Answer: Cos A = 0.96, Tan A = 0.29 and Sin A = 0.28
Step-by-step explanation: The right angled triangle can be solved by applying the trigonometric ratios given a follows;
Sin A = opposite/hypotenuse
Cos A = adjacent/hypotenuse
Tan A = opposite/adjacent
In the triangle ABC, the side AB (25) is the hypotenuse [facing the right angle], the side CB (7) is the opposite [facing the reference angle A°] while the side AC (24) is the adjacent [line between the reference angle and the right angle].
Therefore, using angle A as the reference angle;
(a) Cos A = adjacent/hypotenuse
Cos A = AC/AB
Cos A = 24/25
Cos A = 0.96
(b) Tan A = opposite/adjacent
Tan A= CB/AC
Tan A = 7/24
Tan A = 0.29
(c) Sin A = opposite/hypotenuse
Sin A = CB/AB
Sin A = 7/25
Sin A = 0.28
what is 8/3 times 12/5
Answer: 6.4 In decimal form. 32/5 in fraction form.
Step-by-step explanation:
So first times 8 by 12 which is 96
then, 3 times 5 which is 15
Simplify to 32/5
Answer: 32/5
Step-by-step explanation: When multiplying two fractions together, remember that we can cross-cancel.
In this problem the 12 and 3 reduce to 4 and 1.
So we have 8/1 · 4/5.
Next we simply multiply across the numerators and multiply across the denominators and we have our answer which is 32/5.
Please help me on this, not sure what the answer is.
Answer: I think it is High overlapped
Step-by-step explanation: because when comparing it look like a small difference between them.
Simplify the expression. −5x + 8y + 2x − 3y
Final answer:
To simplify the expression −5x + 8y + 2x − 3y, combine like terms, resulting in −3x + 5y.
Explanation:
To simplify the expression −5x + 8y + 2x − 3y, you want to combine like terms. The like terms are those with the same variable raised to the same power. In this expression, −5x and 2x are like terms, as are 8y and −3y.
Combine −5x and 2x: (−5 + 2)x = −3x
Combine 8y and −3y: (8 − 3)y = 5y
After combining like terms, the simplified expression is −3x + 5y.
solve 21/8.1 = 105/m
Answer:
m = 40.5
Step-by-step explanation:
21/8.1 = 105/m
Croos multiplying the fractions, we get
21m = 850.5
m = 850.5/21
m = 40.5
hope it helps!
To solve the proportion 21/8.1 = 105/m, cross-multiply to get 21m = 850.5. Then, divide both sides by 21 to find m = 40.5.
Explanation:To solve the equation 21/8.1 = 105/m, you can use cross-multiplication. By setting up the proportions correctly, you ensure that meters, being the only unit involved, is properly handled in the calculations.
First, cross-multiply to get 21 * m = 105 * 8.1. This simplifies to 21m = 850.5. Next, divide both sides of the equation by 21 to isolate m on one side, leaving you with m = 850.5 / 21. Upon dividing, you get m = 40.5.
It's important to remember that when dealing with ratios or proportions, canceling equivalent terms in the numerator and denominator simplifies the problem, making it easier to solve. Moreover, understanding how to deal with powers of 10 is essential, such as knowing that for 105/103 = 105-3 = 102 is helpful in many mathematical problems.
What is the surface area of the composite figure shown?
296 square feet
356 square feet
360 square feet
412 square feet
The surface area of the composite figure shown is 356 square feet. So, option b) is correct.
Surface area is the total area covered by the surface of the figure.
Given, the composite figure can be converted into two figures as shown in the image attached below:
Total Surface area of the composite figure= Area of figure 1 + Area of figure 2.
Area of figure 1= Area of I+ Area of G+ Area of H+ Area of F
Area of I= Area of G
= Area of triangle
[tex]=\dfrac{1}{2}b\times h[/tex]
=7 x 4/2
=14
Area of I= Area of G
=8 x 4/2
=16
Area of figure 1= 14+14+16+16
Area of figure 1=60 sq feet
Area of figure 2 = Area of A+Area of B+Area of C+Area of D+Area of E
Area of rectangle=l x b
Area of A=Area of B=Area of D
=7 X 8
=56
Area of C=Area of E
=8 X 8
=64
Area of figure 2 = 56+56+64+56+64
Area of figure 2 = 296 sq feet
Surface area of the composite figure=296+60
=356 square feet
Thus, surface area of the composite figure is 356 square feet. So, option b) is correct.
Learn more about Surface area, here:
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Write the coordinates of one point that lies in the
third quadrant of the coordinate plane?
(Sorry at home learning isn't easy in 6th grade)
Answer:
Example Quadrant 3 coordinate value (-2, -2)
Step-by-step explanation:
Coordinates are written (x, y)
Quadrant 1: both x and y are positive values. Example (2, 2)
Quadrant 2: x is negative and y is positive. Example (-2, 2)
Quadrant 3: both x and y are negative values. Example (-2, -2)
Quadrant 4: x is positive and y is negative. Example (2, -2)
Linda plans to put in wall-to-wall carpet in her bedroom. She measures the dimensions of her bedroom and sketches up the floor plan shown below. The carpet costs $9.50 per square meter. How much will Linda pay for wall-to-wall carpet for her bedroom?
Answer:
about $215
Step-by-step explanation:
Can someone please find the volume of this shape?
A) 1224 m^3
B) 2160 m^3
C) 6480 m^3
D) 2851 m^3
We have been an image of a triangular pyramid. We are asked to find the volume of the given pyramid.
We know that volume of triangular pyramid is [tex]\frac{1}{3}b\cdot h[/tex], where,
b = Base area,
h = Height of pyramid.
We can see that base of pyramid a right triangle.
[tex]\text{Area of triangle}=\frac{1}{2}\times\text{Base}\times\text{Height}[/tex]
Now we will find height of base triangle using Pythagoras theorem.
[tex]h^2=30^2-24^2[/tex]
[tex]h^2=900-576[/tex]
[tex]h^2=324[/tex]
[tex]\sqrt{h^2}=\sqrt{324}[/tex]
[tex]h=18[/tex]
[tex]\text{Area of base triangle}=\frac{1}{2}\times24\times 18[/tex]
[tex]\text{Area of base triangle}=12\times 18[/tex]
[tex]\text{Area of base triangle}=216[/tex]
[tex]\text{Volume of triangular prism}=\frac{1}{3}b\cdot h[/tex]
[tex]\text{Volume of triangular prism}=\frac{1}{3}\cdot 216\cdot 30[/tex]
[tex]\text{Volume of triangular prism}=216\cdot 10[/tex]
[tex]\text{Volume of triangular prism}=2160[/tex]
Therefore, the volume of the given prism is [tex]2160\text{ m}^3[/tex] and option B is the correct choice.
Answer:
its B
Step-by-step explanation:
A restaurant surveys customers with the following results: 8 pizzas, 12 hamburgers, 14 pastas, and
6 steaks. What is the experimental probability of pizza or steak?
P(pizza or steak)
20%
50%
35%
65%
Answer:
35%
Step-by-step explanation:
8+12+14+6=40
8+6=14
p( pizza or steak)=14/40=0.35
0.35*100=35%
The experimental probability is the occurrence probability of an event concerning all events. The experimental probability of pizza or steak is P(P or B) = 35%
What is the experimental probability?
The experimental probability is a probability assigned to an event. It is the number of times an event occurs concerning the number of times all events occur or the experiment is repeated.
It can be calculated by taking the relative frequency of the event when the experiment is repeated several times.
To calculate it, we can use the following formula,
P(E) = Number of trials performed in which a certain event occurred / Total number of trials in which all events occurred
In the exposed example,
The type of food are the events ⇒ pizzas, hamburgers, pastas, andsteaks.
The number of times each event is repeated is 8, 12, 14, 6 respectively Total number of trials in which all events occurred ⇒ 8+12+14+6The events of interest are pizza or steakThe number of times pizza or steak occur is 8 and 6 respectively Number of trials performed in which these events occurred ⇒ 8+14P(E) = Number of trials performed in which a certain event occurred / Total number of trials in which all events occurred
P(P or B) = (8 + 6) / (8 + 12 + 14 + 6) = 14 / 40 = 0.35 = 35%
The experimental probability of pizza or steak is P(P or B) = 35%
You can learn more about experimental probability at
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Which comparison is correct?
|5| > 7
7 < |7|
|-3| > |-4|
-5 < -4
Answer:
-5 < - 4 is correct
Step-by-step explanation:
I5I > 7 is wrong because I5I < 7
7 < I7I is wrong . 7 = I7I
I-3I > I-4I is wrong because absolute value is always positive.
So I-3I < I-4I
Answer:
5<-4
Step-by-step explanation:
Which equation is correct?
arccsc(x)=1/cos(x)
arccsc(x)=1/sin(x)
arccsc(x)= arccos(1/x)
arccsc(x) = arcsin(1/x)
Answer: D arccsc(x) = arcsin(1/x)
Step-by-step explanation:
The correct equation is arccsc(x) = arcsin(1/x), as it represents the inverse relationship between the cosecant and sine functions, indicating that arccsc(x) finds the angle whose sine is the reciprocal of x.
Explanation:The correct equation related to arcsecant is arccsc(x) = arcsin(1/x). The arcsecant function, arccsc(x), is the inverse of the cosecant function, csc(x), which is the reciprocal of the sine function, sin(x). Therefore, arccsc(x) is used to find the angle whose cosecant is x. Since csc(x) = 1/sin(x), taking the inverse of both sides, we get arccsc(1/sin(x)) = x. By further manipulation, we can say that arccsc(x) = arcsin(1/x) because we are essentially finding the angle whose sine is the reciprocal of x.
The equation arccsc(x) = 1/sin(x) suggests a relationship between arccsc and the sine function directly, but this would imply that arccsc(x) gives us the value of 1/sin(x), which is not the case. The correct interpretation is that arccsc finds the angle whose cosecant (which is 1/sin(x)) is x, hence the equation arccsc(x) = arcsin(1/x).
A political action committee is interested in finding out what proportion of voters will
support an environmental initiative. Obtain a sample size that will ensure a margin of
error of at most 0.09 for a 95% confidence interval. Similar initiatives in the past have
gotten 93% support.
Answer:
[tex]n=\frac{0.93(1-0.93)}{(\frac{0.09}{1.96})^2}=30.875[/tex]
And rounded up we have that n=31
Step-by-step explanation:
First we need to find the critical value for the margin of error desired. The confidence level is 0.95 so then the significance is [tex]\alpha=1-0.95=0.05[/tex] and the critical value for this case would be:
[tex] z_{\alpha/2} =\pm 1.96[/tex]
The margin of error for the proportion interval is given by this formula:
[tex] ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}[/tex] (a)
And on this case we have that [tex]ME =\pm 0.09[/tex] and we are interested in order to find the value of n, if we solve n from equation (a) we got:
[tex]n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}[/tex] (b)
The estimated proportion for this case is [tex]\hat p =0.93[/tex]. And replacing into equation (b) the values from part a we got:
[tex]n=\frac{0.93(1-0.93)}{(\frac{0.09}{1.96})^2}=30.875[/tex]
And rounded up we have that n=31
I really need help!!!!!!
Answer:
D) $0.15
Step-by-step explanation:
If you do 0.15 times 40 messages, you get $6
Which expressions are equivalent to this expression?
y+y+y+3z
Select each correct answer.
3(y+z)
2y + 2z + y + z
3y + z
3 + y + 3z
Answer:
Step-by-step explanation:
3(y + z)
2y + 2z + y + z
What is the value of sin 0 in the diagram below
Answer:
Please include the diagram
Step-by-step explanation:
Answer:
The answer is 24/25
Step-by-step explanation:
Sin (angle) = Opposite leg / Adjacent Leg
Sin (angle) = Y / r
Sin (angle) = 24/25 / 1 = 24/25
The answer is 24/25
Hope this helps
PLEASE HELP!!! (will give brainliest for best answer)
a) If side a measures 90 feet and side b measures 120 feet, how many feet of flowers will be planted along side c, the hypotenuse of the triangle? Show your work and explain your reasoning.
(image below)
Answer:
90 squared is 8,100, and 120 squared is 14,400. So to figure out what c is you do 90^2 + 120^2 = Square Root of 22,500 which is 150.
So c = 150
Step-by-step explanation:
So C=150
hope this helps :D
By using the Pythagorean theorem, we will see that side C measures 150ft.
How to get the length of side C?
We can see that side C is the hypotenuse of a right triangle. We know both catheti of said triangle, then we can use the Pythagorean theorem.
It says that the sum of the squares of the cathetus is equal to the square of the hypotenuse. Then we have:
A^2 + B^2 = C^2
We know that:
A = 90ft
B = 120ft
Replacing that we get:
√((90ft)^2 + (120ft)^2) = C = 150ft
Then we conclude that side C measures 150ft.
If you want to learn more about right triangles, you can read:
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The cross-section of a pipe has a width of 6 centimeters and a height of 15 centimeters.
Calculate the volume of the pipe.
Use 3.14 for pi. Round to the nearest tenth.
Answer:
Volume of the pipe = 423.9cm³
Step-by-step explanation:
Width = 6cm = diameter
Radius (r) = d / 2 = 6 / 2 = 3cm
Height = 15cm
Volume = ?
π = 3.14
Assuming the shape of the pipe is that of a cylinder, then we can easily find its volume just by calculating the volume of the cylinder.
Volume of a cylinder = πr²h
π = 3.14
r = radius of the cylinder
h = height of the cylinder
Volume = 3.14 × 3² × 15
Volume = 3.14 × 9 × 15
Volume = 423.9cm³
The volume of the pipe is 423.9cm³
The volume of the given pipe is [tex]424.12\ cm^3[/tex].
To calculate the volume of the pipe, assume the pipe is cylindrical and use the formula for the volume of a cylinder. The formula is given by:
[tex]V = Area\ of\ cross\ section \times height[/tex]
Since the pipe is cylindrical, the cross section is a circle. Therefore:
[tex]Area\ of\ cross\ section = \pi r^2[/tex]
where r = radius of cross section
Given width = 6 cm = diameter of the cross section = 2r
[tex]2r = 6\ cm \implies r = \frac{6}{2}\ cm = 3\ cm[/tex]
Therefore:
[tex]Area\ of\ cross\ section=A = \pi r^2 = \pi (3)^2 = 9\pi\ cm^2[/tex]
Assuming the 'height' mentioned is the length through which fluid is flowing, and given the cross-sectional area, the volume formula simplifies to:
[tex]V = A\times h[/tex]
Given height (length of cylinder) = 15 cm:
[tex]V = 9\pi \times 15\ cm^3 = 135\pi \ cm^3 \approx 424.12\ cm^3[/tex]
So, the volume of the pipe, assuming it as cylindrical, is [tex]424.12\ cm^3[/tex].
The company's annual profit (in millions of dollars) as a function of the app's price (in dollars) is modeled by
P(x) = -2(2-3)(x - 11)
What would be the company's profit if the app price is 0 dollars?
Answer:
0 dollars
Step-by-step explanation:
For the following sequence, state if its arithmetic, geometric or neither -4, 12, -36, 108, -324...
Explain why.
Answer:
It's geometric
Step-by-step explanation:
You multiply each term by "-3," so the common ratio is -3, making the sequence geometric.
Which of the following is a description of the data with a correlation coefficient of 1?
A) no correlation
B) perfect positive correlation
C) high positive correlation
D) perfect negative correlation
Answer:
perfect negative correlation
Step-by-step explanation:
correlation coefficient is the term used in statistic which provides the information of strength of relation between two variables. This value suggests if there is change in value of one variable, what will be the change in the variable and how much will value of that change.
What will be the change : it suggest whether change in value of one variable other will be increase or decrease .
If there is increase in one variable and other also increases it suggest there is positive correlation .
If there is decrease in one variable and other also decrease it suggest there is positive correlation .
how much will value of that change: It means to say if there is change in one variable by how much amount other variable will change.
If the value of correlation coefficient is high it means that change in value for one variable is high in to response change in other variable .
It values ranges from -1 to +1 high
while sign depicts type of relation that is positive or negative .
value from - 1 to + 1 depicts strength of the relation .
with - 1 depicting perfect negative correlation
+1 depicting perfect positive correlation.
