Answer: 78,720,000,000 quarts.
Step-by-step explanation:
32 x 2460000000 = 78,720,000,000
Find the height of the building to the nearest foot in the diagram below. Show work.
Answer:
height : 150 feet
Step-by-step explanation:
[tex]\sf \sf tan(x)= \dfrac{opposite}{adjacent}[/tex]
using tan rule:
[tex]\hookrightarrow \sf tan(62)= \dfrac{b}{80}[/tex]
[tex]\hookrightarrow \sf b = tan(62)*80[/tex]
[tex]\hookrightarrow \sf b =150.46 \ feet[/tex]
Answer:
[tex]\approx 150 \: ft[/tex]
Step-by-step explanation:
recall sohcahtoa
sin(x)=opposite/hypotenusecos(x)=adjacent/hypotenusetan(x)=opposite/adjacenthere,
The adjacent side is 80 ftx°=62°The opposite side is the heightTo find:
The opposite side or the heightsince we are given the value of adjacent side and need to figure out the opposite side , we will work with tan function,
So,
[tex] \tan( {62}^{ \circ} ) = \dfrac{h}{80} [/tex]
[tex] \implies \: h = 80\tan( {62}^{ \circ} ) [/tex]
using calculator,we acquire
[tex] \implies \: h \approx 150 \: ft[/tex]
hence, the height of the building is approximately 150ft
A rectangular prism has a base area of 23 cm² and a height of 6 centimeters. What is the volume of the prism?
Enter your answer in the box.
cm³
+ Brainliest
A rectangular prism with a height of 6 centimeters would have a volume of 138 cubic centimeters.
Given the following data:
Base area = 23 [tex]cm^2[/tex]
Height = 6 centimeters.
The volume of a rectangular prism.Mathematically, the volume of a rectangular prism is given by this formula:
[tex]V = B \times H[/tex]
Where:
H is the height.B is the base area.Substituting the given parameters into the formula, we have;
[tex]V = 23 \times 6[/tex]
V = 138 cubic centimeters.
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find ml 2x+5 5x-4 Brainliest HURRY RN
Answer:
11
Step-by-step explanation:
5x + -4 = 2x + 5
-2x +4 -2x +4
3x = 9
x = 3
5(x) - 4 = ML
5(3) - 4 = ML
15 - 4 = ML
11 = ML
PLEASE HURRY
Solve the inequality and express your answer in interval notation.
x2 + 8x-7<0
Help I’ll give brainlessly find tqs
Your answer for TQS is 43.
89 - 46 = 43
A bag contains 5 red marbles 8 green marbles 6 orange marbles and 11 yellow marbles what is the probability of randomly choosing an orange marble
Answer: 20%
Step-by-step explanation: Add all the marbles together:5 + 8 + 6 +11= 30
Find the probability of orange: 6/30
Now divide 6 by 30= .2
Turn .2 into a decimal: 20%
Is my answer correct?
Answer:
No, x = 3 inStep-by-step explanation:
The area of the rhombus is half the product of its diagonals
A = 1/2(2x*16) = 4816x = 48x = 48/16x = 3[tex]area \: of \: rectangle \\= 4 \times area \: of \:identical \: triangle[/tex]
Explanation :-[tex]area \: of \: rectangle =\\ 4 \times area \: of \:identical \: triangle[/tex]
[tex]48 {in}^{2} = 4 \times \frac{1}{2} \times base \times height \\ 48 {in}^{2} = 2 \times base \times height \\ \frac{48}{2} = 8 \times height \\ \frac{ \cancel{48} {}^{ \: \: 24} }{ \cancel{2}} = 8 \times height \\ \frac{24}{8} = height \\ \frac{ \cancel{24} {}^{ \: \: 3} }{ \cancel{8}} = height \: \\ height = x = 3in \: [/tex]
Find the balance in the account after the given period
$3000 principal earning 5% compounded annually, 8 years
i really need help im confused
Answer:
$1200
Step-by-step explanation:
5% of $3000 = $150
multiply 8 by $150 = $1200
Help if you understand thanks
Step-by-step explanation:
Table A represents an arithmetic sequence with a common difference d=+7.5
so for x=4, it's y³+7.5=25+7.5=32.5
for x=5, it's y⁴+7.5=32.5+7.5=40
Table B represents a geometric sequence with a common ratio r=4, so you're essentially multiplying by 4.
for x=4, y⁴=y³×4=160×4=640
for x=5, y⁵=y⁴×4=640×4=2560
A train track through a mountain is 1600 feet long and makes an angle of 1.6 with the horizontal. What is the change in elevation from one end of the tunnel to the other.
Step-by-step explanation:
law of sine :
a/sinA = b/sinB = c/sinC
with the sides and correlating angles being always opposite to each other.
we are dealing with a right-angled triangle here.
the train track is the Hypotenuse (the side opposite of the 90° angle) : 1600 ft.
the horizontal level "connection" from beginning to the end of the track is one leg, and the elevation difference at the end of the track is the second leg.
the 2 legs enclose a 90° angle, as the elevation goes straight up from the horizontal level.
so, we have
1600/sin(90) = elevation difference / sin(1.6)
sin(90) = 1
1600 = elevation difference / sin(1.6)
elevation difference = 1600 × sin(1.6) =
= 1600 × 0.027921639... =
= 44.67462196... ft
≈ 44.7 ft
Can someone help me with this wuestion please
please can i have help answering the question in the picture
Hey there!
Answer: [tex] \Rightarrow \sf{\frac{x+3}{x -2}}[/tex]
[tex] \rightarrow \sf{ \frac{ {x}^{2} + 5x + 6 }{ {x}^{2} - 4 } }[/tex]
[tex] \rightarrow{ \rm{factorise} \sf{ \frac{ {x}^{2} + 5x + 6 }{ {x}^{2} - 4 } } = \frac{(x + 2)(x + 3)}{ {x}^{2} - 4} = \frac{(x + 2)(x + 3)}{(x + 2)(x - 2)} = \Rightarrow \sf{\frac{x+3}{x -2}}}[/tex]
A swimmer speeds up 1.9 m/s to 3.8 m/s during the last 11.0 seconds of the race. What is the acceleration of the swimmer?
Initial speed (v) = 1.9m/s
Final speed (u) = 3.8m/s
Time (t) = 11 s
Formula Used :-[tex]v = u + a×t [/tex](a = acceleration)
➾ [tex]a = {\frac{u-v}{t}}[/tex]
Solution:-[tex]a = {\frac{u-v}{t}}[/tex] (putting the value of v, u and t from above)
➾ [tex]a = {\frac{3.8-1.9}{11}}[/tex]
➾ [tex]a = {\frac{1.9}{11}}[/tex]
➾ [tex]a = 0.17 m/s (approx.)[/tex]
Therefore, the acceleration rate = 0.17m/s.
What is the equation of a line that is perpendicular to y = x + 4 and passes through (–2,8)?
Answer:
y= -x+6
Step-by-step explanation:
G1xG2= -1
G2= -1
-1 = (y-8)
-------
(x+2)
-1 (x+2)=y-8
-x-2=y-8
-y=x+2-8
y= -x+6
A map is placed on a coordinate grid. On the map, city 1 is located at the
point (35, 78), and city 2 is located at the point (47, 122). What are the
coordinates of a city located halfway between city 1 and city 2?
Answer:
its b trust me i had that one (12,44)
Step-by-step explanation:
Find the area of a circle whose radius is 3 1/2(three whole number one over two)
Answer:
38.5 in²
Step-by-step explanation:
Area of circle= πr², where r is the radius
Substitute the value of the radius into the formula above:
Area of circle
= π(3.5)²
= 12.25π
= 38.5 in² (3 s.f.)
Use the Law of Sines to solve (if possible) the triangle. If two solutions exist, find both. Round your answers to two decimal places. (If a triangle is not possible, enter IMPOSSIBLE in each corresponding answer blank. ) A = 55°, a = 10. 1, b = 12. 3
Case 1
B
C
c
Case 2
B
C
c
A = 55°, a = 10. 1, b = 12. 3
The values of the solution for the triangle is A = 55°, a = 10. 1, b = 12. 3, B = 86.01°, c = 7.68 and C = 39°
What is sine rule?
Sine rule is used to show the relationship between the sides and angles of a triangle. It is given as:
a/sinA = b/sinB = c/sinC
Where A,B,C are the angles and a,b and c are the opposite sides to the angles.
1)
A = 55°, a = 10. 1, b = 12. 3
10 / sin(55) = 12.3 / sinB
B = 86.01°
A + B + C = 180° (angle in triangle)
55 + C + 86 = 180
C = 39
10 / sin(55) = c / sin(39)
c = 7.68
The values of the solution for the triangle is A = 55°, a = 10. 1, b = 12. 3, B = 86.01°, c = 7.68 and C = 39°
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Between 11 P.M. and 8:45 A.M., the water level in a swimming pool decreased by 3/8
. Assuming that the water level decreased at a constant rate, how much did the water level drop each hour?
What is the slope of a line parallel to the line whose equation is 3x + 3y = -36.
Fully simplify your answer.
Answer:
-1
Step-by-step explanat
yes
Write the equation for circle below
Answer:
Step-by-step explanation:
What is the measure of ∠H?
1. 115
2. 65
3. 50
4. 25
Answer:
2
Step-by-step explanation:
Since FG is congruent to FH, angles FGH and FHG are congruent since angles opposite congruent sides in a triangle are congruent.
Two of the interior angles of a polygon are 134° and 156° and each of the remaining angles is 151°. Find the number of sides of the polygon.
The number of sides of a polygon with interior angles of 134° and 156° and each of the remaining angles as 151° is 12 sides.
