Step-by-step explanation:
You can't use quadratic formula in this
The question is down below
also I home school and have permission to post this question
Answer:
2448 ft²
Step-by-step explanation:
The surface area of the triangular prism is the sum of the areas of the triangular bases and the lateral area of the rectangular faces.
Base areaThe two right triangle bases together form a rectangle that is 24 ft wide and 18 ft tall. The total base area is ...
A = (24 ft)(18 ft) = 432 ft²
Lateral areaThe rectangular faces of the prism are each 28 ft wide and have a total width of 18 +24 +30 = 72 ft. Their total area is ...
LA = (28 ft)(72 ft) = 2016 ft²
Total surface areaThe sum of the base area and lateral area is ...
total area = (432 ft²) +(2016 ft²) = 2448 ft²
The surface area of the triangular prism is 2448 ft².
__
Additional comment
The area formula for the triangular base is ...
A = 1/2bh . . . . . . area of one triangle with base b and height h
Then the area of the two congruent triangular bases is ...
A = 2(1/2bh) = bh
This is the formula we used above. It skips the work of dividing by 2, then multiplying by 2 again.
Find the perimeter for 93 - 96
Find the surface area and volume for 97-100
93. Perimeter = 34cm
94. Perimeter = 72. 27mm
95. Perimeter = 22in
96. Perimeter = 56m
97. Volume = 512 in³
98. Volume = 72 in³
99. Volume = 154 cm³
100. Volume = 3, 309. 42 mm³
How to determine the perimeter93. Note that the diagram is a trapezium
Perimeter = a + b + c + d
a = 15 , b = 5 , c = 5 , d = 9
Perimeter = 15 + 5 + 5 + 9 = 34cm
94. Note that the diagram is a circle
Perimeter of a circle = 2 πr
Given diameter = 23mm
Radius = diameter/2
Radius = 23/ 2 = 11. 5mm
Perimeter = 2 × 3. 142 × 11. 5 = 72. 27 mm
95. Note that the shape is a rectangle
Perimeter of a rectangle = 2 (length + width)
Length = 5 in
width = 6 in
Perimeter = 2( 5 + 6)
Perimeter = 2 × 11 = 22 in
96. The shape is a rectangle
Perimeter of a rectangle = 2 (length + width)
Length = 10m , width = 19m
Perimeter = 2( 10+ 19) = 2 × 29 = 58m
97. Volume of a cube = side by power of 3
Volume = 8³
Volume = 512 cm³
98. Volume of a Cuboid = length × breadth × height
Volume = 3 × 2 × 12
Volume = 72 in³
99. Volume of a sphere = πr² [tex]\frac{h}{3}[/tex]
radius = 7cm , height = 3cm
Volume = [tex]\frac{22}{7}[/tex] × [tex]7^{2}[/tex] ×[tex]\frac{3}{3}[/tex]
Volume = [tex]22[/tex] × [tex]7[/tex] × [tex]1[/tex]
Volume = 154 cm³
100. Volume of a cone = πr²h
radius = 9mm, height = 13mm
Volume = [tex]\frac{22}{7}[/tex] × [tex]9[/tex] × 9 × 13
Volume = [tex]\frac{23166}{7}[/tex]
Volume = 3, 309. 42 mm³
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Cost of a microscope: $149.95
Markup: 30%
Answer:
194.935
Step-by-step explanation:
149.95×30%=44.985
149.95+44.985=194.935 new price
PLS HELP ASAP
The graph shown below expresses a radical function that can be written in the form f(x)= a(x + k)^1/n +C. What does the graph tell you about the value of k in this function?
Customers can pick their own pumpkins at The Great Pumpkin Patch. They
pay $4 to enter the patch and $3 per pound for the pumpkins they pick. Write
an equation to model the total cost, y, for x pounds of pumpkins.
A. y = 3x+4
B. y = 3(x+4)
C. y = x(4+3)
D. y = 4x + 3
Answer:
the answer is A
Step-by-step explanation:
the starting point which is the addition part is 4 dollars for entrance and 3 stands for the price per pound and x is the amount of pounds
simplify: 5^2 x 5^4
A, 5^8
B. 5 x 8
C. 5^2
D. 5^6
Answer:
D. 5^6
Step-by-step explanation:
[tex]5^2*5^4\\5^2^+^4\\5^6[/tex]
Cómo puedo hallar la longitud de un lado de un triángulo usando el teorema del ángulo de 30°
En un triángulo rectángulo con ángulos de 30° -60° -90°, para encontrar la longitud de un lado, debes encontrar la longitud de la hipotenusa.
