Answer:
B, C, E, and F
Step-by-step explanation:
Recall the acronym for trigonometric functions: SOHCAHTOA
Thus:
B = 180 - (48 + 90) = 42°
Let's find the trigonometric functions using 42° as the reference angle:
Opp = b
Hyp = c
Adj = a
Applying SOH:
Sin 42 = opp/hyp
✅Sin 42 = b/c (option C is correct)
Applying CAH:
Cos 42 = adj/hyp
✅Cos 42 = a/c (option A is incorrect)
Applying TOA:
Tan 42 = opp/adj
✅Tan 42 = b/a (option E is correct)
Using 48° as reference angle:
Opp = a
Hyp = c
Adj = b
Applying SOH:
Sin 48 = opp/hyp
✅Sin 48 = a/c (option D is incorrect)
Applying CAH:
Cos 48 = adj/hyp
✅Cos 48 = b/c (option B is correct)
Applying TOA:
Tan 48 = opp/adj
✅Tan 48 = a/b (option F is correct)
Is my Answers Correct? Very easy Question!
Answer:
Step-by-step explanation:
Correct
Step-by-step explanation:
the 5th one on the right is standard form,
the second one is perfect square form.
A triangular pyramid has a base area of 74 square inches and a height of 9 inches. Which is closest to the volume of the pyramid?
a 351 cubic inches
b 702 cubic inches
c 224 cubic inches
d 234 cubic inches
Answer:
702
Step-by-step explanation:
because 74 x 9 = 666 and 702 is close
Factorise
1) 9a^2 - 6a
Answer:
[tex]3a(3a - 2)[/tex]
Step-by-step explanation:
[tex]3(3a ^{2} - 2a) \\a(3a - 2) [/tex]
SO BAD RN SMH SMH...HELP ME WITH MATH
4 x 2 - 5 + 63 + 1 =
Answer:
67
Step-by-step explanation:
4x2= 8-5= 3 + 63 = 66 + 1 = 67
Triangle PQR is similar to triangle KLM.
L
35 in.
Q
15 in.
72 in.
R
M M
x in.
What is the value of x in inches?
A 7 in.
B 148 in.
C 92 in.
168 in.
Answer: I think it’s b
Step-by-step explanation:
balance the equation showing all 6 steps. 200=g-180
Answer:
g = 380
Step-by-step explanation:
200 = g - 180
You add 180 to both sides
200 + 180 = g
380 = g
Hope that helps!
please help I will give brainliest!
What is the answer for this 5c + 9 -2c -7
Step-by-step explanation:
Given
5c + 9 - 2c - 7
= 3c + 2
Hope it will help :)❤
1 por 3) Jacksons buys a book for $12.85 and spends $5.89 for lunch. How much more did the book cost than lunch? *
Answer:
$6.96 more was the book than the lunch
Step-by-step explanation:
do cost of the book subtract the cost of the lunch forget the decimals and just subtract like normally. then at the end bring down the decimals, hope this helps
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!
No Solution!
Step-by-step explanation:
If we make a graph of the given equations the equation's lines will be parallel. We know that, when the lines are parallel, there is no solution.
Answer:
I think it has only one solution
Matthew has a shipping carton in the shape of a right rectangular prism. The volume of the shipping carton is 11. cubic meters. The
height of the shipping carton is 7 meters and the width is 2 meters.
What is the length of Matthew's shipping carton?
fraction in simplest form in the box
Answer:
Height = 0.7857 m = 13/16 m
Step-by-step explanation:
Height x 7 x 2 = 11
Height = 0.7857 m = 13/16 m
Pasta costs £1.50 per kg.
How much does 600g of pasta cost?
The solution is, 600g of pasta cost £ 0.9.
What is division?Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.
here, we have,
given that,
Pasta costs £1.50 per kg.
now we have to find,
How much does 600g of pasta cost
we know,
1 kg = 1000 grm.
so, we get,
1000 g Pasta costs £1.50
so, 1 g Pasta costs £1.50/1000
so, 600 g Pasta costs £1.50/1000 * 600
= £ 0.9
Hence, The solution is, 600g of pasta cost £ 0.9.
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Convert these improper fractions into mixed numbers.
5/4
Answer:
1 1/4
Step-by-step explanation:
4/4 + 1/4 = 5/4
4/4 = 1
so 1 1/4
Answer: 1 1/4
Step-by-step explanation: first we have to find the whole number then we divide the numerator and the denominator. then we are only interested in the whole numbers so we ignore the one to the right of the decimal. then we will used the whole number we calculated in step one and multiply it by the original denominator then is subtracted from original numerator. our next step is to simplify. then when that down we need to calculate the greatest common factor.
porfa ayuda:
Dibuja un triángulo isósceles y se divide
su base en 4 partes iguales. Identifica los
triángulos congruentes pintándolos del
mismo color.
Answer:
Ignore los puntos.
Ignore the points.
Peggy is p years old. Maggie is 1 year less than 1/4 of Peggy's age. What is Maggie's age in terms of p?
Answer:
1/2m+100
Step-by-step explanation:
y
is directly proportional to
x
2
.
If
y
=
12
when
x
=
2
find
y
when
x
=
6
Answer:
y=54+7
Step-by-step explanation:
In AIJK, the measure of K=90°, IJ = 8.6 feet, and KI = 4.5 feet. Find
the measure of ZI to the nearest tenth of a degree.
