The diagram shows a right-angled triangle.
hcm
7 cm
38°
What is the value of h?
Give your answer correct to 1 decimal place.
Answers
The measure of value of h from the trigonometric relations is h = 11.4 cm
What are trigonometric relations?Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
Given data ,
Let the triangle be represented as ΔABC
Now , the value of sides of the right triangle ABC is
AB = 7 cm
AC = h cm
The angle ∠ACB = 38°
Now , from the trigonometric relations , we know
sin θ = opposite / hypotenuse
Substituting the values in the equation , we get
sin θ = 7 / h
sin 38° = 7 / h
Multiply by h on both sides of the equation , we get
h ( sin 38° ) = 7
Divide by sin 38° on both sides , we get
h = 7 / sin 38°
Substitute the value of sin 38° = 0.6157
h = 7 / 0.6157
h = 11.369 cm
Rounding the value to 1 decimal place , we get
The value of h = 11.4 cm
Hence , The measure of value of h is h = 11.4 cm
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Related Questions
it says “The measure of an angle is 84º. find the measure of its supplement”plzzzzz help
Answers
Answer:
I think it's 96
Step-by-step explanation:
Since it said to find the supplement, I would just do 180 - 84 to get 96
which equation could be used to find the area of the circle in this sticker with a diameter of 6 centimeters
50 points for correct answer
(couldn't get a pick of it but heres a drawing)
Answers
Answer:
equation A is correctStep-by-step explanation:
because formula for area of circle is πr²r = 6cm
so area = 6²π
MARK ME AS BRAINLISTApply the distributive property to create an equivalent expression.
1/5 (15+10k) =
Answers
Answer:
1/5(15+10k)
=1/5.15+1/5.10k
=3+2k
Answer:
3+2k
Step-by-step explanation:
khan said so
Is 16 a multiple of 8?
Answers
Answer:
have a good day!
Yes it is.
help please will give a thanks !!
Answers
Answer:
7/9, -0.3, 11/2
Step-by-step explanation:
Answer:
7/9, -0.3, 11/2
Step-by-step explanation:
pls help me asap i need it
Answers
Answer:
don't know
Step-by-step explanation:
Explanation: Multiply both by -3.
Please help me, willing to pay! Drop gcash no.
Answers
Answer:
1. a+b
2. x+7
3. r^2
4. (a-12)
5. z-14
2. x+7
3. 2r
4. a-12
5. z-14
Match the graph
with its inequality.
I tried but got the wrong answer. Can someone help and explain?
Answers
Answer:
I
Step-by-step explanation:
This is a dotted line so we can automatically eliminate, b, e, g, h, and j. The shading in greater than, so we can eliminate a, and d.
Now all we have left are c, f and *i,
*(because if converted to y intercept the sign will flip because the y is negative in this equation.)
Now convert to y intercept form (y=mx+b).
Flip the sign because some are negative.
C. y>(-5/2)x+0
F. y>-2x+9
I. y>(4/3)x-(5/3)
Now use rise over run, or you could just look at the b. B is equal to the y-intercept. It can't be 0 or 9, and (-5/3) is equal to -1.67. So isn't that the closest to what the y intercept looks like in the graph?
Which statement best
describes the function?
A. The function is always increasing.
B. The function is never increasing.
C. The function is increasing when x > 0.
D. The function is increasing when x < 0.
Answers
Answer:
C. The function is increasing when x > 0.
Step-by-step explanation:
Statement best describes the function, The function is increasing when x > 0.
We have given that,
A. The function is always increasing.
B. The function is never increasing.
C. The function is increasing when x > 0.
D. The function is increasing when x < 0.
What is the increasing function?
A function is increasing when the y-value increases as the x-value increases, like this It is easy to see that y=f(x) tends to go up as it goes along.
We have to determine the statement best describes the function.
Therefore,The function is increasing when x > 0.
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Which dot plot matches the tally chart below?
A 2-column table with 5 rows. Column 1 is labeled Pull-ups Completed in one minute with entries 1, 2, 3, 4, 5. Column 2 is labeled Tally with entries 2, 5, 3, 1, 2.
A dot plot titled Pull-ups completed in one minute goes from 0 to 6. 0 has 0 dots, 1 has 2 dots, 2 has 5 dots, 3 has 3 dots, 4 has 1 dot, 5 has 2 dots, and 6 has 0 dots.
A dot plot titled Pull-ups completed in one minute goes from 0 to 6. 0 has 0 dots, 1 has 2 dots, 2 has 2 dots, 3 has 3 dots, 4 has 1 dot, 5 has 2 dots, and 6 has 0 dots.
A dot plot titled Pull-ups completed in one minute goes from 0 to 5. 0 has 0 dots, 1 has 2 dots, 2 has 5 dots, 3 has 3 dots, 4 has 1 dot, 5 has 0 dots.
A dot plot titled Pull-ups completed in one minute goes from 0 to 6. 0 has 0 dots, 1 has 2 dots, 2 has 5 dots, 3 has 3 dots, 4 has 1 dot, 5 has 1 dot, and 6 has 0 dots.
