Answers
Area = 1/2 x 14 x 5 = 35 unit²
Answer: 35 unit²
Area of the rectangle = length x width
Area of the triangle = 1/2 x base x height
Area = (13 x 8) + (1/2 x 6 x 8) = 104 + 24 = 128 in²
Answer: 128 in²
[tex]A=\dfrac{14\cdot5}{2}=\dfrac{70}{2}=35[/tex]
2. Look at the picture.
[tex]A_I=8\cdot13=104\ in^2\\\\h=19-13=6\ in\\\\A_{II}=\dfrac{8\cdot6}{2}=\dfrac{48}{2}=24\ in^2\\\\A=104+24=128\ in^2[/tex]
Related Questions
what would be the cross section from a vertical slice of a hexagonal pyramid
Answers
Hope this helps!! - xeyaba
George earns $455 per week. George recieves a 20% raise. How can george calculate his new weekly per rate?
Answers
OPTION 1:
multiply current pay by 20%, then add the result to the current pay
Step 1:
multiply pay by 20% increase
=$455 * 20%
=$91 increase
Step 2:
add pay increase from step 1 to current pay rate
=$455 + $91
=$546 new weekly rate
OPTION 2:
multiply current pay by (1 + 20%)
=($455)(1 + 20%)
=(455)(1.20)
=$546 new weekly rate
ANSWER: His new weekly rate is $546 per week.
Hope this helps! :)
Please help is the answers is 6
Answers
A number cube is rolled 360 times , and the results are recorded as follows : 96 ones , 31 twos , 49 threes , 76 fours , 45 fives , and 63 sixes . What is the experimental probability of rolling a 2 or a 3 ?
1. 0.16
2. 0.22
3. 0.37
4. 0.78
Answers
Total number of 2s and 3s = 31 + 49 = 80
P(2 or 3) = 80/360 = 2/9 = 0.22 (nearest hundredth)
Answer: 0.22
The experimental probability of rolling a 2 or a 3 would be 0.22
What is the probability?Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
We are given that number cube is rolled 360 times , and the results are recorded as follows : 96 ones , 31 twos , 49 threes , 76 fours , 45 fives , and 63 sixes .
Total number of times rolled = 360
Total number of 2s and 3s = 31 + 49 = 80
P(2 or 3) = 80/360 = 2/9
P(2 or 3) = 0.22 (nearest hundredth)
The answer is: 0.22
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If f(x)=6x^3+5x,g(x)=3x^2+5,and h(x)=9x^2-8 what is the degree of f(g(h(x))) awer choices are a.2 b.3 3.7 4.12
Answers
We know that [tex]h(x)=9x^2-8[/tex] and [tex]g(x)=3x^2+5[/tex]
[tex]g(h(x))=g(9x^2-8)=3(9x^2-8)^2+5[/tex]
[tex]=3(81x^4-144x^2+64)+5[/tex]
[tex]=243x^4-432x^2+192+5[/tex]
[tex]=243x^4-432x^2+197[/tex]
Now that we know that [tex]g(h(x))=243x^4-432x^2+197[/tex], to find [tex]f(g(h(x)))[/tex] we are going to evaluate [tex]f[/tex] at [tex]243x^4-432x^2+197[/tex]
[tex]f(g(h(x)))=f(243x^4-432x^2+197)[/tex]
[tex]f(243x^4-432x^2+197)=6(243x^4-432x^2+197)^3[/tex][tex]+5(243x^4-432x^2+197)[/tex]
[tex]=86093442x^{12}-459165024x^{10}+1025681130x^8-1228219200x^6[/tex][tex]+83152048x^4-301780944x^2+45873223[/tex]
Since the degree of a polynomial is the highest degree of its monomials, we can conclude that the degree of f(g(h(x))) is 12
Answer:
The degree is 12
Step-by-step explanation:
Luther won 12 of the last 20 video games he played.
Suppose Luther plays a total of 60 games with his friends over the next month. Predict how many of these games Luther will win.
