Answer:
[tex]tan(D) = \frac{21}{20}[/tex]
Step-by-step explanation:
Step(i):-
Given in triangle DOC
Cos(D) = 20/29
now
[tex]Sec(D) = \frac{1}{Cos(D)} = \frac{1}{\frac{20}{29} } = \frac{29}{20}[/tex]
We Know that trigonometry formulas
[tex]sec^{2}(D) -tan^{2} (D) =1[/tex]
[tex]tan^{2} (D) = sec^{2} (D) -1[/tex]
= [tex](\frac{29}{20} )^{2} -1[/tex]
= [tex]\frac{841 -400}{400} = \frac{441}{400}[/tex]
[tex]tan^2(D) = \frac{441}{400}[/tex]
[tex]tan(D) = \sqrt{\frac{441}{400} } = \frac{21}{20}[/tex]
[tex]tan(D) = \frac{21}{20}[/tex]
This object is made with five identical cubes. each cube edge if 4 centimeters long, What is the surface area of this object in square centimeters.
Answer:
480 cm ^ 2
Step-by-step explanation:
To calculate the surface area of the figure, we must calculate the surface area of the cube, we know that they are identical, therefore, calculating the area of one is sufficient.
We have that the surface area of a cube is:
A = 6 * a ^ 2
where a is the edge, we know that if it is a cube all its sides are equal, in this case it is 4 centimeters, if we replace we have:
A = 6 * (4 ^ 2)
A = 96
96 square centimeters is the area of a cube, but since the area of the object would be the sum of the area of all the cubes, then:
AT = 96 * 5
AT = 480 cm ^ 2
The surface area of the object formed with the cubes is 480 cm ^ 2
Jacob rolls a number cube numbered 1 to 6. What is the likelihood Jacob rolls a number less than 7?
write it as a product: -[tex]ax^{6}[/tex]+[tex]\frac{1}{8}[/tex]
Answer:
[tex]\frac{-abx^{6}+1 }{b}[/tex]
Step-by-step explanation:
heeeeeeeeeeeeeeellllllllllllllllllllpppppppppp
Answer:
Keep the circle closed like it is and draw an incresing line (towards the positive numbers)(basically towards the right) with the arrow at the end of it
Step-by-step explanation:
A bedroom wall is to be painted around a window as shown below.
A rectangle with length 11 feet and width 10 feet. A smaller rectangle with length 3 feet and width 2 feet is cut out of the larger rectangle.
What is the area of the wall that will be painted?
A.6 feet squared
B.104 feet squared
C.110 feet squared
D.116 feet squared
Answer:B.104 feet squared
Step-by-step explanation:
First find the area of the rectangle 11×10=110 then find the area of the window 3×2=6 then subtract 110-6=104
Answer:
B
Step-by-step explanation:
What’s the correct answer for this?
Answer:
i think it's B
Step-by-step explanation:
hope this helps
Answer:
B
Step-by-step explanation:
A median cuts a triangle into half (2:1) so the triangle is divided into two equal parts.
find the value of x. Round the length to the nearest meter
Answer:
we need a picture to help
10^2What is the answer
Answer:
100
Step-by-step explanation:
10 times 10=100
Answer: 100
Step-by-step explanation: The 2 in this problem means that we are going to multiply 10 twice in order to find the answer.
When we multiply a number by itself, it's called squaring.
So any number squared is that number times itself.
So 10² is just 10 · 10 or 100.
The GCF of 18 and 30 is
Answer: 6
Step-by-step explanation:
Answer:
The answer is 6, 6 is the GCF
Step-by-step explanation:
6 is the the Greatest Common Factor (GCF) because 6 can go into both numbers 18 and 30 evenly, 6 can multiply with 3 for the product to be 18 and 6 can multiply with 6 for the product to be 30. I hope this help. : )
The volume of a cone is 3x* cubic units and its height is x units.
Which expression represents the radius of the cone's base, in units?
O 3x
6x
370x2
O 90X2
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Answer:
The radius of a cone is [tex]\dfrac{3}{\sqrt{\pi} }\ \text{units}[/tex].
Step-by-step explanation:
The formula of the volume of a cone is given by :
[tex]V=\dfrac{1}{3}\pi r^2 h[/tex]
r is radius of cone
h is height of cone
We have,
Volume of a cone is 3x cubic units and height is x units. Putting the values of volume and height such that,
[tex]r=\sqrt{\dfrac{3V}{\pi h}}\\\\r=\sqrt{\dfrac{3\times 3x}{\pi x}} \\\\r=\sqrt{\dfrac{3\times 3}{\pi}}\\\\r=\sqrt{\dfrac{9}{\pi}}\\\\r=\dfrac{3}{\sqrt{\pi} }\ \text{units}[/tex]
So, the radius of a cone is [tex]\dfrac{3}{\sqrt{\pi} }\ \text{units}[/tex].
Find the constant of proportionality (r)(r)left parenthesis, r, right parenthesis in the equation y=rxy=rxy, equals, r, x.The quantities xxx and yyy are proportional.
xxx yyy
777 353535
121212 606060
202020 100100100
Find the constant of proportionality (r)(r)left parenthesis, r, right parenthesis in the equation y=rxy=rxy, equals, r, x.
Answer:
5
Step-by-step explanation:
Solving the given equation for r, we get ...
y = rx
y/x = r
Then we can find r from any pair in the table:
r = 35/7 = 5
The constant of proportionality is 5.
Answer:
y=3
Step-by-step explanation:
i did it in khan academy :)
2. Patricia, Luca and Dauda shared an amount of money such that, Patricia had twice as much
as Dauda and Luca had GH¢600.00 more than Dauda. If Patricia had GH¢2,000.00, what
was the average share, to the nearest GH¢?
Answer:
GH¢1533
Step-by-step explanation:
Let d represent the amount of Dauda's share in GH¢. Then the problem statement tells us ...
Patricia's share is 2d = 2000
Luca's share is d+600
From Patricia's share, we know Dauda's share is ...
d = 2000/2 = 1000
and Luca's share is ...
1000 +600 = 1600
__
The average share is the sum of these, divided by three:
(2000 +1000 +1600)/3 = 4600/3 = 1533.33
To the nearest GH¢, the average share is GH¢1533.
ice, as long as it stays in its frozen form, will not lose its shape or its volume. Why?
solid form
Step-by-step explanation:
it will not loose shape because it is in solid form
Answer:
It freezes it self in the solid state
Step-by-step explanation:
whats the answer for 45 meters every 5 seconds = meters per second
Answer:
9 meters every second
Step-by-step explanation:
45/5=9
5/5=1
9:1
if a cube measures 5.3 cm on each side and has a mass of 280 grams how much is its volume
Answer:
8.1 g/cm
Step-by-step explanation:
find the area of the attached image below. PLEASE HELP ASAP!
Answer:I think 15
Step-by-step explanation:
Identify two Pythagorean triples using the known triple 9, 40 , 41. *
Your answer
Step-by-step explanation:
[tex] {a}^{2} + {b}^{2} = {c}^{2} \\ {9}^{2} + {40}^{2} = {41}^{2} \\ 81 + 1600 = 1681 \\ 1681 = 1681[/tex]
Three cube-shaped boxes are stacked one above the other. The volumes of two of the boxes are 1,331 cubic meters each, and the volume of the third box is 729 cubic meters. What is the height of the stacked boxes in meters?
A.
19
B.
29
C.
30
D.
31
Answer:
D. 31
Step-by-step explanation:
The edge dimension of a cube is the cube root of the volume. For the two boxes that are 1331 m³, the height is ...
∛(1331 m³) = 11 m
For the box that is 729 m³, the height is ...
∛(729 m³) = 9 m
Then the total height of the stack of boxes is ...
11 m + 11 m + 9 m = 31 m
Answer:
31
Step-by-step explanation:
I took the test on Edmentum, have a good day hope it helps :)
a roll of dimes is 5. if the diameter of a dime is 18 millimeters and the height of each dime is 1.4 millimeters, what is the approximate volume of the roll of dimes?
Answer:
17.8 cm³
Step-by-step explanation:
The radius of the roll is half the diameter, so is 9 mm. The length of the roll of 50 dimes is 1.4·50 mm = 70 mm. With these dimensions, we can use the formula for the volume of a cylinder:
V = πr²h = π(9 mm)²(70 mm) = 5670π mm³ ≈ 17,812.8 mm³
Perhaps a more convenient unit of measure is cm³. Each cm³ is 1000 mm³, so the volume of a roll of dimes is approximately ...
V ≈ 17.8 cm³
expand and simplify (2x-1)(x-3)
Answer:
Expand the polynomial using the FOIL method.
2 x 2 − 7 x + 3
Step-by-step explanation:
A technique for distributing two binomials. The letters FOIL stand for First, Outer, Inner, Last. First means multiply the terms which occur first in each binomial, Outer means multiply the outermost terms in the product, Inner means multiply the innermost terms, and Last means multiply the terms which occur last in each binomial.
An algebraic expression consisting of one or more summed terms, each term consisting of a constant multiplier and one or more variables raised to integral powers.
After a special medicine is introduced into a petri dish full of bacteria, the number of bacteria remaining in the dish decreases rapidly. The relationship between the elapsed time,t, in seconds, and the number of bacteria, B(t), in the petri dish is modeled by the following function:
B(t)=9,300•(1/64)^t
Complete the following about the rate of change of the bacterial culture. Round your answer to two decimal places.
The bacterial culture loses 1/2 of its size every _________ seconds.
Answer:
0.17
Step-by-step explanation:
The function can be rewritten as ...
B(t) = 9300·((1/2)^6)^t = 9300·(1/2)^(6t)
In order to multiply the number of bacteria by 1/2, the value of the exponent 6t must be equal to 1:
6t = 1
t = 1/6 ≈ 0.166667 ≈ 0.17
The culture loses half its size every 0.17 seconds.
.17
Step-by-step explanation:
1.
Find the midpoint of MN given M(3,-1) and N(11,-9)
simplify using order of operations
17-5⋅(3-4)+(-8)⋅(-3)
Answer:
46
Step-by-step explanation:
17−5(3−4)+(−8)(−3)
=17−(5)(−1)+(−8)(−3)
=17−(−5)+(−8)(−3)
=22+(−8)(−3)
=22+24
=46
Each parking spot is 8 feet wide. A parking lot has 24 parking spots side by side. What is the width (measured in yards) of the parking lot?
Answer: 64 yards I think
Step-by-step explanation:
Answer: If it's just 8 feet wide, 64 yards, if 8 and 1/2, 68 yards.
Step-by-step explanation:
help timed help plss!!
Answer:
V1 = Base x Height = 43 x 15 = 645 (mm3)
V2 = Base x Height = 12 x 7 = 84 (mm3)
Hope this helps!
:)
Answer:
1) 645 mm³
2) 84 cm³
Step-by-step explanation:
Volume of prism:
Base area × height
1) 43 × 15 = 645 mm³
2) 12 × 7 = 84 cm³
According to the Rational Root Theorem, Negative seven-eighths is a potential rational root of which function?
Answer:
f(x)=24x^7+3x^6+4x^3-x-28
Step-by-step explanation:
Which equation represents the line that passes through points (1, –5) and (3, –17)?
A. y = -6x + 1
B. y = 6x + 1
C. y = -6x - 1
D. y = 6x - 1
Answer:
C
Step-by-step explanation:
I’m rusty with my math, so I’m not 100% sure this is correct. My best attempt.
(1,-5) & (3,-17)
1=1x, -5=1y, 3=2x, -17=2y
Formula is y2-y1/x2-x1
-17 - -5 = -12
3 - 1 =2
So -12/2 = -6
Formula for the line is
y-y1 = m (x-x1)
In this equation m=-6
Y - -5 = -6 ( x - 1 )
Answer:C
Step-by-step explanation:
Please help if you can
Answer:
4
Step-by-step explanation:
We just have to find the corresponding d(t) value when t=2. From the graph, we can see that when t = 2, d(2) = 4. Hope this helps!
how do I simplify this
Answer:Use Distributive property
can someone help me with my homework please!!!
Answer:
c
Step-by-step explanation:
You can either try each answer on the table above, or find the slope then find the function/equation.
c-y1=s(n-x1)
(x1,y1) being any pair from the table and s being the slope.
