Answer:
m∡B = 55°
AB = 5.2
AC = 7.4
Step-by-step explanation:
m∡B = 180-(90+35)
use Law of Sines to find AB and AC:
sin 90° / 9 = sin 35°/AB
AB = .57(9) = 5.2
sin 90° / 9 = sin 55°/AC
AC = .82(9) = 7.4
The solution is,
m∡B = 55°
AB = 5.2
AC = 7.4
What is triangle?A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.
here, we have,
from the given figure, we get,
m∡B = 180-(90+35)
=55
use Law of Sines to find AB and AC:
sin 90° / 9
= sin 35°/AB
AB = .57(9)
= 5.2
sin 90° / 9 = sin 55°/AC
AC = .82(9
= 7.4.
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Which expression is equivalent to -8 - (-12)
8 - 12
-8 + 12
-8 - 12
-8 (8+12)
I need help with this too it’s confusing and I don’t understand it.
riverview soccer team won 10 games and drawn 2 out of 18 games so far this season. what is the probability they will lose their next game
answer asap pls sdkfjlcsjldkjnclfakwjflkajlcsfs
Given:
The circumference of a circle is 18.
Central angle of an arc is 120 degrees.
To find:
The measure of arc length.
Solution:
The arc length of a circle is:
[tex]s=2\pi r\times \dfrac{\theta }{360^\circ}[/tex]
Where, r is the radius of the circle, [tex]\theta[/tex] is the central angle in degrees.
We know that, [tex]2\pi r[/tex] is the circumference of the circle. So, substitute [tex]2\pi r=18,\theta=120^\circ[/tex] in the above formula.
[tex]s=18\times \dfrac{120^\circ}{360^\circ}[/tex]
[tex]s=18\times \dfrac{1}{3}[/tex]
[tex]s=6[/tex]
Therefore, the length of the arc is 6 units.
A bottling company produces 7,200 cans of iced tea per day. How many 12-can cartons can be filled?
Answer:
600 cartons
Step-by-step explanation:
Hey can you help me fast!!
(PS. I used to HATE i-ready)
If the population has a variance of 4.6, what is the variance of the sampling distribution of its means if the
sampling distribution was derived with sample size n = 2 and all possible samples are drawn with
replacements?
Answer:
Step-by-step explanation:
Hi
Suppose that Clayton Kershaw of the Los Angeles Dodgers throws his fastball with a mean velocity of 94 miles per hour (mph) and a standard deviation of 2 mph and that the distribution of his fastball speeds can be modeled by a Normal distribution What percent of Kershaw’s fastballs will travel at least 100 mph?
Answer:
Step-by-step explanation:
ah, probability, so the std. deviation is 2 MPH, so that means to get from the mean.. or average speed of 94, he'll have to vary by 3 std. deviations or 6 MPH to hit 100
99.7% of throws fall into that area of with in 3 std. deviations so that means
0.3% fall outside also , 1/2 of those will 3 std. deviations slow while the other half is fast
so
0.15% will be 100 or faster.... not many
0.15% is the percent of Kershaw’s fastballs will travel at least 100 mph.
What is Normal Distribution?A probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.
The standard deviation is 2 MPH, so that means to get from the mean.. or average speed of 94, he'll have to vary by 3 standard deviations or 6 MPH to hit 100
99.7% of throws fall into that area of with in 3 standard deviations so that means
0.3% fall outside also , 1/2 of those will 3 standard deviations slow while the other half is fast
so 0.15% will be 100 or faster
Hence 0.15 percent of Kershaw’s fastballs will travel at least 100 mph.
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The difference between two whole numbers is 99. The ratio of the two numbers is 2:5. What are the numbers?
Let the two whole numbers be 2x and 5x
The difference between 2x and 5x is 99. So,
5x-2x=99
3x=99
x=99/3
x=33
Therefore the two numbers are
5x=5*33=165
2x=2*33=66
Answer:
28:71
Step-by-step explanation:
99/7=14.14285714 (make sure to keep that in the calculator) that equals 1 part.
