Answer:
10
Step-by-step explanation:
tan30°=P/B
tan30°=P/10√3
1/√3=P/10√3
1/√3×10√3=P
.:P=10
j = 10
Step-by-step explanation:
use the definition of tangent of an angle:
tan 60 = opp/hyp = (10√3)/j
Solving for j,
j = (10√3)/tan 60
But tan 60 = √3 so we can write j as
j = (10√3)/√3
= 10
help meh please!!!!!!!!!!
Select the correct answer.
Which equation is equivalent to the formula below?
y = a (x -h )2 + k
16. The list below shows the different choices of pizza at
the local pizza shop:
.
.
pepperoni: 11
supreme: 7
cheese: 6
Hawaiian: 3
Based on these results, if 189 pizzas were sold, then how
many could be expected to be cheese?
Answer:
162
Step-by-step explanation:
189-11=178
178-7=171
171-6=165
165-3=162
which statement is true
Can somebody help me with the geometry equation.
Answer:
[tex]m\widehat{VU}=120^{\circ}[/tex]
Step-by-step explanation:
The angle [tex]\angle TUV[/tex] forms arc [tex]\widehat{TV}[/tex]. The measure of this arc is twice the measure of angle [tex]\angle TUV[/tex], since [tex]U[/tex] is a point on the circle. Since [tex]\overline{TU}[/tex] forms an arc [tex]\widehat{TU}[/tex], we can set up the following equation:
[tex]\widehat{TV}+\widehat{VU}=\widehat{TU}[/tex].
Since arc TU represents half of a circle and there are 360 degrees in a circle, we can substitute the following values and solve for the measure of arc VU:
[tex]\\2\cdot 30^{\circ}+\widehat{VU}=180^{\circ},\\60^{\circ}+\widehat{VU}=180^{\circ},\\m\widehat{VU}=\boxed{120^{\circ}}[/tex]
will mark brainliest
Consider the sequence 3/4, 4/5, 5/6, 6/7...
Which statement describes the sequence?
The sequence diverges.
The sequence converges to 1.
The sequence converges to ∞.
The sequence converges to –∞.
Answer:
Step-by-step explanation:
Notice that each new term is closer to +1 than was the previous term. We can conclude tat the sequence converges to 1.
what is the ratio of 150 and 175
Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form. 20 10. 5
Given:
Consider the given terms of the sequence are:
20, 10, 5, ...
To find:
The type of sequence (arithmetic or geometric) and the common difference / ratio in simplest form.
Solution:
We have,
20, 10, 5, ...
Difference between consecutive terms are:
[tex]10-20=-10[/tex]
[tex]5-10=-5[/tex]
Since [tex]-10\neq -5[/tex], therefore the given sequence has no common difference, it means the given sequence is not arithmetic.
Ratio between consecutive terms are:
[tex]\dfrac{10}{20}=\dfrac{1}{2}[/tex]
[tex]\dfrac{5}{10}=\dfrac{1}{2}[/tex]
The given sequence has a common ratio [tex]\dfrac{1}{2}[/tex], it means the given sequence is a geometric sequence.
Therefore, the given sequence is a geometric sequence with common ratio [tex]\dfrac{1}{2}[/tex] it is also written as 0.5.
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Answer:
the bin 60-69 contain the most data values
Answer:
third option is the right one
Step-by-step explanation:
a. 96°
b. 132°
c. 137°
d. 89°
Answer:
c. 137°
Step-by-step explanation:
!!HELP PLEASE NO LINKS!!Select the graph of y = 2 cos (4x) +1
To solve this problem, we simply need to plot the cosine graph.
Graph of CosineThe graph of cosine can easily be plotted and we can compare both together.
Kindly check the attached image and we can easily see the graph of
[tex]y = 2cos(4x) + 1[/tex]is option A.
Comparing the asymptotes together, it reveals more information on that.
