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.
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
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
Use Inverse operations to solve the expression. Enter your answer in simplest form. y 1 =8 16
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.
Subtracting a negative is the same as....
Answer:
The answer is ...adding a positive
3x −3 y −4 ⋅ 3x 3 y 3
i need a job please help lol
Answer:
just say something inspiring and formal
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:
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
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
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
Help me to find the sum 37.2 + 17.5=
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
A concert venue sells 16% of its tickets as reserved seats an upcoming concert sells 8,000 tickets .how many tickets are reserved
I’m giving brainlest pls help meeee
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
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
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
What is the probability of picking a 5 and then picking a 4?
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
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%
What number has a value less than 14.7?
Answer:
Anything below 14.7
Step-by-step explanation:
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
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
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.
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
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.
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
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