¿Cómo encontrar la longitud de la hipotenusa?Es necesario encontrar la longitud del cateto opuesto al ángulo de 30°, también conocido como cateto menor, y luego multiplicarlo por 2, descubriendo así el cateto de la hipotenusa, utilizando la fórmula del teorema de Pitágoras:
a²+b²=c²Por lo tanto, puedes usar el teorema de Pitágoras para calcular la longitud del lado que falta en un triángulo rectángulo.
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Please help All of these rectangles have an area of 18 square inches. Each square represents 1 square inch.
Which rectangles do not have a perimeter of 18 inches?
Choose each correct answer.
Answer:3
Step-by-step explanation:because listen 3 is 2 for the side then 9 for the top so 9+9 equals 18 right so then 2+2 equals 4 18+4 does not equal 18
The following histogram represents quiz scores and uses the following interval bins: 1-5, 6-10, 11-15, 16-20, 21-25, 26-30, 31- 35, and 36-40. Frequency 15 94°F 10 5 Grades on 40-Question Quizo 8 1-5 8 6-10 13 11-15 9 16-20 3 21-25 Grade on Quiz 4 26-30 Select the true statement for this histogram.
The student that earned a score of 21 or higher on the quiz has a cumulative frequency of 7 and the relative cumulative frequency of 14%
What is a Histogram?
This refers to the pictorial representation of data that is used to show the distribution of numerical data.
From the given image, the histogram shows the quiz scores of students and the frequencies, and the relative cumulative frequency was gotten by dividing the frequency of each interval by the total number of observations
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Match the expression to its simplified form.
How is the graph of g(x)=-(3x)³ related to the graph of
f(x)=x³?
A. The graph of g(x) is vertical compression of
the graph f(x) by a factor of 3 and a
reflection across the x-axis.
B. The graph of g(x) is horizontal compression
of the graph f(x) by a factor of 3 and a
reflection across the y-axis.
1
C. The graph of g(x) is horizontal compression
of the graph f(x) by a factor of and a
reflection across the x-axis.
3
the transformation from f(x) to g(x) is (c) the graph of g(x) is horizontal compression of the graph f(x) by a factor of 1/3 and a reflection across the x-axis.
How to compare both functions?The functions are given as:
f(x) =x^3
g(x) = -(3x)^3
The minus sign in g(x) = -(3x)^3 implies that the function f(x) is reflected across the x-axis
The 3 in g(x) = -(3x)^3 implies that the function f(x) is stretched horizontally by 1/3
Hence, the transformation from f(x) to g(x) is (c)
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Write this in logarithm form. √x = y
Answer:
[tex] \log_x y = \dfrac{1}{2} [/tex]
Step-by-step explanation:
[tex] \sqrt{x} = y [/tex]
[tex] x^\frac{1}{2} = y [/tex]
[tex] \log_x y = \dfrac{1}{2} [/tex]
Micaela and Chelsea each improved their yards by planting rose bushes and ivy. They bought their supplies
from the same store. Micaela spent $58 on 5 rose bushes, r, and 3 pots of ivy, i. Chelsea spent $100 on 5
rose bushes and 10 pots of ivy. Write equations to represent the scenario. Then, find the cost of one rose
bush and the cost of one pot of ivy.
Answer: A rose bush, r, cost $8; one pot of ivy, i, cost $6;
Step-by-step explanation:
[tex]\left \{ {{5r + 3i =58} \atop {5r+10i=100}} \right.[/tex]
We combine them by minus, we get:
5r + 3i = 58
- 5r + 10i = 100
- 7i = - 42
i = 6
We plug in i = 6 to the first equation, we get:
5r + 3(6) = 58
5r + 18 = 58
5r = 40
r = 8
The cost of one rose bush is $8 and the cost of one pot of ivy is $6.
How to calculate the equationHere are the equations to represent the scenario:
Micaela: 5r + 3i = 58
Chelsea: 5r + 10i = 100
Let's solve the system of equations to find the cost of one rose bush (r) and one pot of ivy (i).
Subtracting the first equation from the second equation, we get:
7i = 42
Dividing both sides by 7 we get:
i = 6
The rose bushes will be:
5r + 3i = 58
5r + 18 = 58
5r = 58 - 18
5r = 40.
r = 8
This means that the cost of one rose bush is $8 and the cost of one pot of ivy is $6.
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112 is the product of 7 and Raj’s score.
Answer: 16
Step-by-step explanation: 112 is equal to the product of 7 and Raj's score. Therefore, Raj's score score is 112 divided by 7 which is 16.
