Answers
9514 1404 393
Answer:
sin(M) = √7/4
cos(M) = 3/4
tan(M) = √7/3
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relationships of interest.
Sin = Opposite/Hypotenuse
sin(M) = (2√7)/8 = √7/4
Cos = Adjacent/Hypotenuse
cos(M) = 6/8 = 3/4
Tan = Opposite/Adjacent
tan(M) = (2√7)/6 = √7/3
Related Questions
Find the surface area of a square pyramid with side length 5 ft and slant height 7 ft.
5 ft
5 ft
Answers
Answer:
99.33ft^2
Step-by-step explanation:
The surface area of a square pyramid is expressed as;
TSA = a²+2a√a²/4 + h²
Given that
a = 5ft
h = 7ft
Substitute
TSA = 5²+2(5)√5²/4 + 7²
TSA = 25+10√25/4 + 49
TSA = 25 + 10√(221/4)
TSA = 25 + 10(√55.25)
TSA = 25 + 10(7.433)
TSA = 25 + 74.33
TSA = 99.33ft^2
Hence the surface area of a square pyramid with side length 5 ft and slant height 7 ft is 99.33ft^2
Answer:5x5=25 fts
4(1/2 x 5ft x7 ft) = 70 fts
Add them up and you get
Answer= 95fts
Step-by-step explanation:
In ΔDEF, the measure of ∠F=90°, the measure of ∠D=20°, and EF = 92 feet. Find the length of FD to the nearest tenth of a foot.
Answers
Answer:
FD ≈ 252.8 feet
Step-by-step explanation:
By applying tangent rule in the given right triangle,
tan(20°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
tan(20°) = [tex]\frac{EF}{FD}[/tex]
0.36397 = [tex]\frac{92}{FD}[/tex]
FD = [tex]\frac{92}{0.36397}[/tex]
FD = 252.77
FD ≈ 252.8 feet
I need help please and thank you
Answers
Answer:
4
Step-by-step explanation:
The slope of the line is given. It is 4. Use the equation y=mx+b to answer the other questions.
Substitute 1 in for y, 4 in for m, and 2 in for x and solve for b. The equation would look like 1=4(2)+b.
Solving that equation will give you b=-7
That means the y-intercept is -7.
The equation would then be y=4x-7
Complete the square in order to solve the following quadratic equation:
x^2 + 6x = −2
Answers
a
2
+
2
a
b
+
b
2
=
(
a
+
b
)
2
or
a
2
−
2
a
b
+
b
2
=
(
a
−
b
)
2
We can see that
x
2
=
a
2
and
2
a
b
=
6
x
So all we need to condense this into
(
a
+
b
)
2
is a
b
2
term
We know that
2
b
=
6
as
x
=
a
so
b
=
3
and
b
2
=
9
So if we put the
b
2
term in we get
x
2
+
6
x
+
9
−
9
=
(
x
+
3
)
2
−
9
We include the
±
9
because we have to net add nothing to the equation so
9
−
9
=
0
so we really haven't added anything
Look the the question below
Answers
Answer:
-40°
Step-by-step explanation:
-13° + -7° = -20°
-20° + -3° = -23°
-23° + 5° = -28°
-28° + -12° = -40°
Answer:
- 13 - 7 + 5 -12
-30/5= -6
Step-by-step explanation:
sum of all observation/total observation
(-13-7+5-12)/5
-30/5
-6
You're getting a pay raise! You are going to be making $9 per hour plus a $100 bonus. You will make a total of $190 every day. I need the answer asap
Answers
Answer:
x=10
Step-by-step explanation:
y=mx+b
y=9x+100
190=9x+100
x=10
Answer:
9x + 100 = 190
Step-by-step explanation:
Where x is hours.
Consider the polynomial function h(x) = -2x^5+ 8x^4
2x^2+15.
What is the end behavior of the graph of h ?
Answers
Answer: B
Step-by-step explanation:
Applying limits, it is found that the end behavior of the graph is:
B. As [tex]x \rightarrow \infty, h(x) \rightarrow -\infty[/tex], and as [tex]x \rightarrow -\infty, h(x) \rightarrow \infty[/tex].
The function is:
[tex]h(x) = -2x^5 + 8x^4 - 2x^2 + 15[/tex]
To find the end behavior, we apply the limits as x goes to infinity, in which just the term with the highest exponent is considered, hence:
[tex]\lim_{x \rightarrow -\infty} h(x) = \lim_{x \rightarrow -\infty} -2x^{5} = -2(-\infty)^5 = -2(-\infty) = \infty[/tex]
Then, as [tex]x \rightarrow -\infty, h(x) \rightarrow \infty[/tex]
[tex]\lim_{x \rightarrow \infty} h(x) = \lim_{x \rightarrow \infty} -2x^{5} = -2(\infty)^5 = -2(\infty) = -\infty[/tex]
Then, as [tex]x \rightarrow \infty, h(x) \rightarrow -\infty[/tex]
Hence, option B is correct.
A similar problem is given at https://brainly.com/question/24248193
What is the value of x?
Answers
Answer:
i think it might be C
Step-by-step explanation:
very sorry if it's wrong
For brainiest:):):):)
Answers
Answer:
11.a 2/3rd grams of protein
11.b 2.5 cups
12. for every gram of protein there is 2.5 cups of cereal
Step-by-step explanation:
The two figures are similar. Find the missing
dimension. Round to the nearest tenth if
necessary.
Answers
Answer:
4 in
Step-by-step explanation:
For the smaller figure, we can assume the other missing side is 2 because the area is 4, and area = length*width.
So the area of the larger figure is 4^2, or 16, so then we can assume the x or the two missing sides for the larger figure are 4 beacuse 4*4=16
An angle measures 32 degrees. Through what fraction of a circle does the angle turn? I need help !!!!!!!!
Answers
Answer:
4/45
Step-by-step explanation:
The sum of angles in a triangle is 360 degrees
If the angle measures 32 degrees, the fraction can be represent as 32/360
32/360 has to be converted to its simplest form. To this divide both the numerator and the denominator by 8. This gives 4/45
HELLP ILL GIVE BRAINLYEST Each side of a square classroom measures 23 feet. The teacher wants to put a border around the top of the classroom that costs $1.12 per foot. How much will the border cost?
Answers
Answer:
Step-by-step explanation:
4(23ft)($1.12/ft)=$103.04
Each morning, Lena leaves her house at 6:15 A.M. It takes Lena 5 minutes to walk to the bus stop. Lena rides the bus for 20 minutes and then walks 5 minutes to her office. What time does Lena arrive at work?
Include A.M. or P.M. in your answer (for example, 11:58 A.M.).
Will give brainiliest
Answers
Answer:
6:45
Step-by-step explanation:
5 minutes + 20 minutes +5 minutes= 30 minutes
Answer:
6:45 A.M.
Step-by-step explanation:
6:45 A.M. is exactly 30 minutes after 6:15 A.M., which is how long it takes her to walk to the bus stop, ride the bus, and walk to work.
Stay safe! <3
PLEASE HELP!!! Find the value of the variable.
Answers
9514 1404 393
Answer:
q = 9
Step-by-step explanation:
The angle bisector divides the triangle sides proportionally.
q/36 = (16 -q)/28
7q = 9(16 -q) . . . . . . multiply both sides by 252 (the LCM of 28 and 36)
16q = 16(9) . . . . . . . . add 9q to both sides
q = 9 . . . . . . . . . . . . . divide by 16
_____
Additional comment
We are given the sum of the segment lengths on the far left side. The proportion is the same for the sum of sides as it is for individual sides.
(q/36) = 16/(36+28)
q/36 = 16/64 = 1/4
q = 36/4 = 9
Need help on the slope intercept
Answers
Answer: y = 3x+9
Step-by-step explanation:
points are -2,3 and -1,6
6-3/-1-(-2) = 3
y-int is 9 since its given
The grades on a math midterm at Springer are roughly symmetric with \mu = 78μ=78mu, equals, 78 and \sigma = 5.0σ=5.0sigma, equals, 5, point, 0. Omar scored 646464 on the exam. Find the z-score for Omar's exam grade. Round to two decimal places.
Answers
Answer:
-2.8
Step-by-step explanation:
Given that:
Mean, μ = 78
Standard deviation, σ = 5
Omar's score, x = 64
The Zscore of Omar's score :
Zscore = (x - μ) ÷ σ
Zscore = (64 - 78) / 5
Zscore = - 14 / 5
Zscore = - 2.8
Hence, Omar's exam score is - 2.8
Answer:
-2.8 is correct
Step-by-step explanation:
plz help
this is also timed and sorry that the screen looks like this:(
Answers
Answer:
2 hours, 15 minutes
B.
Step-by-step explanation:
3:30 to 5:30 is 2 hours elapsed time.
5:30 to 5:45 is 15 minutes elapsed time.
2 hrs + 15 mins =2 hrs 15 mins.
Answer:
2 hours and 15 minutes
Step-by-step explanation:
You subtract 5:45 - 3:30 = 2:15
Hope I helped
Match the correct volume equation to each 3-D figure.
Answers
Answer:
no image sry cant haelp
Step-by-step explanation:
59:40 Vance ate a salad and at a turkey burger for dinner. The salad contained 20 calories and his entire meal contained a calories. Which equation can be used to determine the number of calories in the entire turkey burger? 440 - 4x=80 80---440 440 - (20)
Answers
Answer:
123
Step-by-step explanation:
Mrs. Williams put $500 into a retirement account that earns 4% interest. How long will it take for there to be $3,500?
Answers
I guess 7 years or 28 months (I think 28 months )
Write the slope intercept form of the equation of the line through (1,1) and slope =4
Answers
Answer:
y = 4x -3
Step-by-step explanation:
The combined area of a square and a rectangle is 33 square meters. The width of the rectangle is 1 meter more than the length of one side of the square and the length of the rectangle is 3 meters more
than its width.
a) Calculate the dimensions of the rectangle and its perimeter
b) Calculate the dimensions of the square.
Answers
Answer:
4 m = width of the rectangle.
6 m = length of the rectangle
20 m = perimeter of rectangle
3 m = side of the square
Step-by-step explanation:
Let s = length of side of square
s + 1 = width of rectangle
s + 3 = length of rectangle
Area of rectangle = (s + 1)(s + 3)
Area of square = [tex]s^{2}[/tex]
So, (s + 1)(s + 3) + [tex]s^{2}[/tex] = 33
[tex]s^{2}[/tex] + 4s + 3 + [tex]s^{2}[/tex] = 33
2[tex]s^{2}[/tex] + 4s - 30 = 0
2([tex]s^{2}[/tex] + 2s - 15) = 0
2(s + 5)(s - 3) = 0
s = -5 or s = 3
Length of a side cannot be negative, so -5 is ignored
3 m = side of the square
4 m = width of the rectangle
6 m = length of the rectangle
2(4) + 2(6) = 8 + 12 = 20 m = perimeter of rectangle
On a coordinate plane, a circle has a center at point (negative 6, 4).
What is the equation of the circle shown in the graph?
Answers
Answer:
[tex] {x}^{2} + {y}^{2} + 12x - 8y + 4 = 0[/tex]
Answer:
1:x+6 2:y-4 3:36
Step-by-step explanation:
just did it :)
PLEASE HELP DUE SOON
Find the volume of the cylinder. Use 3.14 for Pi. Round to the nearest hundredth.
Answers
What is the simplified form of the quantity of x plus 7, all over 2 − the quantity of x plus 4, all over 2?
Answers
(x + 7)/2 - (x + 4)/2 = (x + 7 - (x + 4)/2 = (x + 7 - x - 4)/2 = 3/2
Covert this repeating decimal into a fraction (answer choices at the top)
Answers
Answer:
Option 1 4311/9900
Step-by-step explanation:
4311/9900 = 0.435454545454545454
Can I have Brainliest please. :D
On a hot summer day, Nora and her friends decided to have a water fight. They threw water balloons for 1 hour. When all the water balloons were gone, they sprayed water with hoses for 30 minutes. The water fight ended at 1:45 P.M. when Nora's dad showed up with ice cream. What time did the water fight start?
Include A.M. or P.M. in your answer (for example, 11:58 A.M.).
will give brainilest
Answers
Answer: 12:15 pm
Step-by-step explanation:
They had a balloon fight for 1 hour
They played in the hose for 30 minutes
The water fight ended at 1:45 pm minus 1 hour 30 minutes if play = 12:15 pm start time
In AVWX, XV
W X and mW
- 27°. Find m_X.
Answers
Answer:
m<X = [tex]126^{o}[/tex]
Step-by-step explanation:
From the given isosceles triangle, we have;
<W and <V as the base angles
So that,
m<W = m<V = 27 (base angles of an isosceles triangle are equal)
Thus,
m<X + m<V + m<W = 180 (sum of angles in a triangle)
m<X + 27 + 27 = 180
m<X + 54 = 180
m<X = 180 - 54
= 126
m<X = [tex]126^{o}[/tex]
how long would a rock that weighs 2 pounds take to fall 99 feet
Answers
Answer:
When you are calculating the amount of mechanical energy used to exert force and move something, you are talking about work being done by a force at a distance. You can describe this in terms of foot-pounds. For example, you want to calculate the energy used to tighten a nut when using a wrench, or to lift a weight from the floor. Mechanical force takes place in time, so to describe the power requirement, you use foot-pounds per second.
Step-by-step explanation:
Is this a function or not a function? Explain why.
Answers
Answer:
this is not a function
Step-by-step explanation:
the bottom numbers need to connect
Answer:
ppl are stubborn they put random stuff ty for wasting my points im getting them back
Step-by-step explanation: