Answer:
No and the density changes along with the weight.
Answer:
(a) No. The weight is more than 150 lb.
(b) No. Density is not a function of volume.
Step-by-step explanation:
The weight of the aquarium is the product of the volume and the density of the contents.
(a)The volume of the aquarium is the product of its dimensions:
V = LWH = (1.75 ft)(1.75 ft)(1.75 ft) = 1.75³ ft³ = 5.359375 ft³
The weight of its contents, at 72 lb/ft³ will be ...
(72 lb/ft³)(5.359375 ft³) = 385.875 lb
The aquarium should not be placed on the table. The weight of the aquarium is too great for the load limit of the table.
__
(b)The density of water is the ratio of its mass to its volume. Density does not change with depth or volume. It is essentially constant. (Water is considered to be virtually incompressible. Its density changes slightly with temperature,)
No, the density of the water would not change.
_____
Additional comments
The half-full aquarium would weigh about 385.875/2 lb ≈ 194 lb. This is still too heavy for the table.
The density of water is actually about 62.4 lb/ft³. We assume the extra 10 lb/ft³ might take into account the weight of the aquarium and any gravel or other non-water content.
A triangle has sides with lengths of 31 feet, 72 feet, and 78 feet. Is it a right triangle?
yes
no
=========================================================
Explanation:
We have a triangle with these side lengths
a = 31b = 72c = 78The order of 'a' and b doesn't matter, but we must have c as the largest value. Usually a,b,c are in ascending order.
Plug those values into the formula for the pythagorean theorem. If we get the same thing on both sides, then we have a right triangle.
[tex]a^2 + b^2 = c^2\\\\31^2 + 72^2 = 78^2\\\\961+5184 = 6084\\\\6145 = 6084\\\\[/tex]
We have a false statement at the end, which means the original equation is false for those a,b,c values.
Therefore, we do not have a right triangle.
Instead, this triangle is acute since the [tex]a^2+b^2[/tex] side is larger than the [tex]c^2[/tex] side
---------------
Rules to have in your notebook or on a reference sheet:
[tex]\text{If }a^2 + b^2 = c^2 \text{ then it is a right triangle}\\\\\text{If }a^2 + b^2 > c^2 \text{ then the triangle is acute}\\\\\text{If }a^2 + b^2 < c^2 \text{ then the triangle is obtuse}\\\\[/tex]
For more information, check out the converse of the pythagorean theorem.
In Lin's drawing, the scale is 5 inches = 8 feet, and the back wall of the lab measures
15 inches. Five computer workstations will be equally spaced along the entire
length of that wall. Each workstation measures 4 feet by 4 feet. How far apart are
the workstations in Lin's drawing? Explain.
Answer:
1 ft
Step-by-step explanation:
scale: 5 in. = 8 ft
Back wall scale measurement: 15 in.
Back wall real measurement: 15 in. × 8 ft / 5 in. = 24 ft
Each workstation measures 4 ft.
5 workstations measure 5 × 4 ft = 20 ft
24 ft - 20 ft = 4 ft
When you place 5 workstations, the outer two will be at the ends of the 24-ft wall. There will be 4 spaces between the workstations.
4 ft / 4 = 1 ft
Answer: 1 ft
A family of four realized their water bill was high and that a lot of water was being wasted in the shower. They replaced their 5-gallon-per-minute showerheads with ones that only use 3 gallons per minute. If each family member showers for 5 minutes per day and a typical month is 30 days long, how many gallons of water will the family save per month with the new showerheads
Answer:
[tex]5 \times 5 = 25 [/tex]
[tex]25 \times 30 = 750[/tex]
1. 2x - 12 = 6
2. 2x + 6= 8
3. 12 = 12s - 12
4. 14s + 6 = 35
5. 3s - 12 = 6
6. 18t + 9 = 34
7. 21x + 7 = 28
8. 105 = 50y + 5
9. 1/4x - 6 = 24
10. 13x + 2 = 18
11. 6 - 3x = 18
12. 14 + s = 21
13. 28 = 16x - 4
14. 19x + 2 = 40
15. 10t = 194
16. 400x + 100 = 1100
17. - 3x + 43 = 113
1. x=9
2. x=1
3. s=2
4. s= 2.5
5. s=6
6. T=5/6
7. x=1
8. y=2
9. x=120
10. x=16/13
11. x=-4
12. s=7
13. x=2
14. x=2
15. t=97/5
16. x=5/2
17. x=-70/3
Find sin(b) in the triangle.
A.4/3
B.3/5
C.3/4
D.4/5
The value of [tex]\sin \beta[/tex] in the given triangle ABC is [tex]\dfrac{4}{5}[/tex]. Option D is correct.
What are the trigonometric ratios?Trigonometric ratios are the ratio of sides of a right angled triangle. There are 6 types of trigonometric ratios: sin, cos, tan, cosec, sec, and cot.
