Answers
Answer:
Solution given:
<J=90°[tangent to the circle is perpendicular to radius]
In right angled triangle ∆KJL
base[b]=11
hypotenuse [h]=11+7=18
perpendicular [p]=x
by using Pythagoras law
p²+b²=h²
x²+11²=18²
x²=18²-11²
x=√203
x=14.25
Related Questions
Scores on a statewide standardized test are normally distributed with a mean of 12.89 and a standard deviation of 1.95. Certificates are given to students whose scores are in the top 2% of those who took the test. This means that they scored better than 98% of the other test takers. Marcus received his score of 13.7 on the exam and is wondering why he didn’t receive a certificate. Show all work to determine whether Marcus’ score was high enough to earn a certificate. Write a letter to Marcus explaining whether or not he will be receiving a certificate. Include a brief summary of your statistical analysis in your letter.
Answers
Answer:
Marcus score is 13.7, the mean is 12.89, and the standard deviation is 1.95, so I’ll do ( 13.7 – 12.89)/ 1.95, Since Marcus' z-score is 0.415. The area to the left of the z-score is 65.9% so therefore Marcus did scored better than 65.9% of the students. So Marcus needs to score 98% better of all the other students in order for him to receive an actual certificate.
Step-by-step explanation:
What is the value of x in the figure?
A. 120°
B. 140°
C. 150°
D. 160°
Answers
At the calendar shop, wall calendars cost $10 and desk calendars cost $6. Kira spent $60 to buy 8 calendars. How many of each type of calendar did Kira buy?
Answers
Answer: 3 desk calender's and 3 wall calendars
Step-by-step explanation: 6 x 5 = 30 and 3 x 10 = 30
30 + 30 = 60
Which choice represents the fraction below as a single exponential expression ? (5 ^ 7)/(5 ^ 4)
Answers
Answer:125
Step-by-step explanation:hope this help
Two cars leave the same parking lot, with one heading north and the other heading east. After several minutes, the northbound car has traveled 4 kilometers, and the eastbound car has traveled 3 kilometers. Measured in a straight line, how far apart are the two cars?
Answers
Answer:
The distance between them is 5km
Step-by-step explanation:
Given
[tex]Car\ A =4km[/tex]
[tex]Car\ B =3km[/tex]
Required
Distance between them
The scenario can be represented with the attached image
The distance between them is then calculated using Pythagoras theorem
[tex]d^2 = 4^2 +3^2[/tex]
[tex]d^2 = 16 +9[/tex]
[tex]d^2 = 25[/tex]
Take square roots of both sides
[tex]d = \sqrt{25[/tex]
[tex]d = 5[/tex]
HELP PLEASE! I NEEDED IT! T0T
Applying the 45-45-90 Theorem, Find the lengths of the other two sides of a right triangle if the length of the hypotenuse is 4√2 inches and one of the angles is 45°.
Answers
Rule: If x is the leg of a 45-45-90 triangle, then x*sqrt(2) is the hypotenuse.
We can prove this by showing that x^2+x^2 = (x*sqrt(2))^2 is an identity. It's from the pythagorean theorem a^2+b^2 = c^2.
Put another way, if we know that a = x and b = x are the two congruent legs, then x^2+x^2 = c^2 leads to c = x*sqrt(2). This triangle is known as an isosceles right triangle.
So if 4*sqrt(2) is the hypotenuse, we match that up with the template x*sqrt(2) and see that x = 4 must be the case.
If the principal is $4,500 and the rate of interest is 8%, what is the amount of interest after one year? Formula is I =PRT
Answers
Step-by-step explanation:
I=?
P= $4500
R=8%=0.08
T=1 year
8%*0.01= 0.08
I=(4500)(0.08)(1)
(4500)(0.08)=360
360*1=360
The interest after one year is $360
Find the measures of ZX and ZY.
Z
Х
P
1649
V
102°
w
o
mZX=
o
mZY=
Answers
Answer: 303
Step-by-step explanation:
Sam is using the expression m/8n in class. what is the value of the expression when m = 4 and n = 1/2?
Answers
Answer:
1
Step-by-step explanation:
m/8n > 4/8(1/2) ( since its 1/2 all u need to do is change the fraction to whole number which is 1/2 = 0.5)
The given will become 4/4 then simplest form is 1
Please help. Find the two missing sides and write your answer as in simplified radical form.