Answer:
Raj´s score = 16
Step-by-step explanation:
112 = 7R
R = Raj´s score
112/7 = R
R = 16
Renee says that y = mx can be rewritten in the form y = mx + b. Is she right? Explain why or why not
Answer This Mathematics (Hard Mode)
522 X 854 = ____
Answer:
445788
Step-by-step explanation:
OMG too difficult man!!
Thanks to my calculator to solve this hard question
Which of the following is a metric unit for distance?
A. centimeters
B. miles
C. feet
D. kilograms
Answer:
A centimeters.
Step-by-step explanation:
Suppose every interior angle in a regular polygon is approximately 128.57∘. What kind of polygon is this?
The polygon with 128.57° as every interior angle is a septagon.
How to determine the polygonIf the interior angle = 128. 57°
Using ( n-2) × 180 = sum of interior angles
Let's say n= 7
We have that,
(7-2) × 180 = 900
Let's find out the polygon
= 7 × 128.57
= 900
A polygon with seven sides is a septagon
Thus, the polygon with 128.57° as every interior angle is a septagon.
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How effective is it to go to your manager to request others take on some activities?
The effectiveness depends on your score of working.
How effective is it to go to your manager to request others take on some activities?
Certainty implies, indeed, that favorable things will happen and uncertainty implies favorable things won't happen.
If we go to our manager, requesting that others should take some activities. It certainly depends upon the our score in the office. if we are hard working than in situations manager could approve our request and if our score is low or we are not a hard worker than result may no be in our favor.
Thus, the effectiveness depends on your score of working.
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WHATS THE CORRECT ANSWER ANSWER ASAP
Answer:
Step-by-step explanation:
Comment
A: Gravity always pulls downward towards (to keep it simple) the earth's center. The answer is not A.
C: If you are interested in upward motion, Friction is not going to be the answer. What will the rocket rub against to make it go up?
D: Centripetal Force has to do with circular motion, The rocket generally is not thought of as going in a circle. Not D.
Answer: B. A chemical reaction can be directed so the energy will force an upward motion.
find the area of a triangle whose sides are 5 m, 6 m and 9m,( use root 2 =-1.41 m)
Answer: 14.1 sq meters
Step-by-step explanation:
this question has already been answered
Your elderly neighbor places a bag of corn kernels on your doorstep each morning. The first day, the bag contained 1 kernel of corn, the second day it contained 2 kernels
of corn, 4 kernels of corn the third day, and so on. Each kernel of corn weighs 0.06 grams. How many kernels of corn will be in the bag on the 22nd day?
Answer:
2^25
Step-by-step explanation:
Given
On first day bag contained 1 kernels
on second bag contained 2 kernels of corn
on third day bag contained 4 kernels of corn
on n th day bag contains 2n-1 kernels of corn
thus on 26 th day bag contains 2^26= 2^25=33,554,432 kernel
Each kernel weigh 0.07 gm
Therefore 2^25 kernels weighs = 2^25 x 0.07
Therefore on 26 th day 2^25 kernel weighs 23,488.1024 kg
The equation y minus 1 = negative 7 (x minus 3). is written in point-slope form. What is the y-intercept of the line? –4 –2 20 22
Answer:
22
Step-by-step explanation:
Hello!
We can convert it into slope-intercept form.
Slope - Intercept Form: [tex]y = mx +b[/tex]
m = slopeb = y-interceptConverty - 1 = -7(x - 3)y = -7x + 21 + 1y = -7x + 22The y-intercept of the line is 22.
Find the exact values of the remaining trigonometric functions of satisfying the given conditions. (If an answer is undefined, enter UNDEFINED.)
cos =
24
25
,
tan < 0
The exact values of the remaining trigonometric functions are sin(x) = -7/25 and tan(x)= -7/24
How to solve the trigonometric functions?The function is given as:
cos(x) = 24/25, tan(x) < 0
The sine function is calculated using:
sin^2(x) + cos^2(x) = 1
So, we have:
sin^2(x) + (24/25)^2 = 1
Collect like terms
sin^2(x) = -(24/25)^2 + 1
Evaluate the squares
sin^2(x) = -576/625 + 1
Take the LCM
sin^2(x) = (625-576)/625
Evaluate
sin^2(x) = 49/625
Take the square roots
sin(x) = -7/25 --- sin(x) is negative because tan(x) < 0
The tangent function is calculated using:
tan(x) = sin(x)/cos(x)
This gives
tan(x) = (-7/25) / (24/25)
Evaluate
tan(x)= -7/24
Hence, the exact values of the remaining trigonometric functions are sin(x) = -7/25 and tan(x)= -7/24
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Complete question
Find the exact values of the remaining trigonometric functions of satisfying the given conditions. (If an answer is undefined, enter UNDEFINED.)
cos(x) = 24/25, tan(x)< 0
sin(x) =
tan(x) =
what is 4(x + 1) = 8.
Answer:
ight so distribute the 4 so you get 4x+4 then subtract 4 from 8 which leaves you with 4x=4 divide by 4 and you get 1
Step-by-step explanation:
[tex]\bf{4(x+1)=8}[/tex]
Divide both sides by 4.
[tex]\bf{x+1=\dfrac{8}{4} }[/tex]
Divide 8 by 4 to get 2.
[tex]\bf{x+1=2}[/tex]
Subtract 1 from both sides.
[tex]\bf{x=2-1 }[/tex]
Subtract 1 from 2 to get 1.
[tex]\bf{x=1 \ \ \to \ \ \ Answer}[/tex]
VerificationLet x=1.
[tex]\bf{4\times(1+1)=8 \ \ \to \ \ \ [Add] }[/tex]
[tex]\bf{4\times2=8 \ \ \to \ \ \ [Multiply]}[/tex]
[tex]\bf{8=8 \ \ \to \ \ \ [Equality \ holds] }[/tex]
Checked ✅
{ Pisces04 }
Can I please get a full answer with steps? Thanks a bunch!
The region in the w-plane into which a rectangular region bounded by the lines x=0, y=0, x=1, y=2 in the z-plane is mapped under the transformation w = (1- i)z + (2 - i) is mathematically given as
(u, v)=(2,1)
(v, v)=(3,0)
(u, u)=(3,2)
(v, u)=(2,2)
What is The region in the w-plane into which a rectangular region bounded by the lines x=0, y=0, x=1, y=2..?Generally, the equation for is mathematically given as
[tex]&\quad(1-i) 2+(2+i) \\\\&(1-i)(x+y i)+2+i \\\\\&x-x i+y i-1 y+2+i \\\\\&(-x+y+1) i+(x+2) \\\\\[/tex]
Given - that
[tex]&x=0 \\\\&y=0 \\\\\&x=1 \\\\\&y=2 \\\\\&(0,0): v=(-0+0+1): u(0+1) \Rightarrow(u, v)=(2,1) \\\\\&(1,0): v=(-1+0+1): u(1+2) \Rightarrow(v, v)=(3,0) \\\\&(1,2): v=(-1+2+1): u(1+2) \Rightarrow C u, u)=(3,2) \\\\&(0,2): v=(-0+2+1): u(0+2) \Rightarrow(v, u)=(2,2)\\\[/tex]
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Find the x-intercept of the graph of the linear equation y = −1
2
x + 3.
x-intercept
Answer:
there is no x-intercept
Step-by-step explanation:
The graph of the equation y = -1 is a horizontal line that passes through (0, -1). The line is parallel to the x-axis. It never intersects the x-axis. There is no x-intercept.
A product is made up of three parts A B and C .The manufacturing in process is such that the probability of A being defective is 0.2..The probability of B being defective is 0.1 and probability of C being defective is 0.3.Find the probability that the assembled will have
a) No defective
b) at least two defective parts.
The probability that there'll be no defective will be 0.504.
How to calculate the probability?Probability of A being defective = 0.2.
Probability of B being defective = 0.1
Probability of C being defective = 0.3.
The probability that there will be no defective will be:
= (1 - 0.2) × (1 - 0.1) × (1 - 0.3)
= 0.8 × 0.9 × 0.7
= 0.504
The probability that there'll be no defect is 0.504.
The probability that there'll be at least two defective part will be:
= (0.2 × 0.1) + (0.2 × 0.3) + (0.1 × 0.3)
= 0.02 + 0.06 + 0.03
= 0.11
The probability that there'll be at least two defects is 0.11.
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126. If the marked price of an article is 40% above the cost price. By how much percent cost price is less than the marked price?
The percent that the cost price is less than the marked price will be 40%.
How to illustrate the information?Let the cost price be 100.
Since the marked price of an article is 40% above the cost price, the marked price is 140.
The percent that the cost price is less than the marked price will be:
= 140 - 100
= 40%
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2x-y+z=8
X+2y+2z-6=0
X-2y-z=1
Solve by linear equation
Answer:
68
Step-by-step explanation:
I did it and it was right