Learn more on graph of cosine here;
https://brainly.com/question/20700450
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I NEED IMMEDIATE HELP!! THIS IS DUE IN TOMORROW MORNING
Answer:
Rotation by 90 degrees clockwise about the point (2,2)
Step-by-step explanation:
Hope this is useful to u
In a sale the original prices are reduced by 20%.
Calculate the original price of a truck that has a sale price of $14400.
Answer:
17260
Step-by-step explanation:
multiply 14400 by 20%
After that add 14400 and 2880together
and you got the answer
Answer:
The original price would be $17,280
Step-by-step explanation:
14,400× 0.2= 2,880
14,400+ 2,880= 17,280
Please help as soon as possible:)
Answer:
I think is SSS
Step-by-step explanation:
I haven't had to take geometry yet, but from my understanding, SSS means the all the side have the same ratio in both? They are all the same ration, just dilated to different sizes, so I think its SSS
To the nearest mile, what is the total distance that he ran?
6 miles
8 miles
O 11 miles
25 miles
Answer:
where's the picture. to the nearest mile...
Step-by-step explanation:
;-;
Determine the range of the third side of a triangle given that two sides are 14 inches and 8 inches long
Answer:
Let the triangle be ABC
Let AB = 14 and BC = 8
By Pythagoras theorem ,
[tex]AC^2 = AB^2 + BC^2 = 14^2 + 8^2 = 196 +64 = 260\\AC = \sqrt{260}\ inches[/tex]
Answer:
6 < x < 22
Step-by-step explanation:
Given 2 sides of a triangle then the third side x is in the range
difference of 2 sides < x < sum of 2 sides , that is
14 - 8 < x < 14 + 8
6 < x < 22
P(A/B) = P(ANB)
P(B)
Freshmen
Sophomores
Juniors
Seniors
Boys
3
1
4
2
Girls
7
9
6
5
P(Freshman Boy)
The probability of a freshman being a boy is 3/37.
What is probability?
Probability is a branch of mathematics that deals with the study of randomness and uncertainty in events. It is the measure of the likelihood or chance that an event will occur. Probability is expressed as a number between 0 and 1, where 0 indicates that the event will not occur and 1 indicates that the event will occur with certainty.
The total number of students is:
3 + 1 + 4 + 2 + 7 + 9 + 6 + 5 = 37
The number of freshman boys is 3. Therefore,
P(Freshman Boy) = number of freshman boys / total number of students
P(Freshman Boy) = 3/37
Hence, the probability of a freshman being a boy is 3/37.
To know more about probability visit :
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What is the quotient?
Question 8
Over the last 2.5 years, the water level in a lake has changed by -0.3 feet per year. Scientists predict that the
water level will continue to go down for the next 5 years at a rate of 0.4 feet per year. What rational number
represents the overall change of the water level after 7.5 years?
А
-2.75 feet
B
0.1 foot
..ll Ezekiel Porter
С
-0.7 foot
D
2.75 feet
©2021 Illuminate Education Inc.
Answer:
b answer is correct answer
Is 21 3/7 a rational or an irrational number?
Answer:
Rational
Step-by-step explanation:
This number is rational because it can be expressed as a ratio between two numbers.
How would you find the area of this parallelogram? Describe your strategy.
Answer:
To find the area of a parallelogram, multiply the base by the height.
The formula is: A = B x H where B is the base, H is the height.
Step-by-step explanation:
A, B & C lie on a straight line.
D, C & E lie on a different straight line.
Angle
y
= 96° and angle
z
= 52°.
Work out
x
Answer:
x = 136°
Step-by-step explanation:
We can use a theorem to help us.
Theorem:
The measure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles.
For exterior angle x, the remote interior angles are z and <CBD.
From the theorem, we get this equation.
x = z + m<CBD
We know z = 52°.
We need to find m<CBD.
Angles CBD and y are a linear pair. They are supplementary, so the sum of their measures is 180°. We are given y = 96°.
m<CBD + y = 180°
m<CBD + 96° = 180°
m<CBD = 84°
x = z + m<CBD
x = 52° + 84°
x = 136°
Answer:
x = 136°
Step-by-step explanation:
∠ABD = y = 96°, ∠ABD + ∠DBC must be equal to 180° because they form a straight angle.
[tex]y + B = 180\\96 + B = 180\\B = 180 - 96 = 84[/tex]
∠BDC = z = 52° and ∠DBC = B = 84.
Angles ∠BDC, ∠DBC, and ∠BCD must have a sum of 180° because the sum of the interior angles in a triangle is 180°.
[tex]180=(180 - y) + 52 + C\\180=(180 - 96) + 52 + C\\180 - (52 + 84) = C\\C = 44[/tex]
The interior angle at C is 44. Line DCE forms a straight line, therefore having an angle of 180°. To find x, the sum of x and interior angle C is 180°.
[tex]180 = C + x\\180 = 44 + x\\x = 180-44\\x = 136\\[/tex]
Angle ∠BCE = x = 136.
Jamal has a bag with 5 orange, 4 blue and 3 green marbles. He pulls out one marble without looking, puts it back in the bag and then pulls out another marble. What is the probability that he pulled out an orange marble followed by a green one? Express your answer as a fraction in lowest terms.
Answer:
Step-by-step explanation:
the whole bag is made of 5 orange +4blue+3 green= 12 marbles
P of orange than green = P orange * P green = 5/12 * 3/12 = 15/144 = 5/48
you multiply when the events depend on each other to happen, so for the orange and then green to happen you need the orange and also the green
The radius of a circle is 6 kilometers. What is the length of a 75° arc?
Answer:
7.85km
Step-by-step explanation:
Given data
Radius= 6km
θ= 75°
Arc length = 2πr (θ/360)
substitute
Arc length = 2*3.142*6 (75/360)
Arc length = 2*3.142*6*0.2083
Arc length = 7.85 km
Hence the length of the arc is 7.85km
find the equation of a line through (3,5) that is parallel to y = 4x - 8
How many 1/2 inch cubes can fit in a rectangular prisim with length of 2 height of 3/2 and width of 1.
Answer:
[tex]X=6[/tex]
Step-by-step explanation:
From the question we are told that
Length [tex]l=2[/tex]
Height [tex]h=3/2[/tex]
Width [tex]w=1[/tex]
Generally the equation for Volume of the Rectangular prism is mathematically given by
[tex]v=l*h*w[/tex]
[tex]v=2*\frac{3}{2}*1[/tex]
[tex]v=3m^3[/tex]
Therefore the number of half 1/2 inch cube X in v is
[tex]X=\frac{v}{1/2}[/tex]
[tex]X=6[/tex]
Pls answer answer pls
Answer:
48 :)
Step-by-step explanation:
120 divided by 10 = 12
12 x 4 = 48
Answer:
yo momma
Step-by-step explanation:
ha
I need the answers plss
Answer:
a) adjacent angles, complementary angles
b) vertical angles, congruent angles
c) supplementary angles, adjacent angles
d) supplementary angles, adjacent angles
Step-by-step explanation:
Adjacent angles are angles that share a common vertex, ( usually angles that are right next to each other )
Complementary angles are angles that form a 90 degree angle ( right angle )
Supplementary angles are angles that form a straight line
Vertical angles are angles that are vertically aligned with each other ( vertical angles are congruent )
NEED HELP ASAP 50 POINTS 20 MINS LEFT
Answer:
look at the picture I have sent
If you place a 32-foot ladder against the top of a building and the bottom of the ladder is 24 feet from the bottom of the building, how tall is the building? Round to the nearest tenth of a foot.
Answer: 21.2
Step-by-step explanation:
Answer: 22.2
Step-by-step explanation: the other person miss typed