21 cubic inches
Answer: 21 cubic inches is the volume of a box that will hold exactly 567 of these cubes with 1/3 inch sides.
a man in a boat rowing from light house whose height is 200 meter.he takes 2minutes to change the angle of elevation top of light house from 60⁰ and 45⁰ find speed of boat
Answer:
The speed of the boat is approximately 0.704 m/s
Step-by-step explanation:
The time it takes the man in the boat to change the angle of elevation from 60° to 45°, t = 2 minutes = 120 seconds
The height of the light house = 200 m
Given that the angle of elevation is reducing, the direction of the man is away from the lighthouse
The initial distance of the man in the boat from the lighthouse = 200 m/(tan(60°)) = (200/√3) m
The final distance of the man in the boat from the lighthouse = 200 m/(tan(45°)) = 200 m
The distance traveled in 2 minutes, d = 200 m - (200/√3) m ≈ 84.53 m
The speed of the boat, v = d/t
∴ v = 84.53 m/(2 min × 60 s/min) ≈ 0.704 m/s
The speed of the boat, v ≈ 0.704 m/s.
What is an equivalent expression to 2(4x+1)?
Answer:
8x+2
Step-by-step explanation:
Distribute the 2, the resulting expression will be equivalent
I hope this helps:)
may someone who is good at trigonometry help me pls
Answer:
5
Step-by-step explanation:
In all right triangles, the tangent of an angle is equal to its opposite side divided by its adjacent side (neither of sides may be the hypotenuse). Thus, we have:
[tex]\tan 60^{\circ}=\frac{5\sqrt{3}}{y},\\y=\frac{5\sqrt{3}}{\tan 60^{\circ}}=\boxed{5}[/tex]
Which statement correctly describes the translations used to graph the following exponential function?
h (2) = 32-2 +4
translate 2 units left and 4chgits up
translate 2 units left and 4 units down
translate 2 units right and 4 units up
translate 2 units right and 4 units down
1
2
3
Answer:
1.is the answer:)............
is 3 equivalent to this? yes or no? ill give brainliest
Answer:
No
Step-by-step explanation:
This is 3 times 3
3 would be 3 with a 1 instead of a 2
WILL GIVE BRAINLIEST AND THANKS. find the value of x
Answer:
12
Step-by-step explanation:
20² - 16² = x²
400 - 256 = x
400 - 256 = 144
√144 = 12
Which of these strategies would eliminate a variable in the system of equations?
2x — бу = 6
6x – 4y = 2
Select the correct answer.
A graduate school plans to increase its enrollment capacity by developing its facilities and the programs it offers. Their enrollment capacity this year was 120 graduate students. Beginning next year, the school plans to triple this number every year, with a target enrollment capacity of 3,240 students.
Which equation represents this situation, and after how many years, t, will the graduate school be able to achieve its target enrollment capacity?
Answer:
120(3)t = 3,240; t = 3
Step-by-step explanation:
The diagram shows the dimensions of a park and a garden. The shape of the garden is similar to the shape of the park.
100 m
300 m
12 m
X
Park
4 m
Garden
330 m
280 m
8 m
200 m
* not drawn to scale
Which side length of the park corresponds to side x of the garden?
A. 200 m
B. 280 m
C. 300 m
O D. 330 m
Answer:
B 280 m
Step-by-step explanation:
Consider the given triangle. If a = 83 and b = 70, then the measure of ZB =
Answer:
If ZB is the 3rd angle, since a triangle has 180 degrees total just do 83+70+x=180 sooooo x=27
Step-by-step explanation:
Find m∠ABD and m∠CBD given m∠ABC = 111∘.
Answer:
m∠ABD = 88º
m∠CBD = 23º
Step-by-step explanation:
(-10x + 58) + (6x + 41) = 111
Combine like terms
-4x + 99 = 111
Subtract 99 from both sides
-4x = 12
Divide both sides by -4
x = -3
------------------------
m∠ABD = -10x + 58
m∠ABD = -10(-3) + 58
m∠ABD = = 30 + 58
m∠ABD = 88º
m∠CBD = 6x + 41
m∠CBD = 6(-3) + 41
m∠CBD = -18 + 41
m∠CBD = 23º
Answer:
88, 23
Step-by-step explanation:
<ABD + <DBC = <ABC
(-10x + 58) + (6x + 41) = 111
-10x + 58 + 6x + 41 = 111
99 - 4x = 111
-4x = 111-99
-4x = 12
x = 12/-4
x = -3
m∠ABD = -10x + 58
m∠ABD = -10(-3) + 58
m∠ABD = = 30 + 58
m∠ABD = 88º
<DBC = 6x + 41 = 6*-3 + 41 = -18 + 41 = 23
Hope it helps u
Please mark as brainliest
Calculate the volume of liquid that would fill the bowl of each class. Show all your calculations and explain your reasoning.