Polygons
The sum of the exterior angles of a polygon is 360°. For regular polygons the exterior angles are the same (congruent).
Therefore,
Interior angle + exterior angle = 180°
Therefore,
156 + x = 180
x = 180 - 156
x = 24°
134 + y = 180
y = 180 - 134
y = 46°
180 - 151 = z
z = 29°
sum of exterior angle = 360 degrees.
Therefore,
360 - 46 - 24 = 290°
Then,
290 / 29 = 10
The number of sides = 10 + 2 = 12 sides
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Elaine is buying materials for draperies. If the smaller panel costs 79$ for the 24 square feet shown, what should Elaine expect to pay for the larger panel after the dimensions are doubled
The diameter of a circle is 36 millimeters. What is the circle's area? Use 3.14 for .
Answer:1017.36[tex]ml^{2}[/tex]
Step-by-step explanation:
Diameter= 36ml
radius=diameter/2
R=36 ÷2
R=18ml
Area=π[tex]r^{2}[/tex]
Area=3.14 x [tex]18^{2}[/tex]
Area=1017.36[tex]ml^{2}[/tex]
Answer:
Step-by-step explanation:
If a person who is 5.5 feet tall throws a baseball into the air, the path can be modeled using the table of values, where x represents the time in seconds and y is the height of the ball in feet.
(table is in the photo below)
Which quadratic equation models the data in the table?
y= −0.25x2 + 2x + 5.5
y= −0.35x2 + 2x + 5.5
y= −0.27x2 + 3x + 5.5
y= −0.15x2 + 2x + 5.5
Answer:
The answer is D : y= −0.15x^2 + 2x + 5.5
Step-by-step explanation:
i got it right on my test
The quadratic equation represented by the table is y = -0.15x² + 2x + 5.5
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Quadratic function is in the form y = ax² + bx + c; where a, b and c are constants.
From the table, at point (0, 5.5):
5.5 = a(0)² + b(0) + c (1)
From the table, at point (1, 7.35):
7.35 = a(1)² + b(1) + c (2)
From the table, at point (2, 8.9):
8.9 = a(2)² + b(2) + c (3)
From 1, 2 and 3:
a= -0.15, b = 2, c = 5.5
The quadratic equation represented by the table is y = -0.15x² + 2x + 5.5
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#SPJ2
5. Determine the rotation around the origin that was performed to transform the preimage on the left to its image on the right.
Preimage
Image
A. R90°
B. R270°
C. R-270°
D. R-180°
Answer:
It was rotated D. -180 degrees
Step-by-step explanation:
the reason that it was -180 degrees is because when you look at the points, points A and B were perfectly flipped around and on the other side of (0,0)
i need help understand my math so when finding the volume of a cylinder with a 10 inches in diameter and a 10 inches high while using this formula V=3.1.4*r^2*h why is there a five should it not be 10
V=3.1.4*5^2*10
Answer:
Step-by-step explanation:
The volume of a cylinder is the area of the circle times the hight of the cylinder.
Thus...
3.14*5^2*10=785
The reason it is 5 and not 10 is because it gives you the diameter in the word problem and the equation asks for the radius.
So you know that the radius is always half the diameter and half 10 which gives you 5.
Hope this helps!!!
Please answer asap, 30+ points
Step-by-step explanation:
please mark me as brainlest
Solve w2 + 2 w - 24 = 0.
Answer:
w= -6
w= 4
Step-by-step explanation:
w= -b sqrt(b^2-4ac)
2a
let
a=1
b=2
c= -24
substitute values~
[tex]==========================================[/tex]
In order to solve this equation for w, we need to factor it.
First, let's think of 2 numbers that multiply to -24 and add to 2.
These numbers are -4 and 6.
Check:
6×(-4)=-24 ✓
6+(-4)=6-4=2✓
Now, factor:
( ) ( )
That's how it should look like:
(w+ )( w- )
Now, instead of the blanks, plug in -4 & 6:
(w-4)(w+6)
Now, set each factor equal to 0:
w-4=0
w=4
w+6=0
w=-6
[tex]====================================[/tex]
Notes:-Hope everything is clear.Let me know if you have any questions!Enjoy your day!Always remember: Knowledge is power!Answered by:-Nickname:-
[tex]\rule{1}{1}~\rule{2}{2}\mathbb{DiAmOnD}[/tex]Determine if the equation has no solution,one solution, or infinite many solution.
Give an explanation step by step.
-2(11-12)=-4(1-6x)
Answer:
Step-by-step explanation:
-2(11-12)=-4(1-6x) becomes -2(-1) = -4(1 - 6x)
Next, we divide both sides by -2, obtaining -1 = 2(1 - 6x), and then
-1 = 2 -12x, or
-3 = -12x
Simplifying this result, we get 1 = 4x, or x = 1/4
We conclude that -2(11-12)=-4(1-6x) has ONE solution, which is x = 1/4