Therefore,
2×14.14...=28 (round up to nearest whole number)
5×14.14..=71 (round up to nearest whole number)
Select the expression that has a value of 13. 9 + 3 x (2 ÷ 3) + 6 (9 + 3) x 2 ÷ 3 + 6 9 − (3 x 2) ÷ 3 + 6 (9 + 3 x 2) ÷ 3 + 6
Answer:
[tex](c)\ 9 - (3 * 2) \div 3 + 6[/tex]
Step-by-step explanation:
Given
(a) to (d)
Required
Which equals 13
[tex](a):\ 9 + 3 * (2 \div 3) + 6[/tex]
Solve the bracket
[tex]9 + 3 * (2 \div 3) + 6 =9 + 3 * (\frac{2}{3}) + 6[/tex]
Open the bracket
[tex]9 + 3 * (2 \div 3) + 6 =9 +2 + 6[/tex]
[tex]9 + 3 * (2 \div 3) + 6 == 17[/tex]
[tex](b):\ (9 + 3) * 2 \div 3 + 6[/tex]
Solve the bracket
[tex](9 + 3) * 2 \div 3 + 6 =(12) * 2 \div 3 + 6[/tex]
Open bracket
[tex](9 + 3) * 2 \div 3 + 6 =24 \div 3 + 6[/tex]
Divide
[tex](9 + 3) * 2 \div 3 + 6 =8 + 6[/tex]
[tex](9 + 3) * 2 \div 3 + 6 =14[/tex]
[tex](c)\ 9 - (3 * 2) \div 3 + 6[/tex]
Solve the bracket
[tex]9 - (3 * 2) \div 3 + 6 =9 - (6) \div 3 + 6[/tex]
Remove bracket
[tex]9 - (3 * 2) \div 3 + 6 =9 - 6 \div 3 + 6[/tex]
Divide
[tex]9 - (3 * 2) \div 3 + 6 =9 - 2 + 6[/tex]
[tex]9 - (3 * 2) \div 3 + 6 =13[/tex]
[tex](d)\ (9 + 3 * 2) \div 3 + 6[/tex]
Solve the bracket (the product, first)
[tex](9 + 3 * 2) \div 3 + 6=(9 + 6) \div 3 + 6[/tex]
[tex](9 + 3 * 2) \div 3 + 6=15 \div 3 + 6[/tex]
Divide
[tex](9 + 3 * 2) \div 3 + 6=5 + 6[/tex]
[tex](9 + 3 * 2) \div 3 + 6=11[/tex]
Only (c) equals 13
calculate the volume of the prism by first finding the total number of half unit cubes that will fill it.There are 8 half unit cubes in every unit cube pls help guys this is my exam
Answer:
I think its C
Step-by-step explanation:
Briefly explain the roles and relationships that exists amongst the producers, consumers, and decomposers in an ecosystem such as an ocean.
The roles and relationships that exist amongst the producers, consumers, and decomposers in an ecosystem is described by the food chain.
What is an ecosystem?
The meaning of ecosystem is the complex of a community of organisms and its environment functioning as an ecological unit.
Producer is an organism that produces its own food e.g. photosynthesis in plants. Also known as the base of the food-chain.
Consumer is an organism that consumes (eats) either a producer or another consumer e.g. animals will solely eat plants (herbivore), solely animals (carnivore), or a combination of both (omnivore).
Studies are showing that most animals are omnivores. Even pre-concluded herbivores or carnivores are found to eat a small variety of both plants and animals in a pinch. E.g. a deer would eat a baby bird if it found it on the ground.
Decomposers are organisms that 'eat' and break up dying/decaying material e.g. earthworms and fungi.
All of this together is the food cycle.
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Witch fraction is equivalent to 33/200
Answer:
16.5/100
Step-by-step explanation:
An equivalent fraction to 33/200 could be 66/400.
Where is the blue dot on the number line?
Answer:
-15
Step-by-step explanation:
Answer:
On -15.
Step-by-step explanation:
So, the common difference seems to be 5.
Therefore, the point before -5 will be -10 and the point before -10 is -15.
WILL GIVE BRAINLIEST, NO LINKS
Find the area of the polygon.
Answer:
166.3
Step-by-step explanation:
line that shows 8, shows that each of six sides is 8
so that's 48
to get the "apothem"
it means get a side of the triangle where the hypotenuse is 8 and the base is 4 (half of 8)
so that is square root of 48 which is like 6.928
then plug into the formula
1/2 x 6.928 x 48 which is like 166.27
Graph y = x2 + 10x + 25.
Determine the number of solutions.
Answer:
1 solution
Step-by-step explanation:
The equation will be a horizontal parabola that has an x-intercept of (-5,0) therefore 1 solution
Answer:
vertex: (-5,0)
axis of symmetry: x=-5
some points: (-7,4)(-6,1)(-5,0)(-4,1)(-3,4)
what does x equal? no step by step needed.
Answer:
x = 13
Step-by-step explanation:
BD is the hypotenuse of the smaller triangle and corresponds to 2x - 7. 51 is the longer leg of triangle EFG
The ratio of the two hypotenuses is (2x - 7)/57, and the ratio of the two longer legs is (x + 4)/51. These ratios are equal to one another. Thus:
2x - 7 x + 4
--------- = ---------
57 51
Cross multiplication results in 51(2x - 7) = 57x + 228, or
102x - 357 = 57x + 228
Combining like terms, we get:
45x = 585, and so x = 13.
Similar right triangles
Find the value of x.
*PLEASE HELP ASAP ITS A TEST* How many solutions does the system of linear equations represented in the graph below have?
Answer:
0
Step-by-step explanation:
The 2 lines never intersect so there are 0 solutions
Karina deposito S/. 3000 en un banco en un banco a una tasa de interes simple del 2% mensual ¿Cuánto ganara en dos años
Answer:
En dos años ganará S/. 4440.
Step-by-step explanation:
Puedes encontrar la respuesta utilizando la fórmula para calcular el valor futuro:
VF=VP*(1+(i*n))
VP= valor presente= 3000
i= tasa de interés= 0.02
n= número de periodos de tiempo= 24 meses (2 años corresponden a 24 meses)
VF=3000*(1+(0.02*24))
VF=3000*(1+0.48)
VF=3000*1.48
VF=4440
De acuerdo a esto, la respuesta es que en dos años ganará S/. 4440.
Which rule describes the composition of transformations that maps triangle BCD to triangle B""C""D""?
Answer:
(d)
Step-by-step explanation:
Given
See attachment for [tex]\triangle BCD[/tex] and [tex]\triangle B"C"D"[/tex]
Required
The transformations
Using B and B"" as points of reference, we have:
[tex]B = (1,4)[/tex]
[tex]B"" = (5,-1)[/tex]
The transformation is as follows:
First, reflect across y axis.
The rule is:
[tex](x,y) \to (-x,y)[/tex]
So, we have:
[tex]B(1,4) \to B'(-1,4)[/tex]
Next, translate 6 units right.
The rule is:
[tex](x,y) \to (x + 6,y)[/tex]
So, we have:
[tex]B' (-1,4) \to B"(-1 + 6,4)[/tex]
[tex]B' (-1,4) \to B"(5,4)[/tex]
Lastly, translate 5 units down
The rule is:
[tex](x,y) \to (x,y-5)[/tex]
So, we have:
[tex]B"(5,4) \to (5,4-5)[/tex]
[tex]B"(5,4) \to (5,-1)[/tex]
Hence; (d) is correct
Sarah goes to dinner with two friends the total cost of dinner is $61.92 her friends pay 2/3 of the total cost exactly how much does Sarah pay
Answer:
the amount paid by Sarah is $20.64
Step-by-step explanation:
Given that
The total cost of the dinner is $61.92
And her friends pay 2 by 3
We need to find out the amount paid by Sarah
Since her friends pay 2 by 3 of the total cost
That means the remaining should be paid by Sarah i.e. 1 by 3
So, we need to multiply 1 by 3 with the total cost of the dinner i.e.
= 1 ÷3 × $61.92
= $20.64
Hence, the amount paid by Sarah is $20.64
find z. explain please
Answer:
13
Step-by-step explanation:
You need to use pythagorean theorem (a^2 + b^2 = c^2). In this case 5 is a, 12 is b, and z is c. 5^2 + 12^2 = z^2, this ends up as 169 = z^2. Now you find the square root of 169 which is 13.
Step-by-step explanation:
Maybe it is root 5²time 12²=60
BRAINILIEST PLEASE–v^2 + 4v − 1 = 0
Solve using the quadratic formula
what do I do?
Answer:
The quadratic formula is ax^2+bx+c=0.
The exact answer to this is v = 2 ± √ 3
Step-by-step explanation:
what is the solution for this system of linear equations?
a. (3,1)
b. (-2,1)
c. Infinite solutions
d. No solution
Answer:
Step-by-step explanation:
hello :
d. No solution
HELP! :))
If 35 liters of petrol cost $21.00, what is the price per liter?
Answer:
1.66$ per liter
Step-by-step explanation:
Hi there! I hope you're having a good day so far. :)
So this equation is quite simple. To write it out, you get:
35/21.00=?
All you need to do is get a calculator and put that in.
Then you will get 1.66666667, but to 'simplify' it, you just get 1.66 dollars per liter.
Therefore, the answer is 1.66$ per liter.
Helper's Message:
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F: 0- (-8)
G: -2 • 4
H: -2 + (-8)
J: -2 devided by 4
enter the value for x that makes the equation 4x-2+3x-7 true
Answer:
I think the answer is
[tex]x = \frac{9}{7} [/tex]
Step-by-step explanation:
Reason :
[tex]4x - 2 + 3x - 7 = 0 \\ collect \: like \: terms \\ 4x + 3x - 7 - 2 = 0 \\ 7x - 9 = 0 \\ 7x = 9 \\ x = \frac{9}{7} [/tex]
Therefore
[tex]x = \frac{9}{7} [/tex]
HELP 10 POINTS GIVEN 5TH GRADE MATH ONE QUESTION BRAINLIEST
Answer:
2848, 7120
Step-by-step explanation:
It's simple multiplication, there's nothing more to it.
Answer:
The first square is : 2848The second one is : 7120As shown in the picture
Step-by-step explanation:
I hope that is useful for you :)
The coordinates for a quadrilateral are (0.0), (-1,2), (1,6) and 2,4). Determine the type of
quadrilateral.
Answer:
parallelogram
Step-by-step explanation:
What is 5 11/10 simplified
Answer:
61/10 or in decimal form 6.1 or 6 1/10
Step-by-step explanation: