Answers
Answer:
[tex]55.23[/tex]
Step-by-step explanation:
In order to solve this problem, one must use the right triangle trigonometric ratios. Right triangle trigonometric ratios are ratios between the sides and angles of a right triangle. These ratios are the following:
[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}[/tex]
Bear in mind that each side is named relative to the angle that one is describing in the triangle. Thus, the name of the side can change based on the angle. Please note that this only applies to the (opposite) and (adjacent) sides. The (hypotenuse) is the same no matter the angle, as the hypotenuse is the side opposite the right angle.
In this triangle, one is asked to find an angle, one is given the length of the side opposite the angle, as well as the hypotenuse. Thus, one should use the ratio of sine (sin), to solve for the unknown angle.
[tex]sin(\theta)=\frac{opposite}{hypotenuse}[/tex]
Substitute,
[tex]sin(\theta)=\frac{23}{28}[/tex]
Inverse operations,
[tex]\theta=sin^-1(\frac{23}{28})[/tex]
Simplify,
[tex]\theta=55.228056[/tex]
Related Questions
Hello I need help :)
Solve the equation to find out how much money Rita made working 36 regular hours at $24 per hour plus 8 holiday hours of double-time. What are her total earnings for the week?
A.$1,104.00
B.$ 00.00
C.$1,068.00
D.$1,248.00
Answers
Answer:
The correct option is D) $1,248.00
Step-by-step explanation:
First calculate $24 at 36 hours
24 * 36 = $864
then
calculate $48 at 8 hours because of double time
48 * 8 = $384
then
add them both up
864 + 384 = $1248
Hope this helps :)
Please help me if yk tha answer :))
Answers
Answer:
cosθ = sinθ/tanθ
Step-by-step explanation:
tanθ = sinθ/cosθ (Given)
cosθ(tanθ) = sinθ (Mulitplied cosθ on both sides)
cosθ = sinθ/tanθ (Divided tanθ on both sides)
What is the smallest 6 digit palindrome that can be divided by 99?
Answers
Smallest 5 digit number,which is also a palindrome and divisible by 99 is 54945
The ratios a: B and B :c are equivalent to one another
Select all the statements that must be true
Answers
Answer:
Options (2) and (5)
Step-by-step explanation:
Given ratio is a : b and b : c
[tex]\frac{a}{b}=\frac{b}{c}[/tex]
[tex]\frac{b}{a}= \frac{c}{b}[/tex] [Option 2]
[tex]\frac{a}{b}=\frac{b}{c}[/tex]
b × b = a × c
b² = ac
If a = b,
b² = bc
b = c [Option 5]
Therefore, Options (2) and (5) are the correct options.
the number of calls received by an office on Monday morning between 8:00am and 9:30 am has a mean of 3.Calculate the probability of getting no more than 3 calls between eight and nine in the morning.
Answers
Answer:
Step-bLet X be the number of calls received by an office on Monday morning between 8:00 AM and 9:00 AM.
In mathematical terms,
X
∼
P
o
i
s
s
o
n
(
2
)
.
The PMF of the random variable X is given as,
P
(
X
=
x
)
=
e
−
2
×
2
x
x
!
f
o
r
x
=
0
,
1
,
2
,
.
.
.
.
.
=
0
E
l
s
e
w
h
e
r
e
The probability of getting no more than 3 calls between eight and nine in the morning is obtained by the following way,
P
(
X
≤
3
)
=
P
(
X
=
0
)
+
P
(
X
=
1
)
+
P
(
X
=
2
)
+
P
(
X
=
3
)
=
e
−
2
×
2
0
0
!
+
e
−
2
×
2
1
1
!
+
e
−
2
×
2
2
2
!
+
e
−
2
×
2
3
3
!
=
0
.13534
+
0
.27067
+
0
.27067
+
0
.18045
=
0
.85712
Hence the probability of getting no more than 3 calls between eight and nine in the morning is 0.85712.y-step explanation:
What is 12 decreased by p?
