Answer:
9.9cm
Step-by-step explanation:
If side h cm is opposite of 51° and side 8cm is adjacent to 51°, use the tangent function to calculate the opposite side h cm:
tan(51°)=opposite/adjacent=h/8
tan(51°)=h/8
8tan(51°)=h
9.879177252=h
9.9=h
Therefore, the value of h is 9.9cm
Who is correct?
PLease answer ASAP!! pls (:
Answer: Isaiah is correct because you can never be sure whether it’s gonna be a queen but you can be sure that the card could be red
Step-by-step explanation:
Multiple of 30 degrees
Answer:
69
Step-by-step explanation:
Answer:
Step-by-step explanation:
Incomplete question!
But here are some "multiples of 30 degrees:"
60, 90, 120, 180, 150, and so on. Start with "30 degrees" and multiply that by various positive integers: 2, 3, 4, 6, 5, and so on, to obtain "multiples of 30 degrees."
The volume of a cylinder is 117.1 cubic feet, and its height is 15 ft. Find the diameter of the base of the cylinder.
Answer:
3.15 ft
Step-by-step explanation:
V
Volume of a cylinder: πr²h. Solving for r², we get r² = ---------
πh
Here, we get r² = (117.1 ft³) / (3.14·15 ft) = 2.48 ft² and r = √(2.48 ft²), or
1.58 ft, so that the diameter is 2r, or 3.15 ft
The diameter of the base of the cylinder is 3.15 ft.
You want to estimate the number of students in your school who support extra funding for the music club. You survey every second student who enters the school.
Determine whether the sample is biased or unbiased.
Answer: It’s UNBIASED!
Step-by-step explanation:
In \triangle UVW,△UVW, \overline{VW}\cong \overline{UV}
VW
≅
UV
and \text{m}\angle V = 71^{\circ}.m∠V=71
∘
. Find \text{m}\angle U.m∠U.
Answer:
m∠U = 54.5°
Step-by-step explanation:
ΔUVW is an isosceles triangle. The angles opposite UV and VW are congruent.
That means m∠U = m∠W
Since the measures of the angles of a triangle have a sum of 180, then
m∠U + m∠W + m∠V = 180
m∠U + m∠U + 71 = 180
2 m∠U = 109
m∠U = 54.5°
PLZ HELP!!!!!
Calculate x
Answer:
x = 31
Step-by-step explanation:
The two triangles are similar, so [tex]\triangle{NPO} \sim \triangle{YZO}[/tex].
Vertex N matches up with vertex Y.
Vertex P matches up with vertex Z.
Vertex[tex]\frac{NO}{YO}=\frac{1}{4}\\\\\frac{x}{124}=\frac{1}{4}\\\\4x=124\\\\x=31[/tex] O matches up with itself.
Corresponding sides are in proportion. To find the proportion between the two triangles, you use known sides from each.
[tex]\frac{NP}{YZ}=\frac{23}{92}=\frac{1}{4}[/tex] meaning the small triangle is 1/4 the size of the large one.
To find x , notice that it is side NO which corresponds to side YO from the large triangle.
A culture of 100 bacteria grows at a continuous rate of 20%. Two hours later. 60 of the same type of bacteria are placed in a culture that allows a 30% growth rate. After how many hours do both cultures have the same population? Explain your answer.
Answer:
Both cultures will have the same population after 11 hours.
Step-by-step explanation:
Exponential equation for population growth:
The exponential equation for population growth is given by:
[tex]P(t) = P(0)(1+r)^t[/tex]
In which P(0) is the initial population and r is the growth rate, as a decimal.
A culture of 100 bacteria grows at a continuous rate of 20%.
This means that [tex]P(0) = 100, r = 0.2[/tex]. So
[tex]P(t) = P(0)(1+r)^t[/tex]
[tex]P_{1}(t) = 100(1+0.2)^t[/tex]
[tex]P_{1}(t) = 100(1.2)^t[/tex]
The other culture starts to hours later, and we want to take that time as a parameter. So
[tex]P_{1}(2) = 100(1.2)^2 = 144[/tex]
Which means that when culture 2 growth starts, the population size of culture 1 is described by the following equation:
[tex]P_{1}(t) = 144(1.2)^t[/tex]
Two hours later 60 of the same type of bacteria are placed in a culture that allows a 30% growth rate.