Answers
Answer:
option 1
Step-by-step explanation:
Answer: 1st one
Step-by-step explanation:
What is the answer to 1/4y=7
Answers
Answer:
y = 28
Step-by-step explanation:
1/4y=7 | Given
y = 28 | Multiplicative property of equality (multiply 7 by the denominator of 1/4y)
, What is the median for the following set of numbers?
18, 19, 21, 25, 27, 28
Answers
Answer:
23
Step-by-step explanation:
18 19 21 25 27 28
19 21 25 27
21 25
21+25= 46
46/2= 23
Answer:
23
Step-by-step explanation:
how can i rewrite that with exponents instead of repeated multiplication
Answers
Answer:
10^12
Step-by-step explanation:
Add the exponents when you multiply numbers with exponents
Nine times a number is 30 more than three times that number. Find the number
Answers
Answer:
From this question, we can write
Let n be the number.
9n=3n+30
6n=30
n=5
We find that the number is 30.
Hi there!
it would be 10.. if your asking for what multiply by 9 and 3 more than the number.
1.Find common multiply:
[tex]9,18,27,36,45,54,63,72,81,90,99[/tex]
[tex]30,60,90,120[/tex]
2.Find what nine can multiply to and 30 can also:
[tex]=90[/tex]
3.Divide two terms:
[tex]90*9=10[/tex]
This means, the number would be 10.
Select the correct answer from each drop-down menu.
The simplified form of [look at the picture] is ____ (-pi, pi, 2 times pi). It’s estimated value is ____ (3.14, 6.28, -3.14)
Sorry if this was confusing the read! One of the answers in the parentheses are supposed to fill in the blank!
Answers
Answer:
The answer is pi and the estimate is 3.14
Step-by-step explanation:
Just took the test for plato and Edmentum users only
The estimated value of the expression is π which is approximately equal to the number 3.14.
What is simplification?Simplification is to make something easier to do or understand and to make something less complicated.
The expression is given below.
[tex]\Rightarrow \dfrac{5\sqrt2 \pi - 4\sqrt2 \pi}{\sqrt2}[/tex]
Taking √2and π common, then we have
[tex]\rightarrow \dfrac{(5 - 4)\sqrt2 \pi}{\sqrt2}\\\\\\\rightarrow \dfrac{\sqrt2 \pi}{\sqrt2}\\\\\\\rightarrow \pi \approx 3.14[/tex]
The value of the expression is 3.14.
More about the simplification link is given below.
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A bowling alley has a one-time charge of $2.50 to rent a pair of shoes and a charge of $2.00 for each game bowled. The function f (x)
represents the total cost to bowl x games.
Which equation represents f (x)?
O A f(x) = 2.5x + 2
O B. f (x) = 2x + 2.5
O c f(x) = (2.5 + 2)x
OD. f (x) = (2.5 - 2)x
Answers
Answer:
B. f (x) = 2x + 2.5
Step-by-step explanation:
Linear function:
A linear function has the following format:
[tex]y = mx + b[/tex]
In which m is the value that y changes by when x increases by 1, and b is the flat fee.
A bowling alley has a one-time charge of $2.50 to rent a pair of shoes and a charge of $2.00 for each game bowled.
This means that [tex]m = 2, b = 2.50[/tex]
So
[tex]f(x) = 2x + 2.5[/tex]
And the correct answer is given by option b;
9. An internet provider charges an install fee of $59 and a monthly fee of
$109. The total bill was $495. Write an equation to find out how many
months were paid for.
Answers
Find the product. Write your answer in
exponential form.
9^-3 x 9^-1
Answers
Answer:
9²
Step-by-step explanation:
9³ × 9⁻¹ = 9³⁻¹ = 9²
Answer:
[tex] {9}^{ - 3} \times {9}^{ - 1} = {9}^{( - 3 - 1)} = {9}^{ - 4} =\boxed{\frac{1}{ {9}^{4} }}✓ \\ [/tex]
1/9⁴ is the right answer.Please help me solve this problem
Answers
Explanation:
Panel A area: 5.58 x 10 = 55.8 ft²
Panel B area: 6.02 x 10 = 60.2 ft²
Panel C area: 4.42 x 10 = 44.2 ft²
Panel D area: 3.98 x 10 = 39.8 ft²
Total area of the exhibit:
55.8+60.2+44.2+39.8 = 200 ft²
–5(–x + 4)
need help
Answers
Answer:
5x−20
Step-by-step explanation:
−5(−x+4)
=(−5)(−x+4)
=(−5)(−x)+(−5)(4)
=5x−20
write f(x)=(x-2)(x+2)(x+1)^2 as a polynomial function
Answers
Answer:
Step-by-step explanation:
[tex](x-2)(x+2)((x+1)^2\\ \\ (x^2-4)(x+1)^2\\ \\ (x^2-4)(x^2+2x+1)\\ \\ x^4+2x^3+x^2-4x^2-8x-4\\ \\ x^4+2x^3-3x^2-8x-4[/tex]
124,857 in expanded form
Answers
Answer:
Here you go...