In the problem it is given correlation coefficient is 1 which means it is positive and value of one means that if there x percentage increase in one variable then other variable will also increase by x percentage and vice versa.
ΔRST and ΔXYZ are equilateral triangles. The ratio of the perimeter of ΔRST to the perimeter of ΔXYZ is 2 to 1. The area of ΔRST is 62.354 square inches. What is the area of ΔXYZ? (round to nearest tenth) A) 15.6 in2 B) 31.2 in2 C) 124.7 in2 D) 249.4 in2
Answer:
C
Step-by-step explanation:
Help please!
A parallelogram has a base of 3.7 kilometers and a height of 5 kilometers. What is the area?
Answer:
Base x height = area
3.7 x 5 = 18.5
18.5 is the area
Step-by-step explanation:
Write an equation in slope-intercept line form form for the line perpendicular to 2x-3y=12 that passes through the point (8,5)
Answer:
3x+2y=34
Step-by-step explanation:
L1: 2x-3y=12 => the slope m1=-2/(-3)=2/3
L2 perpendicular to L1 => m2= -1/m1= -3/2
the point A(8,5) ∈ L2
=> y–yA=m2(x–xA)
L2: y-5=-3/2 *(x-8)
L2: 2y-10=-3x+24
L2: 3x+2y=34
The graph of which function passes through (0,4) and has a minimum value at (StartFraction 3 pi Over 2 EndFraction, 3)?
Answer:
f(x) = sin(x)+4
Adrian can purchase a 10-pound item from several different sellers. Which is the best buy?
PLEASE HELP ME
A) Buy online for $50 plus pay shipping costs of $1 per pound.
B) Buy online for $47 plus pay shipping costs $2 per pound.
C) Buy at a local store for $60 and use a $5-off coupon.
Answer:
the answer is c because i answered it on a test and got it right
Step-by-step explanation:
50 POINTS!!!!!! AND BRAINLIEST!!! PLEASE HELP. SAT.
If a is equal to the sum of band c, what is the difference of band c?
In terms of b and a
In terms of c and a
Answer:
2b -a
a-2c
Step-by-step explanation:
a = b+c
We want to find b-c
Solve the first equation for b
b = a-c
and for c
c = a-b
b-c in terms of b and a
using c = a-b
b - (a-b)
Distribute the minus sign
b - a +b
Combine like terms
2b -a
b-c in terms of c and a
using b = a-c
(a-c) -c
a-c -c
Combine like terms
a-2c
Help Pls Help Pls Help Pls
Answer:
169
Step-by-step explanation:
13^2 is really just 13 times 13 which equals 169
Solve the riddle.
Dividing my dog’s age by 4 and adding 6 is the same as dividing my dog’s age by 8 and adding 8.
StartFraction x Over 4 EndFraction + 6 = StartFraction x Over 8 EndFraction + 8
How old is my dog?
Answer:
16 years old
Step-by-step explanation:
got it right on edge 2020.
Please mark as Brainliest
Please say thank you.
what is the circumference of a circle with a 12cm diameter?
Answer:
37.7cm
Step-by-step explanation:
Answer:[tex]12\pi[/tex]
[tex]12\pi[/tex]
Step-by-step explanation:
The formula is: [tex]C= 2\pi r[/tex]
Diameter is the same has 2r, r being the radius.
To help remember: Cherry Pies ([tex]\pi[/tex]) Are (r) Too.
A water tank holds 621 gallons but is leaking at a rate of 4 gallons per week. A second water tank holds 828 gallons but is leaking at a rate of 7 gallons per week. After how many weeks will the amount of water in the two tanks be the same?
Answer:
69 weeks
Step-by-step explanation:
Let the number of weeks be x.
The first tank holds 621 gallons is leaking at a rate of 4 gallons per week. This means that after x weeks, the amount of water in the tank is:
621 - 4x
The second tank holds 828 gallons is leaking at a rate of 7 gallons per week. This means that after x weeks, the amount of water in the tank is:
828 - 7x
After a certain amount of weeks, the amount of water in both tanks is the same. That means that:
621 - 4x = 828 - 7x
=> 7x - 4x = 828 - 621
3x = 207
x = 207 / 3 = 69
This means that the amount of water in the tank will be the same after 69 weeks.