Answers
Answer:
12 - p
Step-by-step explanation:
12 - p
what is an angle formed by
Answers
Answer:
An angles is formed by 2 rays sharing the same endpoint which is called the vertex.
Answer:
an angle is formed by two rays that intersect or share the same endpoint.
how do you find line segments in angels
Answers
Answer:
Line segments are named by their endpoints and rays are named by their endpoint and another point. In each case, a segment or ray symbol is written above the points. Below, the line segment is ¯AB and the ray is →AB
Bryon is solving the equation 22 - 6x = 15. He gets to 7 = 62. Is this a valid way to solve the equation?
Answers
Answer:
No
Step-by-step explanation:
22 - 6x = 15
subtract 22 from both sides
-6x = -7
divide both sides by -6
x = 7/6 or 1 1/6
It's urgent I need help quick pls help me
Answers
Answer:
11
Step-by-step explanation:
16 - 4[tex]\sqrt{5}[/tex] + 4[tex]\sqrt{5}[/tex] - 5
= 16 - 5
= 11
the sum of 43.9 and 4 groups of a number
Answers
Answer:
10.975+10.975+10.975+10.975
Step-by-step explanation:
solve the equation:x²y²–x²–y⁴+y²=0
Answers
There are 33 liters of orange juice at a school party. 1010 students want to drink all of the orange juice, and they all want to get exactly the same amount. How much orange juice can each get?
Answers
Answer: 0.033 liters or 33 ml each
Step-by-step explanation:
There are 33 liters of orange juice and 1,010 students to drink it.
If they are to drink an equal amount, you should divide the quantity of orange juice by the number of students who want to drink it:
= Quantity of orange juice / Number of students drinking
= 33 / 1,010
= 0.033 liters each
In milliliters this would be:
= 0.033 * 1,000 milliliters
= 33 ml each
Find the volume of the pyramid shown.
Answers
Answer:
48
Step-by-step explanation:
I did the work, the answer is 48
The answer would be 40, I just guest and got it right Answer: 40 cubic centimeters
Step-by-step explanation:
Find the average rate of change (-4,-7)(-2,3)
Answers
Hope this helped.
Bab isn’t good with quick mafs
Answers
Answer:
153.86
Step-by-step explanation:
Formula area circle = πr²
Solve:
Area = 3.14* 7²
Area = 3.14 * 49
Area = 153.86
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Classify the following triangle check all that apply
Answers
Answer:
Option E, Acute
Option F, Scalene
Hope this helps!
Answer:
Acute & Scalene
Step-by-step explanation:
This triangle has no equal sides. Therefore, it is scalene.
Moreover, this triangle has no angles greater than or equal to 90°. Therefore, it is also acute.
Match the statement with the appropriate reason for the proof above. Answers may be used more than once. You will have to fill in the blanks for 3
and 9 so you know the reason to match it with, but you are not picking solutions for 3 and 9
Answers
Answer:
Step-by-step explanation:
From the given question, the following statements and reasons can be matched;
Statement Reason
1. <1 and <2 are linear pair Given
2. <1 and <2 are supplementary Linear pair postulate
3. <1 ≅ <2
4. <1 ≈ <2 Given
5. m<1 = m<2 Substitution POE
6. m<1 + m<2 = [tex]180^{o}[/tex] Def of supplementary angles
7. 2(m<1) = [tex]180^{o}[/tex] Simplify/ Combine like terms
8. m<1 = [tex]90^{o}[/tex] Definition of right angle
9. 2(m<2) = [tex]180^{o}[/tex]
10. g ⊥ h Def of perpendicular lines
The Grade 5W students at the Eber Prep School wanted to create a mural on one
side of the walls in their classroom. the area of the wall is 36 square meters or 36
meters square.
Answers
Answer:
the answer is 36 square meters since this is the proper way to phrase this answer but if you do say it the other way people will now what u are talking about
Which are the solutions of x2 = -13x – 4?
Answers
Answer:
x=3.75
Step-by-step explanation:
Kendra can see the top of her apartment building reflected in a small fish pond in a park across the street. She is standing 2 m from the pond, and the distance from the pond to the apartment building is 40 m. If Kendra's eyes are 150 cm above the ground, how tall is the apartment building?
Answers
Answer:
Step-by-step explanation:
According to problem description, we have two triangles
The first one: the fish pond and feet and eyes of Kendra
The second one the fish pond and the side wall of the apartment
These two triangles have angle α as common angle and its tan
tan α = 1.5/ 2 = x/ 40 then note : 150 cm = 1.5 m
1.5/ 2 = x/ 40
x = 40 * 1.5 / 2
x = 30 m
A baker uses 20
cups of flour to make 4 loves of bread. Use this information for the picture below!
Answers
Answer:
60 cups
Step-by-step explanation:
We can use ratios to solve
20 cups x cups
--------------- = -------------------
4 loaves 12 loaves
20 * 12 = 4 *x
240 = 4x
Divide by 4
240/4 = 4x/4
60 =x
60 cups
Can someone help me please???
Answers
Answer:
35,691
Step-by-step explanation:
First step, look at the diagram and you see that you have a sphere and a cone.
The total surface area of a sphere is
[tex]A = 4\pi r^{2} \\A = 4\pi 39^{2} \\A = 19,113[/tex]
Since you only have half of a sphere, the surface area is 9,556.5
The surface area of the cone is
[tex]A = pi r(r+\sqrt{h^{2}+r^{2} }) A = \pi39(39+\sqrt{42^{2} +39^{2} } \\A=11,800[/tex]
You don't need the bottom of the cone however as it is connected to the half sphere.
So substract the area of a circle with a radius of 39 from the product of 19,113 + 11,800
The area of the circle is 4,778
John made this model to show \frac{4}{7}\times\frac{13}{9} 7 4 × 9 13 Using John's model, what is \frac{4}{7}\times\frac{13}{9} 7 4 × 9 13 ? You may use the scratchpad to show your work.
Answers
Answer:
[tex]\frac{4}{7}\times\frac{13}{9} = \frac{52}{63}[/tex]
Step-by-step explanation:
Given
See attachment for model
Required
Determine [tex]\frac{4}{7}\times\frac{13}{9}[/tex] from the model
The model is represented by:
[tex]\frac{4}{7}\times\frac{13}{9} = \frac{4}{7}\times\frac{9}{9} + \frac{4}{7}\times\frac{4}{9}[/tex]
To get: [tex]\frac{4}{7}\times\frac{9}{9}[/tex], we consider the first partition
The number of shaded box is 63 ---- this represents the denominator
The total boxes shaded at the bottom is 36 ---- this represents the numerator
So, we have:
[tex]\frac{4}{7}\times\frac{9}{9} = \frac{36}{63}[/tex]
To get: [tex]\frac{4}{7}\times\frac{9}{9}[/tex], we consider the first partition
The number of shaded box is 63 ---- this represents the denominator
The total boxes shaded at the bottom is 16 (do not count the gray boxes) ---- this represents the numerator
So, we have:
[tex]\frac{4}{7}\times\frac{4}{9} =\frac{16}{63}[/tex]
The equation becomes:
[tex]\frac{4}{7}\times\frac{13}{9} = \frac{4}{7}\times\frac{9}{9} + \frac{4}{7}\times\frac{4}{9}[/tex]
[tex]\frac{4}{7}\times\frac{13}{9} = \frac{36}{63} + \frac{16}{63}[/tex]
[tex]\frac{4}{7}\times\frac{13}{9} = \frac{36+16}{63}[/tex]
[tex]\frac{4}{7}\times\frac{13}{9} = \frac{52}{63}[/tex]
Mrs. Hanger is painting the following picture of an H to hang in the entryway of her home. She has made the following scale drawing as her model. The scale used on the drawing is 1:6.
As you can see, the "H" is going to be painted brick red in the center of a rectangular beige background. This means the distance from the "H" to the top of the picture will be the same as the distance from the "H" to the bottom of the picture. Similarly, the distance from the "H" to the left side of the picture will be the same as the distance from the "H" to the right side of the picture. Finally, each segment of the "H" will have the same width.
What is the actual width of the painting?
What is the actual height of the painting?
On the scale drawing, the top edge of the "H" is inches from the top edge of the drawing. What is the actual height of the "H"?
What is the actual width of the "H" (through the center)?
What is the actual distance from the left edge of the painting to the left edge of the "H"?
actual width of the painting: inches
actual height of the painting: inches
actual height of the "H"?: inches
actual width of the "H" (through the center): inches
actual distance from the left edge of the painting to the left edge of the "H": inches
Answers
text mentions a scale model... wich we can't see here unless you post it
In a class of students, the following data table summarizes how many students have a cat or dog. What is the probability that a student chosen randomly from the class has a cat?
Answers
Answer:
from this we know there is 30 people in the class and 14 of them have a cat so the probability is 14/30
14/30
7/15
7/15 as a percent is 46.6667%
THIRD TIME ASKING FOR HELP PLEASE HELP ME!!!!!!!!!!!!!!!!!!!
Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AB=3 and AD=1, what is the length of AC?
Answers
========================================================
Explanation:
For now, focus on triangle ABD. This is a right triangle due to BD being an altitude.
Use the pythagorean theorem to find that...
(AD)^2 + (BD)^2 = (AB)^2
(1)^2 + (BD)^2 = (3)^2
1 + (BD)^2 = 9
(BD)^2 = 9-1
(BD)^2 = 8
Normally we would isolate BD itself, but I'll stop short and use that last line instead.
------------------
The triangles ABD and BCD are similar triangles (we can prove this using the AA similarity theorem).
Since we have similar triangles, we can form the proportion shown below
AD/BD = BD/CD
This cross multiplies to
AD*CD = (BD)^2
We know that AD = 1 and (BD)^2 = 8, so,
AD*CD = (BD)^2
1*CD = 8
CD = 8
This then means,
x = CD+DA
x = 8+1
x = 9
AC is 9 units long.
Las dos cifras de un número suman 11 . Si las cifras se invierten de orden se invierten de orden , se obtiene otro número que excede en 27 unidades al anterior¿De q número se trata ?
Answers
Answer:
El número es el 47
Step-by-step explanation: Con los dígitos de los siguientes números se obtiene que su suma es 11
47 4 + 7 = 11
38 3 + 8 = 11
29 2 + 9 = 11
Si se cambia el orden de los dígitos:
47 se convierte en 74 74 - 47 = 27
38 " " 83 83 - 38 = 45
29 " " 92 92 - 29 = 63
Entonces el número solicitado es el 47
You earn $22 an hour and work 40 hours this week. Your Federal Income Tax rate is 20% and Social Security Tax rate is 5%. What is your net pay?
Answers
Answer:
$660
Step-by-step explanation:
22*40 = 880 dollars. This is your gross pay.
Then, 880*0.2 (deduction of federal income tax rate) = 176 dollars
We also have to deduct the social security tax rate so, 880*0.05 = 44 dollars
Therefore, we totally have to deduct 176 + 44 dollars which is 220 dollars. 880-220 = 660.
Let me know if im wrong!
Choose the expression equivalent to: (10 x 18) + (10 x s)
A) 20x18s AND 180 + 10s
B) 180 + 10s AND 10(18 + s)
C) 10(18 + s) AND 20 x 18s
Giving brainlest
Answers
B. 180 + 10s. AND 10(18 + s)
Hope this helps! :)