(no links plz)
Answer:
The volume of liquid that will fill the bowl of the glass is approximately 178.82 cm³
Step-by-step explanation:
The given dimensions of the bowl are;
The shape of the bowl containing the liquid = A cone
The base length of the triangular cross-section of the cone = The diameter of the cone, d = 6 cm
The slant height of the triangular cross-section of the cone = The slant height of the cone, l = 7 cm
Therefore, the height of the cone, h = √(l² - (d/2)²)
∴ h = √(7² - (6/2)²) = 2·√10
The height of the cone, h = 2·√10 cm
The volume of a cone, V = (1/3) × Base area, A × Height, h
V = A × h
The base area of the cone, A = π × (d/2)²
A = π×(6/2 cm)² = 9·π cm²
By plugging in the values
V = A × h
∴ V = 9·π cm² × 2·√10 cm ≈ 178.82 cm³
The volume of the cone = The volume of liquid that will (can) fill the bowl of the glass, V ≈ 178.82 cm³.
How does the graph of y = 3^xcompare to the graph of y = 3^-x?
A. The graphs are the same.
B.The graphs are reflected across the x-axis.
C. The graphs are reflected across the y-axis.
Answer:
C
Step-by-step explanation:
The graphs are reflected across the y-axis.
x3 + 5y when x = 4, y = -3
Answer:
49
Step-by-step explanation:
4^3=64
5(-3)=-15
64+(-15)=49
Answer:
49
Step-by-step explanation:
First, because of the order of operations, you would do 4^3 (or four to the power of three) first to get 64. 5×-3 is equal to -15, and a positive number plus a negative number is just that positive number minus a positive version of the negative number, if that even makes sense. Basically, 35 + -2 would be equal to 35-2. 64-15 is equal to 49, which is your answer!
I hope this helped you!
What are the two smallest consecutive odd integers whose sum is greater than 17
Answer:
9 and 11
Step-by-step explanation:
please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
[tex]Volume~of~cylinder=\pi r^2h[/tex]
[tex]\pi *(10)^2*5[/tex][tex]500\pi[/tex][tex]1570.8~m^3[/tex]-------------------------
hope it helps..
have a great day!!
Answer:
I believe it would be 1570.
Step-by-step explanation:
The formula to find the volume of a cylinder is:
V = pi • r² • h
The diameter is usually 2x the radius:
20m ÷ 2 = 10
The radius would be 10m.
3.14 • 10² • 5 = 1570 cubic m
HELP PLEASEEE?? will mark brainliest
Bruce is 4 times as old as Indy. 6 years ago, Bruce was 6 times as old as Indy. How old is bruce?
Answer:
60
Step-by-step explanation:
Bruce is 4 times as old as Indy
b = 4i
6 years ago, Bruce was 6 times as old as Indy
b - 6 = 6(i - 6)
b - 6 = 6i - 36
Substitute for b = 4i
4i - 6 = 6i - 36
Subtract 4i from both sides
-6 = 2i - 36
Add 36 to both sides
30 = 2i
Divide both sides by 2
15 = i
Since b = 4i
b = 4(15)
b = 60
Question
HELP PLEASEEE?? will mark brainliest
Bruce is 4 times as old as Indy. 6 years ago, Bruce was 6 times as old as Indy. How old is bruce?
Which set of three angles could represent the interior angles of a triangle?
19 degrees, 70 degrees, 91 degrees
47 degrees, 12 degrees, 31 degrees
50 degrees, 20 degrees, 20 degrees
25 degrees, 25 degrees, 100 degrees
Answer:
19 degrees, 70 degrees, 91 degrees
Step-by-step explanation:
to make an interior angle of a triangle you need to make a 180-degree triangle and 19+70+91 make 180 degrees
Answer:
19, 70, 91
Step-by-step explanation:
19 + 70 + 91 = 180. Everything else doesn't add up to 180.
Which of the following choices shows another way to write the ratio 7:13?
A. 7 out of 13
b. 13 to 7
c. 52.84%
d. All of these choices are correct.
Jim is repainting a free-throw key of a basketball court. the free-throw is made by combining a rectangle and a semicircle, as shown below. In order to know how much paint to purchase, Jim will determine the area of the free-throw key. What is the total area, to the nearest whole square foot, of the free-throw key shown in the diagram?
Answer:
285
Step-by-step explanation:
First find the area of the rectangle
A = l*w
A = 19*12 = 228
The find the area of the semicircle
A = 1/2 pi r^2
We know the diameter is 12 so the radius is half the diameter so 1/2 (12) = 6
A = 1/2 (3.14)(6)^2
= 1/2 (3.14) (36)
= 56.52
Add the two areas together
225+56.52
284.52
Rounding to the nearest whole number
285
Last month Maria hiked a total of 90 miles on two trails: a 5-mile mountain trail and a 10-mile canal trail. Let x represent the number of times Maria hiked the mountain trail, and let y represent the number of times Maria hiked the canal trail.
Which equation can be used to find the number of times Maria hiked each trail?
Answer:
5x+10y=90
Step-by-step explanation:
The equation that can be used to find the number of times Maria hiked each trail is 5x + 10y = 90.
