm \theta[/tex] is the angle in radian= [tex]\frac{5 \pi}{3}[/tex]
The arc of the circle is given by;
[tex]\rm s = r\theta \\\\ \rm s = 2\times\frac{5 \pi}{3} \\\\ \rm s = \frac{10 \pi}{3} \\\\ \rm s = =10.5 \ ft[/tex]
Hence the length of the arc will be 10.5 ft
To learn more about the arc refer to the link;
https://brainly.com/question/16765779
Answer:
10.5 ft
Step-by-step explanation:
The answer above is correct.
An angle measures 98° less than the measure of its supplementary angle. What is the measure of each angle?
Answers
Answer: 41 and 139 degrees
Step-by-step explanation:
-
21) The graph of the function f(x) = x3 - 2x2 + 4x – 8 intersects the x-axis at the point (2,0) as shown.
Which statement is true?
A) The function has 3 different zeros.
B) The function has 1 real zero that occurs 1 time.
C) The function has 1 real zero that occurs 2 times.
D) The function has 1 real zero that occurs 3 times.
Answers
The true statement about the graph of the function f(x) = x3 - 2x2 + 4x – 8 is (B) The function has 1 real zero that occurs 1 time.
How to determine the true statementThe function of f(x) is represented as:
[tex]f(x)=x^3-2x^2+4x-8[/tex]
Differentiate the function f(x)
[tex]f'(x)=3x^2-4x+4[/tex]
Calculate the minimum value using:
[tex]x = -\frac b{2a}[/tex]
So, we have:
[tex]x = -\frac {-4}{2*3}[/tex]
[tex]x = \frac {2}{3}[/tex]
Substitute 2/3 in f'(x)
[tex]f'(2/3)=3*(2/3)^2-4(2/3)+4[/tex]
[tex]f'(2/3)=\frac 83[/tex]
The value of f'(2/3) is greater than 0.
This means that the function f(x) has 1 real zero, and it occurs once at point (2,0)
Hence, the true statement is (b)
Read more about functions at:
https://brainly.com/question/13136492
What value of f makes this equation true: 16=2. 5f?
Answers
Answer:
f=6.4
Step-by-step explanation:
Factor 3x^3 - 15x^2 + 18x.
A. 3x(x - 2)(x - 3)
B. 3(x^2 + 2)(x-3)
C. 3x(x + 2)(x-3)
D. 3(x^2 - 2)(x-3)
Answers
Step-by-step explanation:
3 x^3-15x^2+18x 3(x^3-5x^2+6x)
A dozen of eggs was brought at N2000. If each egg was sold at N60, find the profit or loss
Answers
A dozen = 12
Multiply the prices they were sold for by 12:
12 x 60 = 720
By selling the 12 eggs they made 720
Since they bought it for 2000 they lost money.
2000 - 720 = 1280 loss
What is 8+99 equal to
Answers
Answer:
107
Step-by-step explanation:
Answer:
107.
Step-by-step explanation:
99
+8
------
107
Please mark as brainliest!
An element with mass 330 grams decays by 25. 5% per minute. How much of the element is remaining after 5 minutes, to the nearest 10th of a gram?.
Answers
The amount of mass after 5 minutes is 75.74 grams.
It is given that
The amount initially = 330grams
After every minute mass decays by 25.5%
What is the percentage?The percentage is the value per hundred.
Amount after 1 min = 330-330*25.5/100 = 245.85grams
Amount after 2 min = 245.85-245.85*25.5/100 = 183.16grams
Amount after 3min = 183.16-183.16*25.5/100 = 136.45grams
Amount after 4 min = 136.45-136.45*25.5/100= 101.66grams
Amount after 5 min =101.66-101.66*25.5/100 = 75.74grams
Therefore, the amount of mass after 5 minutes is 75.74 grams.
To get more about percentage visit:
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Answers must be in scientific notation!!!!!!!
(5.1 x 10^-3) + (7.2 x 10^-2)
(8 x 10^6) + (7.3 x 10^4)
Answers
Answer: 1. 0.0771 and 2. 8073000
Step-by-step explanation:
6x − 5 = 5(x − 3) + x
X=???
Answers
Answer:No solution
Step-by-step explanation:
Angelina’s family owns a mini-golf course. When discussing the business with a customer, she explains there is a relationship between the number of visitors and hole-in-one winners. If x is the number of visitors and y is the number of winners, which conclusion is correct?
Answers
Answer: (17,3) is viable
Step-by-step explanation:
makes the most sense
Answer:
the ordered pair (12,3) is viable
Explanation:
These were my answer choices:
a. The ordered pair (–3, 7) is viable.
b. The ordered pair (0, 4) is viable.
c. The ordered pair (7, 0) is non-viable.
d. The ordered pair (12, 3) is viable.
I just took the test and d was correct:)
I have no clue what the answer
Answers
use pythagoras thereom
I need this quickly:)
Answers
Answer: r [tex]\leq[/tex] 5
Step-by-step explanation: If you need it quick then no explanation, but brainliest please?
A circular rug has a radius of 4. 5 feet. What is the circumference of the rug? Use 3. 14 for Pi and round to the hundredths place. 14. 13 28. 26 44. 37 88. 74.
Answers
Answer:
28.26
Step-by-step explanation:
The circumference of a circle is equal to 2πr, where r is the radius. The radius is the distance from the center of the circle to a point on the outside of the circle.
To find the circumference you can plug in the known information and multiply. However, instead of using actual pi, we will use 3.14 because that is what the question says.
2 * 3.14 * 4.5 = 28.26This means that the distance around the rug is 28.26 feet.
In square ABDC, if BC=8, what is x
Answers
the answer is 4 square root of 2