124,857
=
100,000
+
20,000
+
4,000
+
800
+
50
+
7
Step-by-step explanation:
brainliest?
Answer:
124,857
Step-by-step explanation:
can't be more expanded
The question reads The graph of y=f(x) is shown below (dashed curve). Manipulate the green draggable points to obtain the graph of y=f(-x+4)-5 (solid curve). Someone help me please!!!
Answers
The graphs of y = f(x) and the transformed function are illustrations of function transformation
How to determine the graph of y=f(-x+4)-5The parent function is given as:
y = f(x)
The lines and curves on the graph cannot be manipulated; however, the description of the function y=f(-x+4)-5 can be given
The transformation of function y = f(x) to y=f(-x+4)-5 is as follows:
First, the graph of y = f(x) is reflected across the y-axisNext, the graph is shifted right by 4 unitsLastly, the graph is shifted down by 5 unitsRead more about function transformation at:
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10. Andy is flying an airplane at an altitude of 12,000 feet over the ocean heading towards and island. His instruments show that the airplane will be directly over the island after flying horizontally 30,000 feet. To land the plane safely, Andy needs to calculate the angle of depression.
Answers
Answer:
I think is D
Step-by-step explanation: I don’t know :/
What is the value of 9.6 x 12.643?
Answers
Answer:
121.3728
Step-by-step explanation:
calcluated with calculater
Read the proof. Given: AEEC; BDDC Prove: △AEC ~ △BDC Triangle A E C is shown. Line segment B D is drawn near point C to form triangle B D C. Statement Reason 1. AEEC;BDDC 1. given 2. ∠AEC is a rt. ∠; ∠BDC is a rt. ∠ 2. definition of perpendicular 3. ∠AEC ≅ ∠BDC 3. all right angles are congruent 4. ? 4. reflexive property 5. △AEC ~ △BDC 5. AA similarity theorem What is the missing statement in step 4? ∠ACE ≅ ∠BCD ∠EAB ≅ ∠DBC ∠EAC ≅ ∠EAC ∠CBD ≅ ∠DBC
Answers
Answer:
Step-by-step explanation:∠ACE ≅ ∠BCD
Answer:
d
Step-by-step explanation:
2(4x - 2) = 8(x - 7)
Answers
Answer:
no solution
Step-by-step explanation:
2(4x - 2) = 8(x - 7)
8x - 4 = 8x - 56
0x = -52
no solution
Answer:
2(4x-2) = 8(x-7)
Distribute on both sides
2(4x)-2(2) = 8(x)-(7)(8)
Simplify
8x - 4 = 8x - 56
Subtract 8x from both sides to balance the equation.
-4 = -56
This is not equal.
Therefore the answer is no solution
use the formula P=21+2w to find the perimeter of the rectangle shown below. a long thing with a length of 39.9in and a height of 9.2 in
Answers
(39.9+9.2) x 2
= 49.1 x 2
= 98.2 in.^2
Hope it helps!
Find the Unit Rate
Amy can read 88 pages in 4 hours. What is the
unit rate? (How many pages can she read per
hour?)
Help plzzzz
Answers
Answer:
22
Step-by-step explanation:
give them brain, they're correct.
The Unit Rate for Amy will be 22 pages per hour.
What is Unit Rate?The Unit Rate is defined as means a rate for one of something.
We have,
Amy can read 88 pages in 4 hours.
So,
Now,
Number of pages Amy can read in 1 hour [tex]=\frac{88}{4}[/tex]
So,
Number of pages Amy can read in 1 hour = 22,
That means,
The Unit Rate for Amy is 22 pages per hour.
Hence, we can say that the Unit Rate for Amy will be 22 pages per hour.
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Read the following scenarios and indicate the type of reliability in each scenario. Explain your answers
i) Test-retest reliability
ii) Parallel forms reliability
iii) Internal consistency reliability
iv) Interrater reliability
a) You want to evaluate the reliability of a critical thinking assessment. You create a large set of items that all pertain to critical thinking and then randomly split the questions into two sets of questionnaires. You administer both versions of the test to the same group of individuals. The scores from the two versions can then be correlated in order to evaluate the consistency of results across alternate versions.
b) You want to evaluate the degree to which the art portfolios in your 7th grade class meets the required standards. You ask 3 different art experts to evaluate the students' portfolios with the help of a rubric.
c) You are developing a math measure to test the constructs of number sense and logic of your 4th grade students. You want to make sure your measure is not testing other constructs like arithmetic skills. You would like to evaluate the degree to which different test items that probe the same constructs produce similar results.
Answers
Answer:
The Type of Reliability in each Scenario are:
Scenario Type of Reliability Test
a) Parallel forms reliability
b) Interrater reliability
c) Internal consistency reliability
Step-by-step explanation:
Types of Reliability Tests:
Test-retest reliability = measures the results consistency with the application of the same test at different times.
Interrater reliability = shows consistent ratings by different examiners.
Parallel forms reliability = uses alternative versions of an equivalent test to probe for similar results.
Internal consistency reliability = this test checks the consistency of individual items of a test.