This means that [tex]P(0) = 60, r = 0.3[/tex]. So
[tex]P(t) = P(0)(1+r)^t[/tex]
[tex]P_{2}(t) = 60(1+0.3)^t[/tex]
[tex]P_{2}(t) = 60(1.3)^t[/tex]
After how many hours do both cultures have the same population?
This is t for which:
[tex]P_{1}(t) = P_{2}(t)[/tex]
So
[tex]144(1.2)^t = 60(1.3)^t[/tex]
[tex]\frac{(1.3)^t}{(1.2)^t} = \frac{144}{60}[/tex]
[tex](\frac{1.3}{1.2})^t = \frac{144}{60}[/tex]
[tex]\log{(\frac{1.3}{1.2})^t} = \log{\frac{144}{60}}[/tex]
[tex]t\log{\frac{1.3}{1.2}} = \log{\frac{144}{60}}[/tex]
[tex]t = \frac{\log{\frac{144}{60}}}{\log{\frac{1.3}{1.2}}}[/tex]
[tex]t = 11[/tex]
Both cultures will have the same population after 11 hours.
Please help,
NO LINKS PLEASE
Answer:the photo is to bleary
Step-by-step explanation:
What is the common ratio between successive terms in the sequence? 27,9,3,1, 1/3, ,1/9, 1/27
Answer:
1/3
Step-by-step explanation:
Take the second term and divide by the first
9/27 = 1/3
Take the third term and divide by the second
3/9 = 1/3
Check each subsequent ratio, we can see the common ratio is 1/3
Callie uses leather cord to make necklaces. She has a piece of leather cord that has a length of 4 yards. Each necklace will have a length of 28 inches. How many necklaces can Callie make?
A. 32
B. 24
C. 4
D. 5
The grocery store has 19.2 pounds of rice. If the rice is divided equally into 8 bags, how many pounds of rice will be in each bag?
Answer:
2.4 pounds
Step-by-step explanation:
19.2 pounds÷ 8 bags= 2.4 pounds per bag
A candy bar in the shape of a triangular prism has a length of 11 inches. The area of the base of the candy is 1.5 square inches. What is the volume of the candy in cubic inches?
Answer:
6.5
Step-by-step explanation:
WHICH EXPRESSION HAS THE GREATEST VALUE
Answer:
The second, 16^3/2
Step-by-step explanation:
The first is equal to 16
The second is equal to 64
The third is equal to 16
The fourth is equal to 16
The required, greatest volume among the given number is [tex]16^{3/2}[/tex].
What is simplification?Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression. The goal is to obtain an expression that is easier to work with, manipulate, or solve.
Here,
The given number,
∛64² simplified to 16,
[tex]16^{3/2}[/tex] simplified to 64.
√16² simplified to 16
∛8⁴ simplified to 16
Thus, the required, greatest volume among the given number is [tex]16^{3/2}[/tex].
Learn more about simplification here:
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What is the median of 8, 7.5, 6, 5.75, 10.25, 13.75, 6.5, 8.75, 9, 8, 9.25, 10, 8.25, 8.25, 9.25, 11, 6.75, 7, 9.5, 8.5
Answer:
8.375
Step-by-step explanation:
5.75,6, 6.5, 6.75, 7, 7.5, 8, 8, 8.25, 8.25, 8.5, 8.75, 9, 9.25, 9.25, 9.5, 10, 10.25, 11, 13.75
8.25 + 8.5 = 16.75
16.75/2 = 8.375
the following image is a trapazoid.if XW is congruent YZ and measaure of m = 72 degrees. calculate the measure of X
Answer:
opposite angle of trapezoid is supplementary
<Z+<X=180°
<X=180°-72°
<x=108°
is your answer
The required value of the measure of the angle x is 108°. Option A is correct.