Answers
Answer:
x and y = 5√2.
Step-by-step explanation:
This is a 45:45:90 triangle so length of x = length of y.
In this triangle the ratio of the sides is 1:1:√2
Finding length of x and y:
1/√2 = x/10
√2x = 10
x = 10/√2
= 10√2/2
= 5√2.
what is the variable if 13 and p
Answers
Answer:
p because variables are shown by letters not numbers
Hope this helped:)
Step-by-step explanation:
What is the solution of the equation?
-1 =V
-
3
Answers
Answer:
I think you mean "-1=v-3" which if that is the case the answer is V=4
Step-by-step explanation:
To know what is V.... you got to make remove the -3 and transfer it to the other side, which will change its' sign so it will be +3
the new equation: +3-1 = V
the answer: 2 = v
Meaning that V is 2,
hope it helped,
can yall help me do this
Answers
Answer:
i think its 43
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
the area of the triangle alone is 9 for the whole thing it's 63 in order to find an area of a triangle you multiply 3 and 6 then u divide that by 2
NO LINKS Please and thank you
Answers
Leah needs to order some new supplies for the restaurant where she works. The restaurant needs at least 748 knives. There are currently 214 knives. If each set on sale contains 12 knives, write and solve an inequality which can be used to determine ss, the number of sets of knives Leah could buy for the restaurant to have enough knives.
Answers
Answer: s (greater than or equal to) 44.5
Step-by-step explanation:
current # of knives = 214
knives per set = 12
knives needed = 748
# of sets = s
knives per set x (times) # of sets + current # of knives (greater than or equal to) knives needed
12s + 214 (greater than or equal to) 748
SOLVE:
12s + 214 (greater than or equal to) 748
-214 -214
12s (greater than or equal to) 534 you need to divide both sides by 12
s (greater than or equal to) 44.5
Help plz..And No links!! I repeat No links!! If you don’t know the answer don’t saying anything this is important
Answers
Answer:
169.646003294, hope this helps
Step-by-step explanation:
To solve this equation,
A= [tex]2\pi rh+2\pi r^{2}[/tex]
Since the radius is 3 meters. We know what r is. A radius of a circle or sphere is any of the line segments from its center to the perimeter. The height is 6 meters.
[tex]A=2\pi (3)*6+2\pi (3^2)\\ A=2\pi (18)+2\pi 9\\ A=113.097...+2\pi 9\\ A=113.097+56.548...\\ A=169.64600...[/tex]
Sorry, I don't feel like writing all the numbers in and also it would cut out later on.
Which graph represents a function? On a coordinate plane, a line with 2 angles crosses the x-axis at (negative .5, 0), the y-axis at (0, 1), turns at (1, 3), crosses the x-axis at (1, 0), turns at (1, negative 2), and crosses the x-axis at (2, 0). On a coordinate plane, a curved line crosses the y-axis at (0, 1.5), the x-axis at (negative 2, 0), and the y-axis at (0, negative 1.5). On a coordinate plane, a line enters the plane at point (negative 5, 4), makes a 90-degree turn at (negative 1, 0), and leaves the plane at point (negative 5, negative 4). On a coordinate plane, a line with an s curve enters the plane at point (negative 3.75, 5), crosses the x-axis at (negative .75, 0), the y-axis at (0, 0), leaves x-axis at (.75, 0), and exits the plane at point (3.75, negative 5).
Answers
Answer:
d
Step-by-step explanation:
Answer:
it is D
Step-by-step explanation:
Find the volume of the figure. Use 3.14 for Pi
Answers
Answer:
The answer would be 17
Step-by-step explanation:
The answer would be 17 because if you add 12 plus 5 That would be your answer
Find the value of 8 x n when n=9.
Answers
Answer:
72
Step-by-step explanation:
8×n
8×9
=72
just substitute 9 were n is the multiple
to check
8n=72 (divide by 8 both sides)
n=9
Can anyone help me with this problem please but write down the steps please “factor each polynomial”
Answers
Answer:
Step-by-step explanation:
18x^2-21x-60
=18x^2-(45-24)x-60
=18x^2-45x+24x-60
=3x(6x-15)+4(6x-15)
=(3x+4)(6x-15)
please help and show work
Answers
9514 1404 393
Answer:
5. x° = 38°; b° = 90°
6. m∠TSU = 110°
Step-by-step explanation:
The relationship relevant to these problems is that an inscribed angle is half the measure of the arc it intercepts. That is also true of the angle formed by a chord and a tangent.