Answers
what number should you subtract from the numerator of the fraction 52367/47633 and add to the denominator so that, after reducing, you get 17/38
Equation needed too!
Answers
The number you should subtract from the numerator (52367) and add to the denominator (47633) of the fraction 52367/47633 to obtain 17/38 after reducing is 21,458.
The equation is:
(52367 - 21458) / (47633 + 21458) = 17/38
To solve this problem, we need to find the number that, when subtracted from the numerator (52367) and added to the denominator (47633), will result in a fraction that reduces to 17/38.
Let's call this number x.
Step 1: Subtract x from the numerator and add x to the denominator.
(52367 - x) / (47633 + x)
Step 2: Set the resulting fraction equal to 17/38 and cross-multiply.
(52367 - x) / (47633 + x) = 17/38
(52367 - x) × 38 = 17 × (47633 + x)
Step 3: Solve for x.
1,990,946 - 38x = 810,761 + 17x
1,180,185 = 55x
x = 21,458
Therefore, the number you should subtract from the numerator (52367) and add to the denominator (47633) to obtain 17/38 after reducing is 21,458.
The equation representing this process is:
(52367 - 21458) / (47633 + 21458) = 17/38
Find the quotient: 744 ÷ 3.1
A) .024
B) 2.4
C) 24
D) 240
Answers
744 / 3.1 = 240
Check
3.1 * 240 = 744
744 = 744
Hope this helps you! (:
-Hamilton1757
Solve for r.
k=ar/p
a r=ka/p
b r=kap
c r=kp/a
d r=a/kp
Answers
[tex]r= \frac{kp}{a} [/tex]
hopefully i was of help, please mark brainly is possible
please help me with this math question
Answers
3/6=30/60
If we reduce the fractions, we get:
1/2=1/2
Therefore, the rectangles are similar. One of them is just rotated.
Kristen has 64 coins in her bank. She has $9.25 in dimes and quarters. How many dimes and quarters does she have?
Answers
q= # of quarters
QUANTITY EQUATION:
d + q= 64
COST EQUATION:
0.10d + 0.25q= $9.25
STEP 1:
multiply quantity equation by -0.10 to be able to eliminate the d term in step 2
(-0.10)(d + q)= (-0.10)(64)
-0.10d - 0.10q= -6.40
STEP 2:
add equation from step 1 to cost equation to eliminate the d term and solve for q
Add
0.10d + 0.25q= $9.25
-0.10d - 0.10q= -6.40
0.15q= 2.85
divide both sides by 0.15
q= 19 quarters
STEP 3:
substitute q value in step 2 into either original equation to find d value
d + q= 64
d + 19= 64
subtract 19 from both sides
d= 45 dimes
CHECK:
0.10d + 0.25q= $9.25
0.10(45) + 0.25(19)= 9.25
4.50 + 4.75= 9.25
9.25= 9.25
ANSWER: There are 45 dimes and 19 quarters.
Hope this helps! :)
a regular triangular pyramid has a slant height of 13 mm on a base Edge length of 8 in
Answers
Thomas lives in an apartment complex where all the mailboxes are together in one area. The dimensions of his individual mailbox are shown below.
Answers
5/12 * 6/5 = 30/60.
30/60 * 1/2 = 30/120
If you simplify this you get 1/4.
The volume of the mailbox is 1/4, or 0.25.
Given a mean of 61.2 and a standard deviation of 21.4 what is the z score of the value 90 rounded to the nearest tenth?
Answers
Answer:
The z-score of 90 is 1.35
Step-by-step explanation:
The z-score is calculated using the formula:
[tex]z = \frac{x - \mu}{ \sigma} [/tex]
From the question, it was given that the mean is
[tex] \mu = 61.2[/tex]
and the standard deviation is
[tex] \sigma = 21.4[/tex]
and x=90.