The following image is a trapezoid. if XW is congruent to YZ and measure of m = 72 degrees. calculate the measure of X is to be determined.
The angle can be defined as the one line inclined over another line.
What is a trapezoid shape?A trapezoid is defined as a quadrilateral with one couple of opposite sides parallel. the sum of the opposite angles is 180. Only one pair of opposite sides should be parallel not all the sides if all sides are parallel then the shape became a rectangle or rhombus.
Since the sum of the opposite angles in trapezoids is 180°
so,
x + 72° = 180°
x = 180° - 72°
x = 108°
Thus, the required value of the measure of the angle x is 108°.
Learn more about Angles here:
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Peter has an average daily balance on his credit card of $127.50. His credit card charges 14.99% annual interest. What will his monthly finance charge be
Answer:
$1.59
Step-by-step explanation:
monthly finance charge = average daily balance x monthly interest
monthly interest = 14,99% / 12 = 1.249%
1.249% x $127.50 = $1.59
From an angle of depression of 61 degrees, John
watches his friend approach his building while standing
on the rooftop. The rooftop is 17 m from the ground,
and John's eye level is at about 2m from the ground.
What is the distance between John's friend and the
building?
10.6
34.3
5.5
10.5
Answer:
10.53
Step-by-step explanation:
Given :
Height of building = 17m
John's eye level = 2 m
Total height (including eye level) = 17+2 = 19m
Angle of depression, θ = 61°
Let distance between John's friend and building = d
Using trigonometry :
Tan θ = opposite / Adjacent
Tan 61° = 19 / d
1.8040477 = 19 / d
d = 19 / 1.8040477
d = 10.53
Which number is the additive inverse of 47? Hi. SI56 -47 1 W om 04
Answer:
4 [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
The additive inverse is the value that must be added to the number to give zero.
- 4 [tex]\frac{1}{4}[/tex] + 4 [tex]\frac{1}{4}[/tex] = 0
↑ additive inverse
A cube has edge lengths of 11 ft. What is the volume of the cube?
Answer:
1331 ft³
Step-by-step explanation:
The volume of a cube = (edge length)³
From the above question,
Edge length = 11 ft
The volume of the cube = (11 ft)³
= (11 ft × 11 ft × 11 ft)
= 1331 ft³
The volume of the cube = 1331 ft³
which can't be lenght side of triangle
Answer:
C. sides of 3, 4 and 7
can't form a triangle.
the longest side (7) must be shorter than the sum of the other 2 sides.
Step-by-step explanation:
whats 10.50x +64=300
Answer:
74.5
Step-by-step explanation:
how do i factor this trinomial 5y^2 — 7y — 6
Answer:
(5y+3) x (y-2)
Step-by-step explanation:
5y^2-7y-6
5y^2+3y-10y-6
y(5y+3(-2(5y+3)
(5y+3) x (y-2)
Find the lateral area of the cone to the nearest whole
number.
Answer:
lateral area = pi x radius x slant height
slant height = 40^2 + 30^2 = 1600 + 900= [tex]\sqrt{2500}[/tex] = 50
3.14 x 30 x 50 = 4710m^3
Hope that answers your question
Don't hesitate to leave a comment if you are confused about something
Step-by-step explanation:
What are some sources of new mathematical symbols that have been widely used?
put these fractions from least to greatest please!! 2/3 7/12 17/24 3/4
Answer:
7/12 < 2/3 < 17/24 < 3/4
Step-by-step explanation:
least to greatest
What is the total percent of a pie or circle graph
Answer:
100%
Step-by-step explanation:
0.5 ft
0.4 ft
0.8 ft
Area of base =
Answer:
it may can be 0.16 ft
Step-by-step explanation:
0.5 x 0.4 = 0.2
0.8 x 0.2 = 0.16
How many diagonals does a convex angle have?
Given triangle ADE shown below with overline BC || overline DE . if AB=16, BD=8, and DE = 30, which of the following is the length of overline BC
1) 20
2) 60
3) 15
4) 22