__
5. Angle x° intercepts an arc marked 76°, so is half its measure: 76°/2 = 38°
x° = 38°
Arc b° is intercepted by an inscribed angle of 45°, so is twice that measure.
b° = 90°
__
6. Long arc SU is the remaining portion of the circle after short arc SVU is subtracted:
long arc SU = 360° -140° = 220°
Angle TSU is half that measure: 220°/2 = 110°.
m∠TSU = 110°
SOMEONE PLEASE EXPLAIN THIS TO ME. IVE GOTTEN THIS WRONT 3 TIMES AND I DONT KNOW WHAT IM DOING WRONG
Answers
Answer:
I believe the answer is 58.1 degrees
Step-by-step explanation:
acrsin 45/53=58.1
45/53 is the sin of P
5/8+3/4 over this problem(/) -2/3-5/6.
Answers
Answer:
5/8 + 3/4= 11/8
-2/3-5/6 =-3/2
Since the second is dividing the first
11/8 ÷ -3/2
Flipping; Then change the bottom to the top(Do this to the second fraction)
11/8 x -2/3
=-11/12.
Rachel has 132 baseball card his brother has 5/6 as many baseball card how many baseball card does his brother have
Answers
Answer:
110
Step-by-step explanation:
5/6 of 132 is 110
help no files and no links pls help
Answers
Answer:
X would be equal to 37 degrees
Step-by-step explanation:
Answer:
x=37
Step-by-step explanation:
118+25+x= 180
143 + x = 180
= 37
check answer by 25+118+37=180
22. The first 5 terms of a number pattern are shown below.
4, 9, 14, 19, 24,
Which expression is equivalent to the value of the nth term in the pattern?
5n -1
57
n +5
5n +3
Answers
the patterns going up in 5s and to get back to 4 you need to - 1
The expression is equivalent to the value of the nth term in the pattern is aₙ = 5n - 1. Then the correct option is A.
What is an arithmetic sequence?Let a₁ be the first term and d be a common difference. Then the nth term of the arithmetic sequence is given as,
aₙ = a₁ + (n - 1)d
The first 5 terms of a number pattern are shown below.
4, 9, 14, 19, 24
The first term of the sequence is 4 and the common difference between the terms is given as,
d = 9 - 4
d = 5
The expression is equivalent to the value of the nth term in the pattern and will be
aₙ = 4 + (n - 1) x 5
aₙ = 4 + 5n - 5
aₙ = 5n - 1
The expression is equivalent to the value of the nth term in the pattern is aₙ = 5n - 1. Then the correct option is A.
More about the arithmetic sequence link is given below.
https://brainly.com/question/12373434
#SPJ5
$3840 with a discount of 10%
Answers
Answer: 384
Step-by-step explanation: 10% also equals 0.1 so, 3840*0.1 = 384.
Answer:
$3840
Step-by-step explanation:
10%= x/10 and the x is equal to 3840. 3840/10=384 now that I know what %10 of 3840 I can take off the discount price onto the original price, 3840-384=3456. So 3456 is the final price after including the 10% discount.
The ratio of boys to girls in a class is 4:5
A) what fraction of the girls are boys?
B) what fraction of the class are girls?
Answers
Answer:
1/5
Step-by-step explanation:
bahaoapapkaknisegheusi
help me with this please
Answers
Step-by-step explanation:
y = -4x + 17
=> (4,1)
x=4 --> y = -4(4)+17=-16+17=1
(4,1) matched
=> (2,9)
x=2 --> y=-4(2)+17=-8+17=9
(2,9) matched
A(4,1)
B(2,9)
m= Y2-y1/x2-X1
= 9-1/2-4 = 8/-2=-4
y=mx+b m=decline
Y=-4x+b —> replacing by point A(4,1)
1=-4x4+b
1=-16+b
b=17
Y=-4x+17 ✔️
classifying triangles
what type of triangle is shown?
Answers
The answer is c: Scalene
Answer:
Scalene since there are no same angles nor lengths
Step-by-step explanation: