Answers
Answer:
sin θ = 12 / 13
Step-by-step explanation:
Given that :-
A right triangle having
Hypotenuse = 13
adjacent side ( Base ) = 5
Opposite side ( perpendicular ) = ?
To Find :-
sin θSolution :-
Firstly ,we need to find opposite side ( missing side ) of triangle
Using Pythagorean theorem
a ² + b ² = c ²
Where, a and b is the base and c is the height of triangle.substitute the value
( 5 ) ² + ( b) ² = ( 13 ) ²
evaluate the exponent
25 + b² = 169
subtract 25 from each side
25 - 25 + b² = 169 - 25
b ² = 144
Take the square root of each side
√b² = √144
b = 12
Hence , opposite side , b = 12
And , Finding sin θ
sin θ = opposite side / hypotenuse
sin θ = 12 / 13
Related Questions
If you apply the changes below to the reciprocal parent function, F(x) =
what is the equation of the new function?
• Horizontally stretch by multiplying by 1/6
• Translate 5 units right.
Answers
Answer:
The answer is "Option B".
Step-by-step explanation:
Please find the complete question in the attached file.
The Horizontal stretch [tex]=(\frac{1}{6 \ x})\\\\[/tex]
Translation by 5 units right[tex]=( \frac{1}{6\ x})-5[/tex]
Answer:
its A i used his answer and got it wrong
Kathleen hiked to the top of a mountain. She started the hike at 7:25 A.M. It took 3 hours and 45 minutes to get to the top of the mountain and 1 hour and 30 minutes to hike back down. What time was it when Kathleen finished the hike?
Answers
Answer: 11:45 am
Step-by-step explanation:
10:15
toget back down 10
;15
Please help me, this is PEDMAS
Answers
Answer:
1). 183
2). 83
3). 353
4). -2652
5). 59
6). 510
7). -293
8). 79
9). 78
10). 87
Step-by-step explanation:
Considering order of operation, parenthesis must be simplified first.
The solutions to the given questions are shown below;
[tex]1). \ \ 5+(7\times (3+2)^2) + 3=8 + (7\times (5)^2) = 8 + (7\times 25) = 8 + 175 = 183[/tex]
[tex]2). \ 16+(8+ (6+2)^2) - 5=16-5 + (8+ (8)^2) = 11 + (8+64) = 11 + 72 = 83[/tex]
[tex]3). \ (15+ 3)^2 + ((14+6)+3^2)= (18)^2 + ((20) + 9) = 324 + (29) = 353[/tex]
[tex]4). \ ((11+ 2)-(24+2)^2)\times 2^2 = (13 - 676) \times 4 = (-663)\times 4 = -2652[/tex]
[tex]5). \ ((4+3)^2+ 6) -5+3^2= (49 + 6) - 5 + 9= (49+6+9) - 5 = 64-5 = 59[/tex]
[tex]6). \ (20+ 2)^2 +((15+7)+2^2)= (484) + (22+ 4)= 484 + 26 =510[/tex]
[tex]7). \ ((12 + 4)- (15+3)^2+ 5^2 = (16 - 324) + 25 = -318 + 25 = -293[/tex]
[tex]8). \ (6^2+ (24+ 3+5^2)) - 3^2= (36 + (52)) - 9 = (88) - 9 = 79[/tex]
[tex]9). \ ((10-4)^2\times 2) + 2 + 2^2= ((6)^2 \times 2) + 2 + 4 = (36\times 2)+ 6 = 72 + 6 = 78[/tex]
[tex]10). \ (7^2 + (16 + 8 + 2^2)) + 3^2 = (49 + 28) + 9 = 78 + 9 = 87[/tex]
Can anyone please help me with this ? Thanks 2.5m = 75
Answers
2.5m = 75
To find m divide both sides by 2.5:
M = 75/2.5
M = 30
Answer:
m = 30
Step-by-step explanation:
2.5 m = 75
To find m divide 75 by 25
m = 75 / 2.5
m = 30
WILL MARK BRAINLEST!!!
find the domain and range of following
Answers
Answer:
{xcR} (x is all real numbers) and {y[tex]\leq[/tex]2[tex]\sqrt{\frac{y-1}{2} }[/tex]+1}
Step-by-step explanation:
1st: Find x by squaring both sides, subtracting 1 from both sides, and dividing by 2 from both sides to get x= [tex]\sqrt{\frac{y-1}{2} }[/tex]
2nd: Plug in x for y=[tex]2x^{2}[/tex]+1 which equals y=2([tex]\sqrt{\frac{y-1}{2} }[/tex])+1
3rd: This gives you the range (y) which is {y[tex]\leq[/tex]2[tex]\sqrt{\frac{y-1}{2} }[/tex]+1}
4th: domain is all real numbers
I hope this helped because this took me 30 minutes to do. I had to pull out my algebra math book to check I did it right. I hope I was right!
PLEASE HELP! If there are 19 successful outcomes in a sample with a size of 25, what is the sample proportion? O A. 0.32 B. 0.96 O C. 0.76 D. 0.52 SUBMIT
Answers
Answer:
0.76
Step-by-step explanation:0.76
A grocery store recently sold 6 cartons of vanilla yogurt and 12 other cartons of yogurt . Based on past data, how many of the next 48 cartons of yogurt sold should you expect to be vanilla?
Answers
Answer:
if following simple addition/multiplication, the answer should be 12 cartons of vanilla.
Evaluate u + xy, for u = 20, x = 5, and y = 7.
Answers
Answer:
55
Step-by-step explanation:
u + xy, for u = 20, x = 5, and y = 7
u + xy = 20 + 5 * 7 = 20 + 35 = 55
Step-by-step explanation:
hear is your please check attachment
i will mark brainliest
which statement best describes the are of Triangle ABC shown below?
A: it is going to have the area of a square of side lengths 6 units.
B it is twice the area of a square of side lengths 6 units.
C is one half the area of a rectangle with sides 6 units * 2 units.
Dit is twice the area of a rectangle with sides 6 units comes with two units.
Answers
9514 1404 393
Answer:
C is one half the area of a rectangle with sides 6 units * 2 units
Step-by-step explanation:
The area of any triangle is half the area of a rectangle of the same height and width. Here, the triangle has a width of 6 units and a height of 2 units. Its area is ...
one half the area of a rectangle with sides 6 units by 2 units
An educator wants to determine whether early exposure to school will affect IQ. He enlists the aid of the parents of 12 pairs of preschool-age identical twins who agree to let their twins participate in this experiment. One member of each twin pair is enrolled in preschool for 2 years while the other member of each pair remains at home. At the end of the 2 years, the IQs of all the children are measured. The results follow.
IQ
Pair Twins at
preschool Twins at
home
1 109 116
2 122 119
3 110 106
4 119 115
5 114 118
6 112 103
7 128 125
8 114 116
9 108 107
10 117 123
11 117 116
12 106 104
Does early exposure to school affect IQ? Use α = 0.052 tail.
tobt =
Answers
(x^2+2x-1)+(2x^2 – 2x+1)
Answers
9514 1404 393
Answer:
3x^2
Step-by-step explanation:
Add coefficients of like terms.
(x^2 +2x -1) +(2x^2 -2x +1)
= (1 +2)x^2 +(2 -2)x +(-1 +1)
= 3x^2 +0x +0
= 3x^2
Answer:
3x^2
Step-by-step explanation:
(x^2+2x−1)+(2x^2−2x+1)
Combine x^2 and 2x^2 to get 3x^2.
3x^2+2x−1−2x+1
Combine 2x and −2x to get 0.
3x ^2−1+1
Add −1 and 1 to get 0.
3x^2
help urgent please
the graphs below have the same shape. what is the equation of the blue graph?
no links please
Answers
Answer:
D
Step-by-step explanation:
If you add or subtract three outside of the exponent (ex: x^2 + 3), then the parabola moves up and down.
If you add or subtract the number inside the exponent (ex: (x+3)^2), then the parabola moves side to side.
If you add three, the parabola moves left.