We substitute the given values to obtain:
[tex]z = \frac{90 - 61.2}{21.4} [/tex]
[tex]z = \frac{28.8}{21.4} = 1.35[/tex]
Answer:
1.35
Step-by-step explanation:
The measure of angle x is 25 more than 4 times the measure of its complement. Find the measure of x.
Answers
- One angle measures x degrees.
- The other angle measures 25 more than 4 times the angle that measures x degrees; it measures 4x + 25 degrees.
To find x, set the sum of these expressions (x and 4x + 25) equal to 90 and solve algebraically for x.
90 = x + (4x + 25)
90 = x + 4x + 25
90 = 5x + 25
65 = 5x
13 = x
If you wanted to find the measure of angle x, you'd substitute 13 for x in its expression, 4x + 25.
4x + 25
4(13) + 25
52 + 25
77
Answer:
x = 13
m∠x = 77°
The height of a model rocket is 4.5% of the height of the actual rocket. The model is 1.32m high. How high is the actual rocket? Please show your work.
Answers
x is the actual height of the rocket.
4.5% is really 0.045 (move the decimal place 2 times to the left).
1.32 = 0.045x
Divide both sides by 0.045.
x = 29.3
The height of the actual rocket is 29.3 meters.
To find the height of the actual rocket given the height of the model rocket, we can use the ratio between the two. By setting up and solving a simple equation, we can determine that the height of the actual rocket is 29.33 meters.
To find the height of the actual rocket, we need to start by determining the ratio between the height of the model rocket and the actual rocket. Given that the model rocket is 4.5% of the height of the actual rocket, we can use this ratio to solve for the height of the actual rocket.
Let's denote the height of the actual rocket as x. Since the model rocket is 4.5% (or 0.045) of the actual rocket's height, we can set up the equation:
0.045x = 1.32
To solve for x, we divide both sides of the equation by 0.045:
x = 1.32 / 0.045
Calculating this expression gives us the height of the actual rocket as 29.33 meters.
I know how to solve number 4 but I’m having a hard time with 1,2,3,5,6
Answers
angle b=112-------> by vertical angles
angle a+112=180-----> supplementary angles
angle a==180-112----> angle a=68
angle c=angle a-----> by vertical angles
angle c=68
the answer part 1) is
angle a=68°
angle b=112°
angle c=68°
part 2)
angle a+15+38=180-----> angle a=180-(15+38)----> angle a=127
the answer part 2) is
angle a=127°
part 3)
angle b=40-----> by vertical angles
angle d=70-----> by vertical angles
2*angle x+40+angle d=180----> 2*angle x=180-(40+70)
2*angle x=70------> angle x=35
angle a=angle x-----> by vertical angles
angle a=35
angle c=angle x-----> by vertical angles
angle c=35
the answer part 3) is
angle a=35°
angle b=40°
angle c=35°
angle d=70°
Part 4)
angle a+70=90------> are complementary angles
angle a=90-70----> angle a=20
angle a+angle b=90----> are complementary angles
angle b=90-angle a----> 90-20-----> angle b=70
angle d=70 -------> by vertical angles
angle d+angle e=180------> supplementary angles
angle e=180-angle d----> angle e=180-70----> angle e=110
angle a+angle b+angle c+angle d=180
angle c=180-(20+70+70)----> angle c=20
the answer part 4) is
angle a=20°
angle b=70°
angle c=20°
angle d=70°
angle e=110°
Part 5)
angle a+90=180------> supplementary angles
angle a=180-90----> angle a=90
angle a +angle b=180----> supplementary angles
angle b=180-angle a----> angle b=180-90----> angle b=90
angle e=132-----> by vertical angles
angle d+132=180-----> supplementary angles
angle d=180-132----> angle d=48
angle c+138=180-----> supplementary angles
angle c=180-138----> angle c=42
the answer part 5) is
angle a=90°
angle b=90°
angle c=42°
angle d=48°
angle e=132°
part 6)
angle a+110=180------> supplementary angles
angle a=180-110----> angle a=70
angle c=25-----> by vertical angles
angle b+100+25=180----> angle b=180-(100+25)----> angle b=55
the answer Part 6) is
angle a=70°
angle b=55°
angle c=25°
PLEASE HELP!!!
Explain why the graph of quadratic function could not contain both a minimum vertex and maximum vertex at the same time.
Your explanation should be 3-4 sentences and include at least 6 of the following words.
-parabola
-U-shaped graph
-vertex
-minimum
-maximum
-Y-value of the vertex
-X-value of the vertex
-quadratic function
Answers
Answer:
アップダウンは世の常
クズ引いたって動じない
Step-by-step explanation:
The average pay of employees is $399.44 per week at a local True Value Hardware store. Jay Miller earns $411.11 per week. How much is Jay's pay over the average?
Answers
To calculate how much more Jay Miller's weekly salary is compared to the average, subtract the average weekly salary ($399.44) from Jay's weekly salary ($411.11). The difference is $11.67, which is how much Jay's weekly pay is over the average.
Explanation:The question is asking us to calculate how much more Jay Miller's weekly salary is compared to the weekly average salary of employees at the local True Value Hardware store. The step-by-step process to solve this is very simple. Firstly, we will subtract the average weekly salary from Jay's weekly salary.
The average weekly salary is $399.44.Jay's weekly salary is $411.11.Subtract the average weekly salary from Jay's weekly salary:$411.11 - $399.44 = $11.67
So, Jay's weekly pay is $11.67 over the average.
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Please help my answer is c, is this right!
Answers
There are 3 X's at 1/4 so you would add 1/4+1/4+1/4=3/4. There are 2 X's at 1/2 so you would add 1/2+1/2=1. There are 2 X's at 3/4 so you would add 3/4+3/4=1.5. There is 1 X at 1 so it would just be 1. Then add all those together 3/4+1+1.5+1=4.25 or you could just add each X as you come across it on the number line like so:
[tex]0.25 + 0.25 + 0.25 + 0.5 + 0.5 + 0.75 + 0.75 + 1 = 4.25[/tex]
What is the value of x?
Enter your answer in the box.
x =
Answers
A straight line measures to 180°
The angle that measures 134 and x make a straight line
180 = 134 + x
Subtract 134 from both sides
46 = x
The answer is 46°
Hope this helps!
x = 180 - 134 = 46°
Answer: 46°
Tyrone factored the polynomial completely. What is the value of b? 12x^4+30x^3+4x^2+10x
Ax(Bx^2+1)2x+5
Answers
Given: 12x^4 + 30x^3 + 4x^2 + 10x
Req'd: B = ?
Sol'n:
*use elimination
solving for B:
= 2x (6x^3 +15x^2 + 2x +5)
= 2x (3x^2(2x + 5 +2x +5)
= 2x (3x^2 + 1) (2x + 5)
Answer:
[tex]B=3[/tex]
Step-by-step explanation:
We have been given an expression [tex]12x^4+30x^3+4x^2+10x[/tex].
Let us factor our given expression to answer the given problem.
Factor out [tex]2x[/tex] from all terms:
[tex]2x(6x^3+15x^2+2x+5)[/tex]
Now, we will make two groups of [tex]6x^3+15x^2+2x+5[/tex] as shown below:
[tex]2x((6x^3+15x^2)+(2x+5))[/tex]
[tex]2x((6x^3+15x^2)+(2x+5))[/tex]
Factor out [tex]3x^2[/tex] from 1st group:
[tex]2x((3x^2(2x+5))+(2x+5))[/tex]
[tex]2x(3x^2+1)(2x+5)[/tex]
Upon comparing [tex]2x(3x^2+1)(2x+5)[/tex] with [tex]Ax(Bx^2+1)(2x+5)[/tex], we can see that [tex]A=2[/tex] and [tex]B=3[/tex].
Therefore, the value of B is 3.
what components make an ellipse an ellipse
Answers
An ellipse is a curved shape characterized by two foci and a major axis, with every point on the ellipse being at a constant sum of distances from the foci. The eccentricity, which is the ratio of the distance between the foci to the length of the major axis, determines the 'roundness' of the ellipse. The ellipse can be constructed using the gardener's method to showcase this constant sum property.
Explanation:An ellipse is a specific type of curve that is noticeably different from a circle in that it is elongated; it has two distinct foci instead of a single central point and a major axis that defines its longest diameter. The foci are two fixed points located within the ellipse such that the sum of the distances from any point on the ellipse to the two foci is constant. This consistent sum of distances is what gives an ellipse its characteristic shape. This property is often demonstrated by the 'gardener's method' of creating an ellipse by anchoring a string to two fixed points (the foci) and tracing a path with a marker keeping the string taut.
The eccentricity of an ellipse, which determines its 'roundness,' is the ratio of the distance between the two foci to the length of the major axis. If the foci are close together relative to the major axis, the ellipse will appear more circular; if they are further apart, the ellipse will be more stretched out. The major axis (2a) cuts the ellipse into two equal halves, and each half is referred to as the semimajor axis (a).
A crucial aspect of drawing an ellipse involves identifying the length of the major axis and the location of the two foci. Because these elements are so fundamental, an ellipse can be readily illustrated by the use of string and a couple of tacks representing the foci.
Consider the attached diagram if the box weighs 100 N in what direction is the support force
A) up
B) down
C) left
D) right
Answers
There needs to be an equal amt of force exerted on the box from the bottom so that the box won't crash through the ground and into space. It needs to be kept on the ground by a force exerting upwards as gravity pulls it down.
Determine the rate of change from the table of solutions.
Determine the y-intercept from the table.
Write the equation of the line.
x y
--------------------
-3 10
-2 7
-1 4
0 1
1 -2
2 -5
Please Help!!
Show your work please!
Will give brainliest!!
Answers
Slope = [tex] \frac{Y2 - Y1}{X2 - X1} [/tex]
(4 - 1) / (- 1 - 0)
3 / - 1
- 3 is the slope.
Now plug this into slope-intercept form y = mx + b
y = - 3x + b
Use either of the points to find the b variable
1 = - 3(0) + b
1 = 0 + b
1 = b
Your equation is y = - 3x + 1
Rate of change is the same as slope so your rate of change is - 3.
The y-intercept is the "b" in slope-intercept form so your y-int is 1.
If 400 bricks measuring 81" by 31" are required to build a wall 42 ft. high, how long is the wall? feet.
Answers
b= 400, let H height and l length
Area = 81*31 or 6.75*2.58 = 17.44 ft²
b(17.44ft²)=Hl
400(17.44 ft²) =42 l
l= 6975/42 = 166.07
so the length of the wall is 166 ft approximately as a whole number
A basket is filled with white eggs and brown eggs. Half of the white eggs are cracked. An egg is randomly selected from the basket. What is the probability that it is a cracked, white egg? Write your answer as a fraction in simplest form.
Answers
The probability of randomly picking a cracked white egg from a basket of white and brown eggs is calculated by dividing the number of cracked white eggs (half of the total white eggs) by the total number of eggs. However, specific numbers for the number of white and brown eggs are needed for an exact answer.
Explanation:In order to answer this question, we need to know the number of white eggs and brown eggs in the basket. However, assuming that there are 'w' white eggs and 'b' brown eggs in the basket, and half of the white eggs are cracked, the probability of randomly picking a cracked white egg would be calculated by dividing the number of cracked white eggs by the total number of eggs. Therefore, if 'w' over 2 represents cracked white eggs, the probability would be (w/2) / (w + b).
For example, if the basket had 10 white eggs and 20 brown eggs, and half the white eggs are cracked. There would be 5 cracked white eggs. Hence, the probability of picking a cracked white egg would be calculated as: (5 / (10 + 20)), which equals to 1/6.
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Round 5685 to the nearest 100
Answers
How would I set up the equation to find mRQS on this circle?
Answers
the difference between the product of 6 and a number and negative two times the number