How to depict the equation?From the information, Maria hiked a total of 90 miles on two trails: a 5-mile mountain trail and a 10-mile canal trail.
x represent the number of times Maria hiked the mountain trail.
y represent the number of times Maria hiked the canal trail.
The equation will be:
= (5 × x) + (10 × y) = 90
= 5x + 10y = 90
The equation is 5x + 10y = 90.
Learn more about equations on:
brainly.com/question/2972832
#SPJ9
PLS HELP WILL GIVE YOU BRAINLIEST!!!!!!!!!!!!
A contractor determined the average amount of time needed to build a house. * When 5 workers are used, it takes 52 days to build the house. * When 20 workers are used, it takes 13 days to build the house. if W represents the number of workers and D represents the number of days required to build the house, which statement is true about this relationship?
A) The time required to build a house varies directly with the number of workers because d=260w.
B) The time required to build a house varies directly with the number of workers because wd= 260.
C) The time required to build a house varies inversely with the number of workers because d=260w.
D) The time required to build a house varies inversely with the number of workers because wd= 260.
the number of workers because d=260w.
D) The time required to build a house varies inversely with the number of workers because wd= 260.
Answer:
BAKAAHAKAKAKAKAKAKAKAKAKAKKAKA
Step-by-step explanation:
NSJLLLLLLLLLLLLLLLLLL
cKASN.ANV.ANV,.ADNV,.ANDA,.NV.ANANV
Josie earns $40.00 for every house that she cleans. She also receives a bonus of $50 each month.
Enter an equation that can be used to find the total amount Josie earns (y), in dollars, for cleaning x houses in one
month.
Answer:
y=40x+50
Step-by-step explanation:
help please i need it bad
Answer:
-13, -3
15, 2.6
Step-by-step explanation:
x, y are the numbers
x = 5y + 2
x×y = 39
(5y + 2)×y = 39
5y² + 2y - 39 = 0
the solution of a quadratic equation :
y = (-b ± sqrt(b² - 4ac))/2a
a = 5
b = 2
c = -39
y = (-2 ± sqrt(2² - 4×5×-39))/2×5 =
= (-2 ± sqrt(4 + 780))/10 =
= (-2 ± sqrt(784))/10 = (-2 ± 28)/10
y1 = (-2 + 28)/10 = 26/10 = 2.6
y2 = (-2 - 28)/10 = -30/10 = -3
x1 = 5×2.6 + 2 = 13 + 2 = 15
x2 = 5×-3 + 2 = -15 + 2 = -13
pls help pls answer correctly pls no links pls i beg
Answer:
djdjdjfjfjfgffjfjjfjfkff
WILL GIVE BRAINLIEST: What is the local minimum value of the function g(x)=x^4-5x^2+4? (Round answer to the nearest hundredth)
Answer:
Step-by-step explanation:
you can find where the first derivative is 0 to find the critical points
g'(x) = ( x^4 -5x^2 +4)' = 4x³-10x
g'(x) =0, make y =0 to find find where g'(x) is 0
4x³-10x =0 , factor 2x
2x(2x²-5)= 0 , each factor must be 0
2x= 0, so x= 0
2x²-5 =0, so x = ±√5/2
we now have 3 critical points -√5/2, 0, and √5/2
make intervals (-∞, -√5/2), (-√5/2, 0) , (0, √5/2) and (√5/2, +∞)
pick a point to test on each interval: -2, -1, 1 and 2 for example, and
calculate g'(x) = 4x³-10x at those points
for x= -2 we have 4(-2)³-10(-2) = -12 , negative number, decrease
for x= -1 we have 4(-1)³-10(-1) =6, positive number, increase
for x= 1 we have 4(1)³-10(1) = -6, negative number, decrease
for x= 2 we have 4(2)³-10(2) = 12, positive number, increase
we went from a decrease to an increase on intervals (-∞, -√5/2), (-√5/2, 0) so x= - √5/2 ≈ -1.58 is a minimum
we went from a decrease to an increase on intervals (0, √5/2), (√5/2, +∞) so
x= √5/2 ≈ 1.58 is a minimum as well
Find the measure of arc DF
Answer:
Step-by-step explanation:
Angle E is one-half the measure of the difference between arc CG and arc DF. Mathematically, that looks like this:
[tex]44=\frac{1}{2}(160-DF)[/tex] and
44(2) = 160 - DF and
88 = 160 - DF and
-72 = -DF so
DF = 72 degrees, second choice down
Help! For solving the compound inequality
Click on the second choice, the 3x one
If you buy stocks for $20 per share and then sell it for $2 per share, what be the amount of the capital lost?
Diana earns $9.95 per hour
working at the bank. She
needs to save at least
9
$200.00 in 3 weeks.
Which inequality can be used
to determine h, the number of
hours she needs to work to
reach her goal?
Answer:
m = $9.00 * h.
Step-by-step explanation:
hours: 4, 5, 6, 7,
money: 34, 42.5, 51, 59.5,