Answer:
Fernando does not have enough clay to finish the structure since, the expressions for the volume left are not the same.
Step-by-step explanation:
Let w be the length of the longest slab. Since each slab is 2 inches less than the one beneath it, we have the width of the other 3 slabs as w - 2, w - 2 - 2 = w - 4 and w - 4 - 2 = w - 6 respectively.
Since the base of each slab is a square and has thickness 2 inches, the volume of each slab from largest to smallest is thus 2w², 2(w - 2)², 2(w - 4)² and 2(w - 6)² respectively.
We have that we have half of the container of clay left after forming the first two slabs(which are the bottom-most slabs). Let V be the volume of each clay container. Since we have half left, that is V/2, we have used 2V - V/2 = 3V/2 to make the two bottom-most slabs.
So, 3V/2 = 2w² + 2(w - 2)²
= 2w² + 2(w² - 4w + 4)
= 2w² + 2w² - 8w + 8
= 4w² - 8w + 8
= 4(w² - 2w + 2) (1)
Also we want to know if V/2 is equal to the volume of the two top-most slabs.
So, V/2 = 2(w - 4)² + 2(w - 6)²
= 2(w² - 8w + 16) + 2(w² - 12w + 36)
= 2w² - 16w + 32 + 2w² - 24w + 72
= 4w² - 40w + 104
= 4(w² - 10w + 26)
From (1) V/2 = 4(w² - 2w + 2)/3 ≠ 4(w² - 10w + 26)
Since the expressions for the remaining volume are not the same, Fernando does not have enough clay to finish the structure.
Use Inverse operations to solve the expression. Enter your answer in simplest form. y 1 =8 16
find the measure of angle G
Answer:
135 degrees
Step-by-step explanation:
It is as isosceles trapezoid, so the the base angles are congruent. The sum of the inner angles is 360 degrees
2(4x-7) + 2(11x -8) = 360
8x - 14 + 22x -16 = 360
30x = 390
x = 13
angle F = angle G
angle G = 11 * 13 - 8 = 135 degrees
Help me to find the sum 37.2 + 17.5=
how many times larger is the 3 in 3,612 as in 1,347
Answer:
2700
Step-by-step explanation:
3 in 3612 is thousands
3in 1347 is hundreds
3000 - 300
= 2700
Given triangle XYZ:
Angle X = 90°
Angle Y = 45°
Angle Z=
Answer:
Hello! answer: 45
Step-by-step explanation:
90 + 45 + 45 = 180 therefore z = 45 hope that helps!
Hi there!
»»————- ★ ————-««
I believe your answer is:
45°
»»————- ★ ————-««
Here’s why:
The three interior angles of a triangle will always have a sum of 180°.⸻⸻⸻⸻
[tex]\boxed{\text{Finding the Missing Angle:}}\\\\\rightarrow90 + 45 + x = 180\\\\\rightarrow 135 + x = 180\\\\\rightarrow 135-135 + x = 180 - 135\\\\\rightarrow \boxed{x = 45}\\\\\text{Therefore:}\\\\\measuredangle Z = 45$^{\circ}$[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Caity is 50 inches tall. Caity's brother Michael is 5 inches taller than she is. What is Michael's height in feet and inches?
Answer:
55 inches = 4 feet 7 inches
Step-by-step explanation:
Because Michael is 5 inches taller so 50+5=55, then divided by 12 = 4 remainder 7. So that means Michael is 55 inches tall, or 4 feet and 7 inches
2x^2-5x-5=0PLEASE HELP BEEN WORKING ON THIS FOR HOURS PLEASE!!!!!!
Answer:
Ok do u want me to find x?
Step-by-step explanation:
If yes then x=3.27
Subtracting a negative is the same as....
Answer:
The answer is ...adding a positive
Edward has a bag filled with green and purple M&Ms. He has a total of 36 M&Ms in the bag. There are 3 purple M&Ms for every 1 green M&M. If he randomly selects one M&M from the bag, what is the probability that it will be green?
Answer:
25% chance
Step-by-step explanation:
9 green ones in the bag. 9/36=0.25%
Ken is thinking of a number. Nine more than the product of 4 & the number is 73. Find Ken's number.
Answer:
x = 16
Step-by-step explanation:
Let the unknown number be x.
Translating the word problem into an algebraic expression, we have;
4x + 9 = 73
4x = 73 - 9
4x = 64
x = 64/4
x = 16
Therefore, the unknown number is 16.
A concert venue sells 16% of its tickets as reserved seats an upcoming concert sells 8,000 tickets .how many tickets are reserved
Solve the equation. Then check your solution.
StartFraction v Over 7 EndFraction = 3
a.
–21
c.
–4
b.
21
d.
10
Please select the best answer from the choices provided
A
B
C
D
What number has a value less than 14.7?
Answer:
Anything below 14.7
Step-by-step explanation:
which list of numbers is ordered from least to greatest help pls
Answer: B
Step-by-step explanation:
If you change them all to decimals.
4.8% = .048
1/20 = .05
4.1 x [tex]10^{-1}[/tex] = .41
[tex]\sqrt{4}[/tex] = 2
So, that would be least to greatest.
PLs, help quickly please I will give brainliest
9514 1404 393
Answer:
outcomes (top to bottom): SS, SG, GS, GG
all probabilities are 0.25
Step-by-step explanation:
Each outcome is identified by the labels on the ends of the corresponding tree branch, in order left-to-right. The top one is SS, for example, and the next one down is SG. Continuing down the tree, the outcomes are GS and GG.
Each letter has a probability of 1/2, so any pair of letters will have a probability of (1/2)(1/2) = 1/4 = 0.25.
__
This method of identifying outcomes and their probabilities can ensure that you find all outcomes. The sum of probabilities should be 1.00 if the tree is properly constructed.
please help meeee. Pleaseeee
Answer:
in excact terms: 50.26548
to the nearest tenth: 50.3
Step-by-step explanation:
Answer:
Step-by-step explanation:
V = radius^2 x height x π = 4^2 x 1 x π = 16π in^3
16 x 3.14 = 50.26... = 50.3 in^3
Find the value of x please I need help
Answer:
Step-by-step explanation:
113+90+90+12x+7=360(sum of four angles is always 360 degree)
300+12x=360
12x=360-300
x=60/12
x=5
Answer:
X = 5
Step-by-step explanation:
Shapes with 4 sides have angles that add to 360 degrees
So you have two right angles and 113 degrees.
This is
90+90+113=293
360-293=67
12x5=60
60+7=67
This means that x=5
pleaseee helpp im giving a lot of points if corrected
Answer:
x = 38°
Step-by-step explanation:
Complementary angles = 90°
90° = x + x+14
90° = 2x + 14
104 = 2x
x = 52°
the next angle should be 52 - 14 = 38°
So x = 38°
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
please help ive been struggling for a hour i will give a lot of points if corrected
Answer:
EFG = 104°
GFH = 76°
Step-by-step explanation:
The sum of a linear pair is always equal to 180°
So lets solve for the variable n
2n + 32 + 4n + 16 = 180
6n + 48 = 180
6n = 132
n = 22
So now we know N
EFG = 4n + 16
EFG = 88 + 16
EFG = 104°
GFH = 2n + 32°
GFH = 44 + 32
GFH = 76°
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
i need a job please help lol
Answer:
just say something inspiring and formal
Please help again I suck at geometry
Answer:
Option (6)
Step-by-step explanation:
By applying sine rule the given triangle XYZ,
sin(X) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
Measure of opposite side (XY) = 12
Measure of Hypotenuse (XZ) = 37
By substituting these values in the given expression,
sin(X) = [tex]\frac{12}{37}[/tex]
Therefore, Option (6) will be the correct option
3x −3 y −4 ⋅ 3x 3 y 3
This track is made of a rectangle and two semicircles.
Find the perimeter of its outer edge, outlined in bold.
Answer:
the perimeter of thr outer breath is 34
can someone help me with this question? will give thanks!
Answer:
B. 63
Step-by-step explanation:
There are two similar triangles given in the diagram above. Since they area similar, they also have corresponding side lengths that are proportional.
Therefore:
(6 + 3)/3 = x/21
9/3 = x/21
3 = x/21
Cross multiply
21*3 = x
63 = x
x = 63
What is the probability of picking a 5 and then picking a 4?
Which pair of angles must be supplementary?
2 lines intersect to form right angles. Another line goes through the lines diagonally to form 6 angles. From top left, clockwise, the angles are 2 (90 degrees), 1, 6, 5 (90 degrees), 4, 3.
Angle 1 and Angle 6
Angle 2 and Angle 5
Angle 5 and Angle 4
Angle 6 and Angle 2
Answer:
It has to be Angle 1 and Angle 6
Step-by-step explanation:
Hope it helps :)
Answer:
a or 1st answer
Step-by-step explanation:
edge
Orange juice is sold in cartons in three different size 350 ml selling price $4.20 450 ml selling price $5.35 500 ml selling price $5.80 which of the orange juice is most cost-effective buy?justify answer
Answer:
I think it is the $4.20 because if you do the math technically the 4.20 is less for more
Step-by-step explanation:
I’m giving brainlest pls help meeee
Which linear equation has a slope greater -1 but less than 0?
1. 5x+4y=20
2. 4x+5y=20
3. 5x-4y=20
4. 4x-5y=20
Answer:
2. 4x + 5y = 20
Step-by-step explanation:
Determine the slope of each of the equations;
y = mx + c
where;
m is the slope
In each of the given equations, make y the subject of the formula
1. 5x + 4y = 20
4y = 20 - 5x
y = (20/4) - (5x/4)
y = 5 - 5x/4
m = -5/4
2. 4x + 5y = 20
5y = 20 - 4x
y = 4 - 4x/5
m = -4/5 = -0.8
3. 5x - 4y = 20
4y = 5x - 20
y = 5x/4 - 5
m = 5/4
4. 4x - 5y = 20
5y = 4x - 20
y = 4x/5 - 4
m = 4/5
The question says, which of the slope is greater than - 1 but less than 0
- 1 < m < 0
The only equation with slope greater than -1 but less than 0 is 4x + 5y = 20, with slope -4/5 = -0.8
here is the more clearer picture!!!!
Answer:
angle FDA = 75 degrees
angle JAI = 75 degrees
Step-by-step explanation:
In ΔDCE,
angle D + angle C + angle E = 180......(sum of the interior angles of a triangle is always 180 degrees)
angle D + 80 + 25 = 180
angle D + 105 = 180
angle D = 180 - 105
angle D (I. e angle CDE ) = 75 degrees
Now, angle CDE and angle FDA are vertically opposite angles, so,
angle CDE = angle FDA..... (vertically opposite angles are congruent to each other)
therefore, angle FDA = 75 degrees
Now, angle CDE and angle BAD are corresponding angles, so,
angle CDE = angle BAD...... ( corresponding angles are congruent to each other)
angle BAD = 75 degrees
Now, angle BAD and angle JAI are vertically opposite angles, so,
angle BAD = angle JAI..... (vertically opposite angles are congruent to each other)
therefore, angle JAI = 75 degrees