Sine trigonometric ratio is the ratio of perpendicular (side opposite to the angle) to the hypotenuse.
In the given figure, the side opposite to the angle [tex]\beta[/tex] is AC = 4 and the hypotenuse is AB = 5.
So, the sine ratio will be equal to,
[tex]\sin \beta=\dfrac{4}{5}[/tex]
Therefore, the value of [tex]\sin \beta[/tex] in the given triangle ABC is [tex]\dfrac{4}{5}[/tex]. Option D is correct.
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x - 8 > -4 graph the solution
Answer:
hope this helps!:)
Using the image above, what is the measure of Angle J? Round to the nearest hundredth
Answer:
∠J = 31.06°
Step-by-step explanation:
Taking the inverse sin function :
sin ∠J = 1.6/3.1J = sin⁻¹ (0.516)∠J = 31.06°please 40 points!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
1.cannot
2.can
3.cannot
4.can
Step-by-step explanation:
it's actually quite simple. if the angles add up to 180°, it is a triangle. so if they don't, then its not a triangle.
21+28+41= 90 -> not a triangle
65+45+70=180 -> triangle
48+52+54=154 -> not a triangle
16+40+124=180 -> triangle
6 Mateo and Katia each walked into a
video arcade with $9.50 in quarters. After
they played video games for an hour, Katia
had $1.75 more than Mateo. Which could
be the amounts of money they had then?
Please help, I am bad at Trig
Answer:
the correct answer is A, thats when cos of ttheta is
The area of the following composite figure is 125 square centimeters. What is the value of b?
9 cm
13 cm
14 cm
12 cm
Answer:
b=125
Step-by-step explanation
9cm x 14 - 1 = 125
Anthony graphed the inequality y < -2x + 1 as shown.
What error did Anthony make?
Answer:
See below ~
Step-by-step explanation:
Anthony has graphed the inequality y ≤ -2x + 1.
For an inequality using a > or < sign, a dotted line has to be used instead of a solid line.
Which expression is equivalent to the given expression
In(2e/x)
Answer:
option C is the best answer
Step-by-step explanation:
Answer:
1 + ln 2 - ln x
Step-by-step explanation:
Plato/Edmentum
please i will give brainliest if right
Answer:
s = 132 square cm
Step-by-step explanation:
s = area of base + area of lateral faces
Area of base (triangle)
A = 1/2bh
A = 1/2(3)(4)
A = 1/2(12)
A = 6
There are two bases (triangles), so multiply the answer by 2.
6 x 2 = 12
Area of lateral faces (3 rectangles)
First rectangle:
A = lw
A = 5(10)
A = 50
Second rectangle:
A = lw
A = 4(10)
A = 40
Third rectangle:
A = lw
A = 3(10)
A = 30
Add all the areas together.
s = 12 + 30 + 40 + 50
s = 132 square cm
Alice’s backyard is a rectangular piece of property that is twice as long as it is wide. the total area of her yard is 1,000 m2. what is the approximate width of her backyard? a = lw 11.2 m 15.8 m 22.4 m 44.8 m
1. Are lines a and b perpendicular?
2. Are lines a and d perpendicular?
3. Are lines b and c parallel?
A car travels 150 miles in 3 hours. What is the rate of the car in miles per hour?
Answer:
50 miles per hour
Step-by-step explanation:
150 miles=3 hours
150/3=50
50miles 1 hour
100 miles 2 hours
150 miles 3 hours
each hour is 50 miles
Answer:
The rate of the car is 50 miles per hour
PLEASE HELP GIVING BRAINLIST!!! Given ΔXYZ is isosceles, what is XZ if the perimeter is 107 units and XZ = 1/2 XY?
And XZ=1/2XY
XZ be x
XY=YZ=2xNow
x+2x+2x=1075x=107x=21.4unitsXZ=21.4units
Answer:
XZ = 21.4 units
Step-by-step explanation:
If ΔXYZ is an isosceles triangle then XY = ZY
(the dashes on the line segments indicate they are of equal measure)
If XZ = ¹/₂XY then
⇒ 2XZ = XY = ZY
If the perimeter is 107 units:
⇒ Perimeter of ΔXYZ = XY + ZY + XZ
⇒ 107 = 2XZ + 2XZ + XZ
⇒ 107 = 5XZ
⇒ XZ = 107 ÷ 5
⇒ XZ = 21.4 units
help me pls, will mark brainliest!!!!!!!!!!!!!
Step-by-step explanation:
since he was already on time on the first day, the question is reduced to the probability of being on time on exactly one of the next 2 days.
the probability to be on time on exactly one day means to be on time on one day and to be late on the other.
the probability to be late is the opposite of the probability to be on time, so
1 - 0.7 = 0.3
so, the probability for this combined event for one of the day combinations is
0.7 × 0.3 = 0.21
how many day combinations (1 day on time, the other late) can we have ? 2 (either on time on the first and late on the second, or late on the first and on time on the second).
so, we need to multiply this with the basic probability and get
0.21 × 2 = 0.42
so, b. is the right answer.