Answer:
58.4
Step-by-step explanation:
delta math give up
what does 1 4/9 - 1/2= to?
what do you understand by resultant of a force
Answer:
When a system of forces is acting on an object, the difference between the forces is called the Resultant force. For example, a 3N force to the left and 10N force to the right gives a resultant force of 7N to the right.
Step-by-step explanation:
Please help, test due in 1 hour and it’s a grade. Will give good review and brainliest!
trapezoid, i got the last one wrong
Answer: Trapezoid
Step-by-step explanation:
A trapezoid is a quadrilateral with only one pair of parallel sides; the bases are parallel to each other. The legs don't have to be parallel (they're not).
A triangle has an area of 36 square feet. The height is 6 feet. What is the length of the base (in feet)?
Answer:
Answer · 6 votes
$b = 6 $ \ $ h =12$
Five houses in the neighborhood sold this month for the following prices:
$328,000, $297,500, $415,000, $389,000, $345,000.
The house with the highest selling price sold for how much more than the median selling price?
Answer:
70,000
Step-by-step explanation:
Median= 345,000
Higest selling house= 415,000
415,000-345,000= 70,000
The results of a national survey showed that on average, adults sleep 6.3 hours per night. Suppose that the standard deviation is 1.6 hours. (a) Use Chebyshev's theorem to calculate the minimum percentage of individuals who sleep between 3.1 and 9.5 hours. % (b) Use Chebyshev's theorem to calculate the minimum percentage of individuals who sleep between 2.3 and 10.3 hours. % (c) Assume that the number of hours of sleep follows a bell-shaped distribution. Use the empirical rule to calculate the percentage of individuals who sleep between 3.1 and 9.5 hours per day. % How does this result compare to the value that you obtained using Chebyshev's theorem in part (a)
Answer:
a) 75%.
b) 84%
c) Within 2 standard deviations from the mean is 95%. The normal distribution has a higher percentage of observations closer to the mean than a non normal distribution, so this percentage is larger.
Step-by-step explanation:
Empirical Rule:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
Chebyshev Theorem:
The Chebyshev Theorem can also be applied to non-normal distribution. It states that:
At least 75% of the measures are within 2 standard deviations of the mean.
At least 89% of the measures are within 3 standard deviations of the mean.
An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]100(1 - \frac{1}{k^{2}})[/tex].
In this question:
Mean: 6.3 hours
Standard deviation: 1.6 hours
(a) Use Chebyshev's theorem to calculate the minimum percentage of individuals who sleep between 3.1 and 9.5 hours.
3.1 = 6.3 - 2*1.6
9.5 = 6.3 + 2*1.6
Within 2 standard deviations, so the minimum percentage is 75%.
(b) Use Chebyshev's theorem to calculate the minimum percentage of individuals who sleep between 2.3 and 10.3 hours.
How many standard deviations from the mean?
One standard deviation is 1.6
These measures are 10.3 = 6.3 = 6.3 - 2.3 = 4. This is k standard deviations, in which
[tex]k = \frac{4}{1.6} = 2.5[/tex]
The minimum percentage is:
[tex]100(1 - \frac{1}{k^{2}}) - 100(1 - \frac{1}{2.5^{2}}) = 84%[/tex]
So 84%.
(c) Assume that the number of hours of sleep follows a bell-shaped distribution. Use the empirical rule to calculate the percentage of individuals who sleep between 3.1 and 9.5 hours per day.
Within 2 standard deviations from the mean is 95%. The normal distribution has a higher percentage of observations closer to the mean than a non normal distribution, so this percentage is larger.
the length of a rectangle is represented by 3x-7 and the width by x+4. express the perimeter as a polynomial in simplest form
Answer: 8x - 6
Step-by-step explanation:
Perimeter is found by doing 2l + 2w
The length is 3x - 7 and width is x + 4
2(3x - 7) + 2(x + 4) =
6x - 14 + 2x + 8 =
8x - 6
Select all the multiples of the number 3
HELP NEED NOW... Look at picture
Answer:
the answer is 2
Step-by-step explanation:
Suppose two angles in a coordinate plane, one measuring 80° and the other measuring 160°, were both rotated 180° about the origin and then translated 40 units down. Which of these would be a measure of
one of the resulting angles? Select all that apply.
160°
340°
80°
40°
120°
260°
Answer:120 and 160
Step-by-step explanation:
i did it
80° and 160° could be a measure of one of the resulting angles.
What are angles?Two rays intersect to form a angle. The point of intersection is called the vertex point.
Given is that two angles in a coordinate plane, one measuring 80° and the other measuring 160°, were both rotated 180° about the origin and then translated 40 units down.
There is no effect of rotation and translations on the angles. Hence, we can say that 80° and 160° could be a measure of one of the resulting angles.
Therefore, 80° and 160° could be a measure of one of the resulting angles.
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8,626 round to the nearest thousand?
Answer:
9000
Step-by-step explanation:
PLS HELP I DONT KNOW THIS ONE ITS URGENT
Answer:
A. [tex] \frac{UV}{VW} = \frac{ZY}{YX} [/tex]
Step-by-step explanation:
WX, VY, and UZ are parrelel to each other, therefore, base on triangle proportional theorem, the two transversal lines are divided proportionally by the 3 parallel lines.
Thus, we would have the following equation which is true:
[tex] \frac{UV}{VW} = \frac{ZY}{YX} [/tex]
please help! i need help
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