Thus, the answer is D.
Does a even number have any related numbers that are odd like 3 or 7?
Answers
Answer:
I do not think that there is any even numbers related to odd numbers
x=ky a. if x=15 when y=14.find the value of k.. b..Find x when y=70 c...find y when x=45
Answers
Step-by-step explanation:
Given that,
a. x = 15 and y = 14
The equation is :
x = ky
or
[tex]k=\dfrac{x}{y}[/tex]
Put all the values,
[tex]k=\dfrac{15}{14}\\\\k=1.07[/tex]
b. Now, put y = 70 and k = 1.07.
x = 1.07×70
x = 74.9
c.
Put x = 45 and k = 1.07.
[tex]y=\dfrac{x}{k}\\\\y=\dfrac{45}{1.07}\\\\y=42.05[/tex]
Hence, this is the required solution.
help me out pleaseeee
Answers
Answer:
The correct option is (b).
Step-by-step explanation:
The solution of the given polynomial is :
[tex](-\dfrac{1}{3},4)[/tex]
x = 1/3 and y = -4
i.e.
Sum of roots = (1/3-4) = -11/3
Product of roots = (1/3)(-4) = -4/3
The quadratic equation is as follows :
[tex]x^2+(\text{sum of roots})x+\text{Product of roots}=0[/tex]
Put all the values,
[tex]x^2+\dfrac{-11}{3}x+\dfrac{-4}{3}=0\\\\3x^2-11x-4=0[/tex]
So, the correct option is (b).
A museum conducts a survey of its visitors in order to assess the popularity of a device which
is used to provide information on the museum exhibits. The device will be withdrawn if fewer
than 20% of all of the museum’s visitors make use of it. Of a random sample of 100 visitors,
15 chose to use the device.
i. Carry out an appropriate hypothesis test at the 5% significance level to
see if the device should be withdrawn and state your conclusions.
ii. Calculate the p-value of the test
Answers
Answer:
i:
The appropriate null hypothesis is [tex]H_0: p \geq 0.2[/tex]
The appropriate alternative hypothesis is [tex]H_1: p < 0.2[/tex]
The p-value of the test is 0.1057 > 0.05, which means that there is not sufficient evidence that fewer than 20% of the museum visitors make use of the device, and so, it should not be withdrawn.
ii:
The p-value of the test is 0.1057
Step-by-step explanation:
Question i:
The device will be withdrawn if fewer than 20% of all of the museum’s visitors make use of it.
At the null hypothesis, we test if the proportion is of at least 20%, that is:
[tex]H_0: p \geq 0.2[/tex]
At the alternative hypothesis, we test if the proportion is less than 20%, that is:
[tex]H_1: p < 0.2[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.2 is tested at the null hypothesis:
This means that [tex]\mu = 0.2, \sigma = \sqrt{0.2*0.8} = \sqrt{0.16} = 0.4[/tex].
The device will be withdrawn if fewer than 20% of all of the museum’s visitors make use of it. Of a random sample of 100 visitors, 15 chose to use the device.
This means that [tex]n = 100, X = \frac{15}{100} = 0.15[/tex]
Test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.15 - 0.20}{\frac{0.4}{\sqrt{100}}}[/tex]
[tex]z = -1.25[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample proportion below 0.15, which is the p-value of z = -1.25.
Looking at the z-table, z = -1.25 has a p-value of 0.1057.
The p-value of the test is 0.1057 > 0.05, which means that there is not sufficient evidence that fewer than 20% of the museum visitors make use of the device, and so, it should not be withdrawn.
Question ii:
The p-value of the test is 0.1057
A pair of shoes that normally cost $24 is 25% off. what is the selling price of the jeans?
Answers
Answer:
The selling price of the shoe is $18
Step-by-step explanation:
Hey there!
According to the question, the normal cost price of pair of shoes is $24 (i.e $24 is MP= marked price).
Also, there is 25% off. (i.e discount)
Now,
SP (selling price) = MP - discount% of MP
or, SP = 24 - 25% of 24
or, SP= 24 - 6
Therefore, the SP of the shoes is $18.