What is the area of this figure? 28cm 26cm 36cm 18cm
I need help with this asap pleaseee
Answer:
Form: (x+5)^2 = 2
Solution: -6.41, -3.59
100 pts. need help asap
Answer:
The last option {y | y is a real number}
Step-by-step explanation:
Since the graph is a cube root function, it has no range issues. So the range is all real numbers.
5. A TV program received 7.4 points of audience rating at the first week of its opening. Then, because many advertisements were inserted, its audience rating dropped by 25% at the second week. What was the audience rating at the second week? points Enter the answer Check it skip
Answer:
5.55 points
Step-by-step explanation:
25% reduction so its 75% of the original value
75% of 7.4 is 5.55
In a recent poll among 500 students, it was found that 60% of women and 68% of men eat meals on campus at least 3 times a week. What type of statistical test would you use to see whether men and women differ in the extent to which they eat meals on campus at least three times a week
The statistical test would be a Z-test for the difference between the proportions.
What is Z-test?The Z test is a parametric procedure that is used on data that is dispersed in a normal fashion. For testing hypotheses, the z test can be used on one sample, two samples, or proportions. When the population variance is known, it analyzes if the means of two big groups are dissimilar.
We have:
In a recent poll among 500 students, it was found that 60% of women and 68% of men eat meals on campus at least 3 times a week.
From the above data and the definition of the Z-test, the statistical test would be a Z-test for the difference between the proportions.
Thus, the statistical test would be a Z-test for the difference between the proportions.
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What else would need to be congruent to show that AABC= ADEF by AAS?
8
E
60°
60"
10
10
A
С
O A. ZC=ZF
B. AC = DF
0 0
C. ZA ZD
D. BC = EF
With ∠C=∠F, ΔABC and ΔDEF are congruent by AAS congruence. Therefore, option A is the correct answer.
What is the congruence theorem?Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.
Consider ΔABC and ΔDEF,
Here, ∠B=∠E=50°
AB=DE=10 units
With ∠C=∠F
So, by AAS congruence theorem ΔABC and ΔDEF are congruent
Therefore, option A is the correct answer.
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This is hard pls help
The length of the SM parallelogram when the length of the rectangle is 15 cm and width is 8 cm is 8/5 units.
What is the area of a rectangle?Area of a rectangle is the product of the length of the rectangle and the width of the rectangle. It can be given as,
[tex]A=a\times b[/tex]
Here, (a)is the length of the rectangle and (b) is the width of the rectangle
The length of the rectangle is 15 cm and width is 8 cm. Thus, the area of it is,
[tex]A=15\times8\\A=120\rm\; cm^2[/tex]
All three parts has equal area. Thus, the area of parallelogram NCMA is,
[tex]A_p=\dfrac{120}{3}\\A_p=40\rm\; cm^2[/tex]
MN is the height of the parallelogram. Thus,
[tex]A_p=h\times AS\\40=h\times15\\h=\dfrac{40}{15}\\h=\dfrac{8}{5}[/tex]
Thus, the length of the Sm parallelogram when the length of the rectangle is 15 cm and width is 8 cm is 8/5 units.
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Translate the sentence into an equation.
Twice the difference of a number and 2 equals 5 .
Use the variable c for the unknown number.
Answer:
2(c-2)=5
Step-by-step explanation:
Twice means to multiply by two. Difference is subtraction, and the difference is between a number (c) and 2. Together, the equation equals 5.
Hope this helps!
Which equation could be solved using this application of the quadratic formula? a. -2x2 − 8 = 10x − 3 b. 3x2 − 8x − 10 = 4 c. 3x2 8x − 10 = -8 d. -2x2 8x − 3 = 4
The equation that can be solved when the given quadratic formula is used is c. 3x² + 8x − 10 = -8.
How can we use quadratic equations?The given quadratic equation is:
x = (-8 ± √(8² - 4(3)(-2))) / 2 (3)
Rewriting the quadratic equation in option C gives:
3x² + 8x − 2 = 0
Seeing as a quadratic equation takes the form:
x = (-b ± √(b² - 4(a)(c))) / 2 (a)
The formula becomes:
x = (-8 ± √(8² - 4(3)(-2))) / 2 (3) which is the given quadratic formula.
In conclusion, option C is correct.
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Choose the equation for the relationship shown in the graph.
A) y = x + 50
B) y = x – 50
C) y = 50 - x
D) x = 50 - y
Answer:
B) y = x - 50
Step-by-step explanation:
It is B because the graph's y-intercept lies on the point (0, -50), hence the equation, y = x - 50. In addition, you can verify that B is the correct answer because the slope of the graph is positive, and so the x-value also must be positive.
complete the statement, and find the value of x in the diagram.
help please!
Answer:
Also the quadrilateral shown is a rhombus
Step-by-step explanation: