Answers
Answer:
x = 10 units
Step-by-step explanation:
By theorem,
Perpendicular drawn from the center to the chord of a circle, bisects the chord.
AB = BC = 6
In right triangle ΔCBD,
By applying Pythagoras theorem,
CD² = BC² + BD²
= 6² + 8²
CD = [tex]\sqrt{36+64}[/tex]
= 10
Since, CD and the side measuring x are the radii of the circle D.
x = CD = 10 units
Related Questions
pls me with this maths assignment
Answers
Answer:
56ft
Step-by-step explanation:
5+4+12+11+16+8=56
A contractor is required by a county planning department to submit 1, 2, 3, 4, or 5 forms (depending on the nature of the project) when applying for a building permit. Let y denote the number of forms required for an application, and suppose the mass function is given by p(y) 5 cy for y 5 1, 2, 3, 4, or 5. Determine the value of c, as well as the long-run proportion of applications that require at most three forms and the long-run proportion that require between two and four forms, inclusive.
Answers
Answer:
[tex](a)\ c = \frac{1}{15}[/tex]
[tex](b)\ 40\%[/tex]
[tex](c)\ 60\%[/tex]
Step-by-step explanation:
The given parameters can be represented as:
[tex]P_Y(y) \ge 0, y =1,2,3,4,5[/tex]
[tex]P_y(y) = cy, y=1,2,3,4,5[/tex]
Solving (a): The value of c
To do this, we make use of the following rule;
[tex]\sum\limit^5_{y=1}P_Y(y_i) = 1[/tex]
Given that:
[tex]P_y(y) = cy, y=1,2,3,4,5[/tex]
This is translated to:
[tex]c*1 + c * 2 + c * 3 + c * 4 + c * 5 = 1[/tex]
[tex]c + 2c + 3c + 4c + 5c = 1[/tex]
[tex]15c = 1[/tex]
Solve for c
[tex]c = \frac{1}{15}[/tex]
(b) The proportions of applications that requires at most 3 forms
This implies that: y = 1,2,3
So, we make use of:
[tex]P(Y \le 3) = P(Y=1) + P(y=2) + P(Y=3)[/tex]
Recall that:
[tex]P_y(y) = cy, y=1,2,3,4,5[/tex]
Substitute [tex]c = \frac{1}{15}[/tex]
[tex]P_y(y) =\frac{1}{15}y[/tex]
So:
[tex]P(Y \le 3) = P(Y=1) + P(y=2) + P(Y=3)[/tex]
[tex]P(Y\le 3) = \frac{1}{15} * 1 +\frac{1}{15} * 2 +\frac{1}{15} * 3[/tex]
[tex]P(Y\le 3) = \frac{1}{15} +\frac{2}{15} +\frac{3}{15}[/tex]
Take LCM
[tex]P(Y\le 3) = \frac{1+2+3}{15}[/tex]
[tex]P(Y\le 3) = \frac{6}{15}[/tex]
[tex]P(Y\le 3) = 0.4[/tex]
Express as percentage
[tex]P(Y\le 3) = 0.4*100\%[/tex]
[tex]P(Y\le 3) = 40\%[/tex]
(c) The proportions of applications that requires between 2 and 4 forms (inclusive)
This implies that: y = 2,3,4
So, we make use of:
[tex]P(2 \le Y \le 4) = P(Y=2) + P(Y=3) + P(Y=4)[/tex]
[tex]P(2 \le Y \le 4) = 2 * \frac{1}{15} + 3 * \frac{1}{15} + 4 * \frac{1}{15}[/tex]
[tex]P(2 \le Y \le 4) = \frac{2}{15} + \frac{3}{15} + \frac{4}{15}[/tex]
Take LCM
[tex]P(2 \le Y \le 4) = \frac{2+3+4}{15}[/tex]
[tex]P(2 \le Y \le 4) = \frac{9}{15}[/tex]
[tex]P(2 \le Y \le 4) = 0.6[/tex]
Express as percentage
[tex]P(2 \le Y \le 4) = 0.6 * 100\%[/tex]
[tex]P(2 \le Y \le 4) = 60\%[/tex]
Just need the answer
Answers
Answer:
It seems no one can eat just one potato ship
Step-by-step explanation:
¿para cuantos días alcanza una bolsa de 7,5 kg de alimento balanceado, si la ración diaria que le dan al perro de paula equivale a las dos quintas partes de 1kg?
Answers
Answer:
7,5*1000/2=37,5
Step-by-step explanation:
pls answer fast will give branliest
if u send links will report so mf fast
Answers
Answer:
m∠1= 17°
m∠2=73°
m∠3=90°
m∠4=51°
m∠5=17°
m∠6=129°
Step-by-step explanation:
Hope it helps...
Have a great day!!
The sides of a triangle are in the ratio 1: 2: 4. The difference between the longest side
and the shortest side is 84 cm. What is the perimeter of the triangle?
Answers
The sides of a triangle are in the ratio 1 : 2 : 4. The difference between the longest side and the shortest side is 84 cm. What is the perimeter of the triangle ?
Solution:-The sides of a triangle are in the ratio 1: 2: 4. (Given)
Let the three sides of a triangle be x, 2x and 4x respectively.
So,
ATQ ,
4x - x = 84
3x = 84
x = [tex] \bf \frac{84}{3} [/tex]
x = 28[tex] \therefore [/tex] Longest side = 4x = 4 × 28 = 112 cm.
Shortest side = x = 28 cm.
And, the other side = 2x = 2 × 28 = 56 cm
Now, we have to find the perimeter of the triangle.
Hence, Perimeter of the triangle = (112 + 56 + 28) cm = 196 cm.
The perimeter of the triangle is 196 cm. [Answer]In the polyhedron above x=5 mm, y=9 mm, and z=4 mm. The volume of the polyhedron is _____ mm3. Round your answer to the tenths place.
Answers
Answer:
180 mm³
Step-by-step explanation:
The polyhedron is an oblique rectangular prism
Area of the oblique rectangular prism = base area * height
height = z = 4 mm
Base area = L*W
L = y = 9 mm
W = x = 5 mm
Base area = 9*5 = 45 mm²
Area of the oblique rectangular prism = 45*4 = 180 mm³
Graph y = 2.3 - 7.
y
→
AU
8+
7+
6+
5
CO
3+
2+
1+
MY
-9-8-7 -6 -5 4 -3 -2
1 2 3 4 5 6 7 8 9
Cou
-3
SA
-5-
-6-
-7-
-8
MY
Pra
Answers
Answer:
4b+7h+935*213
Step-by-step explanation:
Find the circumference of the circle and round to the nearest tenth
Answers
Answer: 13.8
Step-by-step explanation: (3.14)(4.4) round to the nearest tenth
Find the average value of a function
Answers
Answer:
The average value of g is:
[tex]\displaystyle g_{ave}=\frac{1}{6}e^6-\frac{49}{6}\approx 59.071[/tex]
Step-by-step explanation:
The average value of a function is given by the formula:
[tex]\displaystyle f_{ave}=\frac{1}{b-a}\int_a^b f(x)\, dx[/tex]
We want to find the average value of the function:
[tex]g(x)=e^{3x-3}-4x[/tex]
On the interval [1, 3].
So, the average value will be given by:
[tex]g_{ave}=\displaystyle \frac{1}{3-1}\int_1^3 e^{3x-3}-4x\, dx[/tex]
Simplify. We will also split the integral:
[tex]\displaystyle g_{ave}=\frac{1}{2}\left(\int_1^3e^{3x-3}\, dx-\int _1^3 4x\, dx\right)[/tex]
We can use u-substitution for the first integral. Letting u = 3x - 3, we acquire:
[tex]\displaystyle u=3x-3\Rightarrow du = 3\, dx\Rightarrow \frac{1}{3} du=dx[/tex]
We will also change the limits of integration for our first integral. So:
[tex]u(1)=3(1)-3=0\text{ and } u(3)=3(3)-3=6[/tex]
Thus:
[tex]\displaystyle g_{ave}=\frac{1}{2}\left(\frac{1}{3}\int_0^6 e^{u}\, du-\int _1^3 4x\, dx\right)[/tex]
Integrate:
[tex]g_{ave}=\displaystyle \frac{1}{2}\left(\frac{1}{3}e^u\Big|_0^6-2x^2\Big|_1^3\right)[/tex]
Evaluate. So, the average value of g on the interval [1, 3] is:
[tex]\displaystyle g_{ave}=\frac{1}{2}\left(\frac{1}{3}\left[e^6-e^0\right]-\left[2(3)^2-2(1)^2\right]\right)[/tex]
Evaluate:
[tex]\displaystyle\begin{aligned} g_{ave}&=\frac{1}{2}\left(\frac{1}{3}(e^6-1)-16\right)\\&=\frac{1}{2}\left(\frac{1}{3}e^6-\frac{1}{3}-16\right)\\&=\frac{1}{6}e^6-\frac{49}{6}\approx59.071\end{aligned}[/tex]
Pls help! And I will mark you as brainlist im not joking!
Answers
Answer:
[tex]third \: answer \\ if \: f(x) < 0 \\ - 6 < x < 2[/tex]
can anyone help me please
Answers
part b) measure of angle K is 110 degrees because if we know that LK and KJ are both 11 on the side, the angles should be equal, so angle L should also be 35 degrees. Once we know two angles, just subtract them from 180 to find the third angle.
180-35-35 = 110
Please help it needs me to find the volume but what is the height supposed to be?
Answers
Answer:
a=3
b=16.6
Step-by-step explanation:
(4.4 x 12) + (6x8) + (8x12)
Malia and her sister walk at a constant rate of 4 miles per hour. At this constant rate, how long should it take Malia and her sister to walk 3 miles?
A. 0.75
B. 1.25
C. 1.5
D. 12
Answers
A random sample of students was surveyed on what they eat for lunch at school. The results are shown in the table
below.
Lunch Item
Number of Students
Pizza
52
Salad
26
Burger
30
Chicken Sandwich
48
Brought lunch from home
44
If the school has 1,000 students, about how many students can the cafeteria expect to buy pizza?
208
1,000
260
52
Answers
Answer:
260
Step-by-step explanation:
you would divide 52/200 because all the numbers added up is 200 and it comes out to 0.26 and the original number of students they wanted is 1,000 so look at those zeros and move the decimal 3 times and add the zero in the empty space to get 260.
A ratio shows us the number of times a number contains another number. The number of students the cafeteria should expect to buy pizza is 260.
What is a Ratio?A ratio shows us the number of times a number contains another number.
The ratio of the number of students to the number of total students can be written as,
Ratio = (Number of students)/(Number of total students)
Ratio = 52/(52+26+30+48+44) = 52/200
Now, the same ratio is applicable to 1000 students, therefore, the ratio will be,
Number of students who prefer pizza = 1000 × (52/200) = 260
Hence, the number of students the cafeteria should expect to buy pizza is 260.
Learn more about Ratios:
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Marvin earns $9.75 per hour at his summer job. He wants to buy a video game system that costs $263.25
Enter an equation to model the relationship between the number of hours worked h and the amount earned e
The equation is:
Answers
Answer:
$9.75h=e-$263.25
Step-by-step explanation:
Multiply the polynomials (y −5)(2y+ 3)
Answers
Answer:
(-3 + -2y)(5 + -1y) = 0
Step-by-step explanation:
Simplifying
(y + -5)(2y + 3) = 0
Reorder the terms:
(-5 + y)(2y + 3) = 0
Reorder the terms:
(-5 + y)(3 + 2y) = 0
Multiply (-5 + y) * (3 + 2y)
(-5(3 + 2y) + y(3 + 2y)) = 0
((3 * -5 + 2y * -5) + y(3 + 2y)) = 0
((-15 + -10y) + y(3 + 2y)) = 0
(-15 + -10y + (3 * y + 2y * y)) = 0
(-15 + -10y + (3y + 2y2)) = 0
Combine like terms: -10y + 3y = -7y
(-15 + -7y + 2y2) = 0
Solving
-15 + -7y + 2y2 = 0
Solving for variable 'y'.
Factor a trinomial.
(-3 + -2y)(5 + -1y) = 0
Hope this helps :)
Por favor ayúdenme??
A
B
C
D
Answers
Answer:
ITS B!!! AY
Step-by-step explanation:
Can someone plz help me with my question I will pAaay you
Answers
Answer:
sure what is it
Step-by-step explanation:
Well, it depends on the question!!
(comment it if you need me to answer it)
At Ralphs Italian Ices, 145 sundaes were sold in June. Sales were up 23% in July, How many sundaes were sold in July?
Answers
To calculate a percentage, we convert to a decimal by dividing by 100. So 23% = 0.23
145 x 0.23 = 33.35 This is how many more sundaes were sold in July than June. We need to add the 145 sold in June to the increased number to find July’s total.
145 + 33.35 = 178.35
You can’t sell .035/ roughly a third of a sundae, so we round to the whole number.
9. A juice glass holds 180mL. If a client drinks 7/2 glasses , how many milliliters did
the client consume? (5 points)
Answers
Answer:
630 ml
Step-by-step explanation:
1 glass contains 180 ml juice
7/2 glasses contains = 180 × 7/2 = 630 ml
Shim bougth a pair of shoes fo $600.If she got a discount of 30% ,home much did she paid for the shoes?
Answers
Answer:
she paid 420 dollars for it
Step-by-step explanation:
30 percent of 600 is 180
Determine whether the given value makes a true statement.
NO LINKS-DRIVES-DOCS ETC.
WILL MARK BRAINLYEST
EARN LOTS OF POINTS
Answers
Answer:
Yes it is true
Step-by-step explanation:
cause 11 + 8 = 19
now give me the brainliest lol
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!! DUE TODAY I NEED HELP ASAP
A restaurant has a 15% mandatory tip rate.
(a) Complete the ratio table shown. Show your work.
Pre-Tax Bill ($): 10 __ 60 __
Tip ($) __ 12 __ 15
(b) Using the table, how can you find the total tip paid on $70?
Answers
Answer:
Subtotal 70.00
15% Tip 10.50
Total 80.50
Step-by-step explanation:
1% 0.70
2% 1.40
3% 2.10
4% 2.80
5% 3.50
6% 4.20
7% 4.90
8% 5.60
% Tip
9% 6.30
10% 7.00
11% 7.70
12% 8.40
13% 9.10
This dude above is trash and wrong, I got a 0 because of him
The length of a rectangular garden is 8m greater than twice the width the area of the garden is 280m^2 what is the width of the garden
Answers
Step-by-step explanation:
Given :-
The length of the garden 8m greater than 2 times the width.
Area of the garden is 280 m²
Let us consider the length as x and width as y.
Sp, we can day length as :-
x = 8 + 2y ---(1)
Now, we know that:-
Area of Rectangle = Length × Breadth
280 = x * y
We can replace the value of x now,
280 = y × ( 8 + 2y)
280 = 8y + 2y²
2y² + 8y - 280 = 0
y² + 4y - 140 = 0
Factorise it.
(y -10)(y + 14)
Cancelling -ve value, we get the width as 10 metres.
Hope it helps :)
Answer:
Step-by-step explanation:
Width = w
Length = 2w + 8
Area of rectangular garden = 280 square meter
length * width = 280
(2w + 8 ) *w = 280
2w * w + 8*w = 280
2w² + 8w = 280
2w² + 8w - 280 = 0
Divide the whole equation by 2
w² + 4w - 140 = 0
w² + 14w - 10w - 14 *10 = 0
w(w + 14) - 10(w + 14) = 0
(w + 14)(w - 10)= 0
w - 10 = 0 {Ignore w + 14, as measurements will not be -ve}
w = 10 m
l = 2*10 +8
= 20 +8
l = 28 m
What shape is the cross-section?
a. Triangle
b. Circle
c. Ellipse
d. Hexagon
e. Square
f. Rectangle
g. Pentagon
Answers
⚠️URGENT PLS HELP
LINKS WILL BE REPORTED
Answers
Answer:
e and c
Step-by-step explanation:
Find the cost of 6 kg rice, if the cost of 10 kg rice is 325 rupees .
Answers
Answer:
195 rupees
Step-by-step explanation:
10kg=325 rupees
6kg=?
Cross multiplication;
=6×325/10
=1950/10
=195 rupees
Simplify the expression Z^0⋅(Z^2⋅Z^−5)^4 using positive exponents
possible answers:
a.)Z^81
b.) 0
c.) 1/Z^12
d.) 1/Z^40
Answers
Which of the following scenarios shows a value of 0.4? Select all that apply.
A.
Jesse sold 40 out of 60 items at a garage sale.
B.
Jesse rode 4 out of 10 miles on his bike.
C.
Jesse finished 40 out of 100 math problems.
D.
Jesse ate 4 out of 100 jellybeans.
E.
Jesse returned 4 out of 8 library books.
Answers
Answer:
D and B
Step-by-step explanation:
The scenarios which gives a value of 0.4 is depicted by the equations B and C
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
a)
Jesse rode 4 out of 10 miles on his bike.
So , the fraction is A = 4/10 = 0.4
b)
Jesse finished 40 out of 100 math problems.
So , the fraction is A = 40/100 = 0.4
Hence , the equation is A = 0.4
To learn more about equations click :
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