Answer:
C
Step-by-step explanation:
Using pythagoras theorem, you will find that AC= 12,
[tex]\sqrt{13^2-5^2}= 12[/tex]
Sin A = Opposite / Hypotenuse, in this case the opposite of A is CB which is 5ft, and then Hypotenuse of the right angled triangle is AB. which is 13ft.
So, Sin A = 5/13
Tan A= Opposite/ Adjacent,
Opposite is CB, which is 5ft, adjacent is AC, which is 12ft.
So, Tan A= 5/12
Cos A= Adjacent/Hypotenuse,
we know adjacent is 12ft and that hypotenuse is 13ft.
So Cos A= 12/13
However Sec A is the inverse of cos A.
So, Sec A= 13/12.
help me this question
can anybody help me please? I'll give brainlest for correct answer
Answer:
1) 40 degrees
2) 140 degrees
3) 110 degrees
4) 70 degrees
5) 70 degrees
Explanation:
Use the curved protractor they have created you, and count every dash as 10 degrees. Keep in mind that the whole thing equals 180 degrees, and half would equal 90 degrees. Some call it a right angle.
Let me know if my answer is correct for the other users that will see this message. Thank you!
-kiniwih426
Find the value of x such that l ⊥ m.
Answer:
The answer is 16
Step-by-step explanation:
Hi there!
The angles shown are supplementary
Supplementary angles have a measure of 90 degrees
This means that 3x + 5 + 37 = 90
3x + 5 + 37 = 90
Combine like terms
3x + 42 = 90
Take away 42 from each side
3x = 48
Divide by 3
x = 16
Hope this helps! :)
Answer:
O B) 16
Step-by-step explanation:
90° (total) - 37° = 53°
(3x+5) = 53°
(3x-5) = -5° Subtract 5 from both sides!
3x = 48 Solve
x = 16
x2 + 5x + 9.
Find the equation of the axis of symmetry for the parabola y =
Answer:
x = -5/2
Step-by-step explanation:
From the quadratic equation
the axis of symmetry for quadratics of the form
y = ax² + bx + c is
x = -b/2a
x² + 5x + 9
x = -5/2
AD=7, BD=3, DE=6. Find BC
Answer:
the answer to this is 10 i think sorry if it is wrong
Step-by-step explanation:
The triangles are similar and the measure of BC = 60/7 units
What are similar triangles?If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.
Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides
Given data ,
Let the first triangle be ΔABC
Let the second triangle be ΔADE
Now , ΔABC and ΔADE are similar triangles
where corresponding sides of similar triangles are in the same ratio
So , AD / AB = DE / BC
On simplifying , we get
7 / 10 = 6 / BC
Multiply by BC on both sides , we get
BC ( 7/10 ) = 6
Multiply by 10 on both sides , we get
7BC = 60
Divide by 7 on both sides , we get
BC = 60/7
Hence , the measure of BC = 60/7 units
To learn more about similar triangles click :
https://brainly.com/question/29378183
#SPJ3
(a) A color printer prints 23 pages in 7 minutes. How many minutes does it take per page? minutes per page
7 min = 23 pages
To find out the amount of time the color printers to print one page we need to do 7/23 min.
Answer: 7/23
graph the line with intercept 6 and slope
[tex] - \frac{3}{2} [/tex]
Given:
The y-intercept of a line = 6
The slope of the line = [tex]-\dfrac{3}{2}[/tex]
To find:
The graph of the given line.
Solution:
The slope intercept form of a line is:
[tex]y=mx+b[/tex]
Where, m is the slope and b is the y-intercept.
Putting [tex]m=-\dfrac{3}{2}[/tex] and [tex]b=6[/tex] in the above equation, we get
[tex]y=-\dfrac{3}{2}x+6[/tex]
At [tex]x=0[/tex],
[tex]y=-\dfrac{3}{2}(0)+6[/tex]
[tex]y=0+6[/tex]
[tex]y=6[/tex]
At [tex]x=2[/tex],
[tex]y=-\dfrac{3}{2}(2)+6[/tex]
[tex]y=-3+6[/tex]
[tex]y=3[/tex]
Plot these two points (0,6) and (2,3) on a coordinate plane and connect them by a straight line to get the graph of the required line.
The required graph is shown below.
Construct the 90% confidence interval for the proportion of students at the college who have completed their required English 101 course. Enter your answers as decimals (not percents) accurate to three decimal places. The Confidence Interval is
Answer:
The confidence interval has an lower limit of [tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = \pi - 1.645\sqrt{\frac{\pi(1-\pi)}{n}}[/tex] and an upper limit of [tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = \pi + 1.645\sqrt{\frac{\pi(1-\pi)}{n}}[/tex], in which [tex]\pi[/tex] is the sample proportion and [tex]n[/tex] is the size of the sample.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = \pi - 1.645\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = \pi + 1.645\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
The confidence interval has an lower limit of [tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = \pi - 1.645\sqrt{\frac{\pi(1-\pi)}{n}}[/tex] and an upper limit of [tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = \pi + 1.645\sqrt{\frac{\pi(1-\pi)}{n}}[/tex], in which [tex]\pi[/tex] is the sample proportion and [tex]n[/tex] is the size of the sample.
Which is a simplified form of the expression -4(n + 1) – (n + 2)?A.2n + 3B.-3n – 2C.-4n – 5D.-5n – 6
the answer is d. -5n - 6 :)
there are 6 glass bottles and eight plastic bottles on a rack. I f one is chosen at random, what is the probability of picking a glass bottle? Which simulation can be used to represent this situation
Answer:
6:8
Step-by-step explanation:
6 is the ratio of glass bottles and 8 is the plastic or you can put 3:4 because you divide the number b 2
true or false m angle 5 is greater than m angle 8
Answer:
True
Step-by-step explanation:
You can see that Angle 5 is slightly greater than 90°, so it is obtuse
Angle 8 is less than 90°, and is acute
Since obtuse angles are larger than acute angles, Angle 5 is greater than Angle 8.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Which expression represents the total perimeter of her sandwich, and if x = 1.2, what is the approximate length of the crust?
Anya contributed $1,200 toward the purchase
of a $2,000 computer. Her brother contributed
$240 toward the same computer. Her parents
provided the rest of the money for the computer. What percentage of the total cost of the computer did Anya's parents pay?
Answer:
Parent's share would be : 28%
Step-by-step explanation:
Cost of the computer = $2000
Anya's share = $1200
Brother's share = $240
Parents paid rest. That will be : 2000 - 1200 - 240 = $560
Percentage of parents share :
[tex]\frac{560}{2000} \times 100 = 28 \%[/tex]
You might need: Calculator
On the first day of spring, an entire field of flowering trees blossoms. The population of locusts consuming these
flowers rapidly increases as the trees blossom.
The relationship between the elapsed time t, in days, since the beginning of spring, and the number of locusts,
L(t), is modeled by the following function:
5.9
L(t) = 750.
(1)
Complete the following sentence about the rate of change in the locust population.
2
The population of locusts gains of its size every
3
days.
Answer:
5.9
Answer directly from Khan
Find the perimeter of the figure.
a map shows that the top of a hill is 200m above sea level and the bottom of a lagoon is 15m below sea level. express these distancesat a distances from sea level and what is difference between the two heights
Answer:
200 m
-15 m
215 m
Step-by-step explanation:
Given :
Top of hill = 200 m above sea level ; height of hill top is positive 200m = 200 m
Bottom of lagoon = 15m *below sea level ; bottom of lagoon = - 15m
We have related the height of the two points with respect to sea level ; points above sea level are represented as positive ; points below are represented as negative.
Difference between the two heights :
Hill top - bottom of lagoon :
200 m - (-15) m
200 m + 15 m
215 m
Difference between the heights is 215 m
What is the value of k?
9514 1404 393
Answer:
k = 10
Step-by-step explanation:
The exterior angle is equal to the sum of the remote interior angles.
115° = (4k +5)° +(6k +10)°
115 = 10k +15 . . . . . . . . . . . divide by °, simplify
100 = 10k . . . . . . . . . . . . subtract 15
10 = k . . . . . . . . . . . . . . divide by 10
which number represents 4%
Answer:
4
Step-by-step explanation:
I’ll mark you as brainliest!
Answer:
Area of rectangle = l*b
11*9
99
I think it will help you.
Answer:
first is rectangle
L = 11 m
W = 9m
area = LW
area = 11 × 9
area = 99 sq.m
2nd is circle
D = 21 .6
r = 1/2 × 21.6
r = 10.8
area = 22/7 ×10.8²
area = 336.582 sq.
3rd triangle
B = 8 in
H = 4.6 in
area = 1/2 × 8 × 4.6
area = 18.4 sq.in
4th parallelogram
b = 12 in
h = 3 in
area = b × h
area = 12 × 13
area = 156 sq.in
5th trapezoid
h = 7cm
b1 = 4 cm
b2 = 10 cm
area = ½ ×7 (4 + 10
area =49 sq.cm
Step-by-step explanation:
hope this will help you
Sara has 5 blue bows and 7 white bows in a bag for her fellow cheerleaders to wear in their hair for each game. The bows are
pulled out randomly by the team. Determine if the following is an
Independent or a Dependent event. Then find the probability.
1.) Sara pulls out a blue bow and her teammate pulls out a white bow.
Answer: The events are dependent
The probability is 35/132
==============================================================
Explanation:
If the first bow Sara pulls out isn't put back, then the two events are dependent. This is because the probability of pulling a white bow changes depending on what Sara pulls out.
If Sara pulls out a blue bow, then the teammate's chances of pulling a white bow are 7/11 because there are 7 white bows out of 4+7 = 11 left over (or you could compute 5+7-1 = 11).Or if Sara pulls out a white bow, then the chances of a teammate pulling out another white bow is 6/11 instead of 7/11. The probability has changed.So again, it all depends on what Sara does because she goes first. This is of course not the case if Sara puts the bow back. If she put it back, then the chances of the teammate pulling the white bow is 7/12
---------
To find the overall probability of Sara selecting a blue bow and not putting it back, followed by a teammate getting a white bow, we multiply the fractions 5/12 and 7/11 to get (5/12)*(7/11) = 35/132
For more info, search out conditional probability.
A teacher offers 8 extra credit assignments.what is the domain of this graph
Let g(x) be the transformation of f(x)= 3x - 5 when it is translated 6 units up followed by a horizontal stretch by a factor of 3/2.
g(x) = Blank 1X +Blank 2
Answer:
g(x) = 2x + 1
Step-by-step explanation:
f(x)= 3x - 5 when it is translated 6 units up
Translating a function a units is adding a to the function. So
[tex]3x - 5 + 6 = 3x + 1[/tex]
Horizontal stretch by a factor of 3/2.
This means that [tex]g(x) = f(\frac{2x}{3})[/tex], that is. So
[tex]g(x) = 3(\frac{2x}{3}) + 1 = 2x + 1[/tex]
Then
g(x) = 2x + 1
PLEASE HELP ASAP !!! WILL MARK BRAINLIEST TO WHOEVER ANSWERS CORRECTLY
Answer:
See below.
Step-by-step explanation:
Alternate Interior Angles - 1
Alternate Exterior Angles - 2
Corresponding Angles - 4
Same-side Exterior Angles - 5
Same-side Interior Angles - 3
Answer:38292
A
Step-by-step explanation:w
jkwlw44444
Wll mark Brainlest helllppoooooo
Answer:
Step-by-step explanation:
f(x) = (2x^2 + 1)
( f(3 + h) - f(3) ) / h
f(3 + h) = 2(3 + h)^2 + 1)
f(3 + h) = 2(9 + 6h + h^2) + 1
f(3 + h) = 18 + 12h + 2h^2 + 1
f(3 + h) = 19 + 12h +2h^2
f(3) = 2*(3^2) + 1
f(3) = 2(9) + 1
f(3) = 19
f(3 + h) - f(3) = 2h + 2h^2 The 19s cancel out
f(3 + h) - f(3) = 2h(1 + h^2)
( f(3 + h) + f(3) ) / h = 2h ( 1 + h^2) / h = 2 ( 1 + h^2)
Answer:
Step-by-step explanation:
Teresa received a $90 gift card for a coffee store. she used it in buying some coffee that cost her $8.21 per pound. After buying the coffee, she had $65.37 left on her card. how many pounds of coffee did she buy?
Answer:
3 Pounds of Coffee
Step-by-step explanation:
To find out how much she spent on the pounds of coffee, you would have to takeaway $65.37 away from the total of $90 which will give you $24.63, which is how much she has spent on the coffee. To find out how many pounds of coffee she bought, you would have to divide $24.63 by $8.21 giving you 3, which is how many pounds of coffee Teresa bought.
Much appreciated if this is marked as brainliest :)
Jill went on 8 hikes. The hikes were 6 miles, 4 miles, 2 miles, 3 miles, 7 miles, 5 miles, and 1 mile. What was the range of the lengths of Jill's hikes? :)
Answer:
range is 6
Step-by-step explanation:
The smallest number in this data set is 1 mile, the largest is 7 miles
the range is the difference between the biggest and smallest number so 7-1 = 6. The range is 6
Last year, nine employees of an electronics company retired. Their ages at retirement are listed below in years. Find the mean retirement age.56 65 62 53 68 58 65 52 56
Answer:
59.44
Step-by-step explanation:
Nine employees If an electronic company retired last year
The retirement ages are listed below
56, 65, 62, 53, 68, 58, 65, 52, 56
The mean retirement age can be calculated as follows
= 56+65+62+53+68+58+65+52+56/9
= 535/9
= 59.44
Hence the mean retirement age is 59.44
Consider the sequence:
1000,-500,250,-125
What is the 7th number in the sequence? Write your answer as a fraction
Answer:
The 7th number in the sequence is [tex]\frac{125}{8}[/tex]
Step-by-step explanation:
Geometric sequence:
In a geometric sequence, the quotient between consecutive terms is always the same, called common ratio.
The nth term of a geometric sequence is given by:
[tex]A_n = A(0)r^{n-1}[/tex]
In which A(0) is the first term and r is the common ratio.
1000,-500,250,-125
This means that [tex]A(0) = 1000, r = -\frac{500}{1000} = -\frac{1}{2}[/tex]
So
[tex]A_n = A(0)r^{n-1}[/tex]
[tex]A_n = 1000(-\frac{1}{2})^{n-1}[/tex]
What is the 7th number in the sequence?
This is [tex]A_7[/tex]. So
[tex]A_7 = 1000(-\frac{1}{2})^{7-1} = \frac{1000}{64} = \frac{125}{8}[/tex]
The 7th number in the sequence is [tex]\frac{125}{8}[/tex]
24 percent discount from 85 dallors
Answer: Purchase Price: $85. Discount: (85 x 24)/100 = $20.40
Final Price:
85 - 20.40 = $64.60
Answer:
63.60, or 63.6, or 67, how u round it
Step-by-step explanation:
Smartness
Find the volume of the prism.
Answer:
Its A.
Step-by-step explanation:
remember its rectangle 1 + rectange 2.Once i did that i have seen the total volume must be greater then answer B
so it must be a