Answer:
Step-by-step explanation:
take 34 degree as reference angle
using tan rule
tan 34=opposite/adjacent
0.67=x/16
0.67*16=x
10.72=x
10.7=x (after converting it to the nearest tenth)
in a bag I have 16 yellow marbles, 14 by marbles and 10 black marbles. If I draw to marbles, one at a time, what’s my probability of drawing a black marble, putting it back and then choosing a yellow marble
Answer:
1/10
Step-by-step explanation:
There are 16+ 14+10 = 40 marbles
P( black) = black/total = 10/40 = 1/4
We put it back
There are 16+ 14+10 = 40 marbles
P( yellow) = yellow/ total = 16/40 = 2/5
Multiply the probabilities together
P( black, yellow) = 1/4 * 2/5
= 2/20 = 1/10
please answer all thanks
Answer:
solution given:
5.
Cos 42=adjacent/hypotenuse
cos 42=x/32
x=Cos 42*32
x=23.8
6.
sin 26=opposite/hypotenuse
sin26=22/x
x=22/sin26
x=50.19
x=50.2
There are 15 boys and 12 girls in Rosemary’s class. One of the students is selected at random to be the class monitor. What is the probability the student selected is a girl?
A.
45
B.
59
C.
54
D.
49
Answer:
D.
Step-by-step explanation:
The probability the student selected is a girl will be;
⇒ 0.44
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
There are 15 boys and 12 girls in Rosemary’s class.
One of the students is selected at random to be the class monitor.
Now,
Since, There are 15 boys and 12 girls in Rosemary’s class.
Hence, Number of students = 15 + 12
= 27
So, The probability the student selected is a girl = 12 / 27
= 0.44
Therefore, The probability the student selected is a girl = 0.44
Learn more about the probability visit:
https://brainly.com/question/13604758
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which are useful ways of finding the value of a variable
Answer:
writing an equation or drawing a graph
Step-by-step explanation:
A journey between two towns, Pietermaritzburg and Durban, is exactly 90 km 3.1 Use a graph (with at least 5 different speeds in km/h) to model how variation in speed (x) over the journey causes variation in time taken (y) to complete the trip.
Answer:
Speed in km/hr Time in Minutes
90 60
45 120
30 180
15 360
10 540
time Decrease when speed increase
Number of times the speed is increased the number of times time taken is reduced so it is not possible to take no time at all
as we can see from the graph that it is exponential , reduction in time keep reducing with increase in speed
Step-by-step explanation:
please help! find the surface area of the prism
Answer:
1. 172 cm²
2. 226.56 cm²
3. 336 cm²
4. 284 cm²
Step-by-step explanation:
which one ? all ?
a surface area of an object is always the sum of the individual shapes areas on its surface.
1. 6 rectangles (length×width)
2 rectangles of 2×8 = 16 cm²
32 cm²
2 rectangles of 2×7 = 14 cm²
28 cm²
2 rectangles of 7×8 = 56 cm²
112 cm²
total : 32+28+112 = 172 cm²
2. 2 triangles and 3 rectangles
2 triangles (baseline × height / 2) = 7.2×4.8/2 = 17.28 cm²
34.56 cm²
2 rectangles 10×6 = 60 cm²
120 cm²
1 rectangle 10×7.2 = 72 cm²
72 cm²
total : 34.56+120+72 = 226.56 cm²
3. 2 triangles (right-angled) and 3 rectangles
2 triangles (a×b/2) = 8×6/2 = 24 cm²
48 cm²
1 rectangle 6×12 = 72 cm²
72 cm²
1 rectangle 8×12 = 96 cm²
96 cm²
1 rectangle 10×12 = 120 cm²
120 cm²
total : 48+72+96+120 = 336 cm²
4. 6 rectangles
2 rectangles of 3×10 = 30 cm²
60 cm²
2 rectangles of 3×9 = 27 cm²
54 cm²
2 rectangles of 10×9 = 90 cm²
180 cm²
total : 60+54+180 = 294 cm²
Which of the following values have 3 significant figures? Check all that apply.
OPTION C AND D
99.8 AND 458 are the values have 3 significant figures
Please help, last week of school and I don’t understand this at all
Answer:
The answer to the problem is C
Answer:
The correct answer is B
Step-by-step explanation:
It's because when you're graphing the equation, more than or equal to symbol is a black line, therefore you can cross out A and C. It's B because it's more than 0, D if it was graphed would have the other side shaded, therefore its b
what is 41393415 in kg?
Answer:
41393415 in kg is 1.8776E+07, or about 18775737.2.
Step-by-step explanation:
For this equation, you should divide 41393415 by approximately 2.20462262 to get your answer of 1.8776E+07 or about 18775737.2.
Which of the following is a sinusoid? A. y = cos(x) - 2 B. x^2 + y^2 = 1 C. y = 3sqrtx D. x^2/3+y^2/6=1
Answer:
A. y = cos(x) - 2
Step-by-step explanation:
The word "sinusoid" means the graph has a shape of the sine function that smoothly goes up and down.
However, the cosine function also has the same shape but the only thing is that it is horizontally translated. Thus, the cosine function is the sinusoid.
Suppose a monument in the center of your town casts a shadow that is 32 feet long. If the angle of elevation is 47°, what is the height of the monument?
Answer:
Step-by-step explanation:
Using the solution diagram below ;
Let height of monument = h
Using trigonometric relation :
Tan θ = Opposite / Adjacent
Tan 47 = h / 32
h = tan 47 * 32
h = 34.315 feets
h = 34.3 feets
What is the volume of the figure below in cubic meters
756
936
1008
1080
Question 13 of 47
What is the sum of the complex numbers below?
(5-8i) + (1-11i)
a. 6+19i
b. -6+19i
c. -6-19i
d. 6-19i
Answer:
d. 6-19i
Step-by-step explanation:
(5-8i)+(1-11i)
Step 1: Combine like terms within the parenthesis. There are no like terms within the parenthesis. So, drop the parenthesis and move on to the next step.
(Remember!! If you would have had a negative sign in front of either parenthesis, you would need to distribute out the negative sign).
5 - 8i + 1 - 11i
Step 2: Now add like terms.
5 + 1 - 8i - 11i
6 - 19i
You can't combine any more like terms, so this is your final answer.
6 - 19i
Find the value Z a/2 needed to construct a confident
interval with the given level of 99.7%
Answer:
The critical value is [tex]Z_{\frac{\alpha}{2}} = 2.96[/tex]
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.997}{2} = 0.0015[/tex]
Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.0015 = 0.9985[/tex], so Z = 2.96.
The critical value is [tex]Z_{\frac{\alpha}{2}} = 2.96[/tex]
Find the equation of the line through point (5,1) and perpendicular to 5x−y=−3.
Answer:
you will need to specify a scale and draw the line from which I will solve with simultaneous linear equations
A store offered a buy one get one free sale for a popular shirt. The manager noticed that 35% of consumers bought a red shirt, 25% a blue, and 40% a green. Assume all consumers bought either two shirts or none at all, but no consumer buys two shirts of the same color. How many consumers did not buy any of these shirts
Answer:
50%
Step-by-step explanation:
Let X = Green and red
Y = Red and blue
Z = Green and blue
( Buy green or red or blue )
⇒ (x + y) + (y + z) + (z + y) = 25 + 40 + 25
⇒ 2( x + y + z) = 100
∴ x + y + z = 50
Buy at least one shirt = 50%
So, did not buy any shirt = 100 - 50
= 50%
The area of a rectangle is represented by 12n^2 - 19n – 21. If the width is 3n - 7, which expression represents the perimeter?
A. 7n - 4
B. 7n + 4
C. 14n - 8
D. 14n + 8
pls help!!!
Answer:
C 14n - 8
Step-by-step explanation:
area of rectangle = length × width = 12n² - 19n - 21
width = 3n - 7
so, what do we need to multiply with width to get the expression of the area ?
4n + 3
(because we think, what do we need to multiply 3n with to get 12n², and what to multiply -7 to get -21)
control : (3n-7)×(4n+3) = 12n²-28n+9n-21 = 12n²-19n-21
perimeter is now 2× length + 2× width
p = 2(3n-7) + 2(4n+3) = 6n - 14 + 8n + 6 = 14n - 8
Which expression represents the following statement? The quotient of 16 and 4 times 7 less than 11. (4 points)
Answer:
16/ 4 (11-7)
Step-by-step explanation:
The phrase "quotient" tells us that there is division involved. The phrase "times" tells us that there is multiplication involved. The phrase "less" tells us that there is subtraction involved. Using these terminologies and clues, you can basically put together the equation 16/ 4 (11-7).
The answer I put is wrong. SO don't put that as a answer. NEED TO EXPLAIN VERY IMPORTANT
Answer:
c
Step-by-step explanation:
OK 250 divided by 40 equals 6.25 so she would need 6 bags at least, i would say its your answer but you said its wrong so
Answer:
Solution given:
Annie needs 250 lb of cement to fix the outer step.
Each bag hold 40 lb of cement.
Now
40 lb =1bag
we need
250lb= ? bag.
we have
no of bag =needed lb/1 bag's lb=250/40=250/40=6.25
we do not need more than 7 bags
Annie needs 7 bags.
So
The required inequality is:
b≥7.
1. Find P (phone has internet or phone plays music) using this Venn diagram.

2. Explain why we need to subtract P(A and B) in the equation P(A or B) = P(A) + P(B) - P(A and B).
Answer:
tough question guy needed more points to answer
Step-by-step explanation:
MARK AS BRAINLIESTThe surface area of this cylinder is
Find the area of the shaded religion.
Giving brainliest! <3
Answer:
252
Step-by-step explanation:
12*18+6*6
Answer:
about 180 tell me if im wrong
Little help here
i finished Part A
Part B i dont know it ;-;
Answer:
image is not clear
Step-by-step explanation:
Point P is the center of the circle below. What is the exact area
of the shaded sector in terms of pi?
A. 16 pie units?
B. 48 pi units?
C. 120 pi units?
D. 192pi units
NEED HELP ASAP PLEASE
Answer:
[tex]Area =192\pi[/tex]
Step-by-step explanation:
Given
[tex]\theta = 120^o[/tex]
[tex]r =24[/tex]
Required
The area of the shaded sector
This is calculated as:
[tex]Area =\frac{\theta}{360} * \pi r^2[/tex]
This gives
[tex]Area =\frac{!20}{360} * \pi *24^2[/tex]
[tex]Area =\frac{1}{3} * \pi *576[/tex]
[tex]Area =\pi *192[/tex]
[tex]Area =192\pi[/tex]
Find the value of x using the Pythagorean theorem
Answer:
Step-by-step explanation:
a^2+b^2=c^2
16^2+x^2=20^2
256+x^2=400
x^2=400-256
x^2=144
x=[tex]\sqrt{144[/tex]
x=12
Convert the following equation to slope-intercept form to graph: 7x-y =_3
Answer:
y intercepts are (0,3), x intercepts are (0.43, 0)
Step-by-step explanation:
I think that's correct I'm not to sure.
If the measure of angle 2 is 2x+3 and the measure of angle 4 is 4x-7, what is x?
Answer:
-92
Step-by-step explanation:
2x+3-4x-7=180
The cost to rent a car at one agency is $24.50 per day plus an additional $15.99 fee for insurance. At a different agency, the cost to rent a car is
$27.50 per day, but the insurance is only an additional $3.99 fee. Which equation could be used to find the number of days, d, at which the
rental fee is the same for both agencies?
Answer:
Step-by-step explanation:
Formulas:
C = 24.50d + 15.99
C = 27.50d + 3.99
To determine if the amount of money spent on alcohol increases as the semester continues, the same individuals were surveyed in August and in November. The amount that they spent on alcoholic beverages over one weekend in each of the months was compared. In this problem, we want to make inferences about:
Options for the question:
a. one mean
b. comparing means from dependent samples
c. comparing means from 2 independent samples
d. one proportion e. comparing proportions from 2 independent samples
f. comparing proportions from dependent samples
Answer:
b. comparing means from dependent samples
Explanation:
The samples are dependent as same individuals are sampled over the months(August and November). Therefore individuals sampled in August will likely show some of the same traits in November. Also we are comparing means since we are working with mean of alcohol consumed for each period and then comparing with another period/months.
84/120 simplified as a fraction