Hope it helps!
$18
The answer is $18
Click on the solution set below until the correct one is displayed.
Answers
Answer:
You need to add the picture unless we cannot answer your question
Step-by-step explanation:
Please add the picture it would be very useful and essential to find the answer
Answer:
Add pictures plis
Step-by-step explanation:
1 point
1. To win a prize, Jada must get a ball with an even number. Should she try
to win the prize using the tank of table tennis balls or the tank of golf balls?
A large fish tank is filled with table tennis balls with numbers written on them. Jada chooses 10
table tennis balls from the tank and writes down their numbers.
1
3
5
1
3.2
4
1
5
3
A second tank is filled with golf balls with numbers written on them. Jada chooses 10 golf balls
from the tank and writes down their numbers.
1
4
5
2.
6
2
2
1
4
O Jada should use the tank of tennis balls.
O Jada should use the tank of golf balls.
1b. Explain your reasoning."
Answers
Answer:
Step-by-step explanation:
What Jada needs is a tank which gives him a higher or greater probability of selecting an even number :
Tennis balls :
Total outcome = 10
Even outcomes = (2, 4) = 2
Golf balls :
Total outcome = 10
Even outcomes = (4,2,6,2,2,4,8) = 7
Probability = number of outcomes / number of trials
For tennis balls
P(even) = 2 / 10 = 0.5
For golf :
P(even) = 7/10 = 0.
someone please help! (listing BRAINLIST and giving points) :)
Answers
thx thx thx thx thx thx thx sa points sabi mo give away eh
I hope this is help full to you
If Volume of a Prism=36 m3
, then what is the volume of a pyramid?
Answers
V(volume of pyramid) = ⅓ x V(volume of prism)
V(pyramid) = 1 x 36 m³/3V(pyramid) = 12 m³___________________________
And, to get the volume of prism, simply multiply the volume of pyramid by 3.
if volume of pyramid=12m³, then volume of prism is 36 m³.
Solution;:
V(volime of prism) = V(volume of pyramid) x 3
V(prism) = 12m³ x 3V(prism) = 36 m³___________________________
Hence, there are 3 pyramids, and each pyramid has a volume of 12m³, these can exactly fit inside a prism with a volume of 36m³.
round 5763 to the nearest hundred
Answers
Answer:
[tex]5800[/tex]
Step-by-step explanation:
Hope it is helpful...
Answer:
5800
Step-by-step explanation:
5763
7 is in the hundreds place
We look at the tens place to determine how to round
If the tens place is 5 or above we round up, if it is 4 or less- leave it alone
Since 6 is 5 or above, we round the 7 up
5763 rounds to 5800
Choose which two numbers the following will fall between: *
V156 PLEASE HELP ME FASTTTTT
Answers
[tex]\sf\purple{A.\:Between \:12\:and\:13.}[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] \sqrt{156} \\ = 12.4899 \\ = 12.49[/tex]
Therefore, [tex] \sqrt{156} [/tex] will fall in between 12 and 13.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]
Which of the following statements is true for ∠a and ∠b in the diagram?
Answers
Step-by-step explanation:
a and b are corresponding angles
what is the slope of the line that passes through these two points?
Answers
Answer:
The answer seems to be 3/1.
Step-by-step explanation:
Use the equation:
(y2-y1)/(x2-x1)
play help me on this
Answers
Answer:
8n+10
Step-by-step explanation:
gimmi brainiest answer or me no give cookie
ANSWER: 8n+10
which statement is true? please help!
Answers
please answer thank you
Answers
Answer:
37 / 16
Step-by-step explanation:
_____________________
area of a trapezium.
Answers
Answer:
Step-by-step explanation:
A= (a + b) * h/2
Answer:
what they said
Step-by-step explanation:
yeah what they said
9 sprinters have made it to the Olympic finals in the 100-meter race. In how many different ways can the
gold, silver, and bronze medals be awarded?
Answers
Answer:
in three different ways the first one gets a gold one the other 4 printers get silver n the last 4 printers get bronze.