Answer:
a) m∠BPD = 120°
b) m∠BC + m∠AD = 120°
Step-by-step explanation:
a) To solve for question a, we make use of a theorem called the intersecting chord theorem. This states that:
The measure of the angle formed by two chords that intersect inside a circle is the average of the measures of the intercepted arcs.
The Interior angle =( The larger exterior arc + The smaller exterior arcs) ÷ 2
The larger exterior arc (m∠BD) = 170°
The small exterior arc (m∠CA) = 70°
m∠BPD = m∠BD + m∠CA/2
m∠BPD = 170° + 70°/2
= 240°/2
= 120°
b) We are to find m∠BC + m∠AD
The sum of exterior angles in a circle = 360°
360° = m∠BD + m∠CA + m∠BC + m∠AD
360° = 170° + 70° + m∠BC + m∠AD
360° = 240 + m∠BC + m∠AD
360 - 240° = m∠BC + m∠AD
Thererefore,
m∠BC + m∠AD = 120°
Answer:
1. m∠BPD = 120°
2. m∠BC + m∠AD = 120°
Find the measure Of PR
Answer:
18
Step-by-step explanation:
The formula for this is a x b = c x d where a is SR, b is FR, c is QR and d is PR. This will give us the equation 9(16) = 8(5x + 8); 144 = 40x + 64; 80 = 40x; x = 2. Now, plug this into PR which will be 5(2)+8 = 18. This is your answer.
Please help me with this problem. I will give brainliest!
Answer:
The number of people in one session that will spend within two standard deviations below the mean and one standard deviations above the mean time on Facespace is 394 people
Step-by-step explanation:
The given information are;
The mean time spent of Facespace, μ = 30 minutes
The standard deviation of the time spent daily, σ = 6 minutes
The number of people in one sitting, n = 2900 people
The time spent two standard deviations below the mean = 30 - 12 = 18 minutes
The time spent one standard deviations above the mean = 30 + 6 = 36 minutes
The Z-score values are;
[tex]Z=\dfrac{x-\mu }{\sigma }[/tex]
Which gives;
For x = 30
[tex]Z=\dfrac{36-30 }{6 } = 1[/tex]
For x = 18
[tex]Z=\dfrac{18-30 }{6 } = -2[/tex]
From the z-score table, we have;
P(Z > -2) = 1 - 0.02275 = 0.97725
P(Z < 1) = 0.84134
Therefore, the probability P(-2 < Z < 1) = 0.97725 - 0.84134 = 0.13591
Given that there are 2900 are on in one sitting, the number of them that will lie within two standard deviations below the mean and one standard deviations above the mean = 2900 × 0.13591 = 394.139 which is approximately 394 people.
Complete the sequence
8,27,64,125,.........
Just next letter
Answer:
216.
Step-by-step explanation:
These numbers are perfect cubes starting with 2^3.
2^3, 3^3, 4^3, 5^3 so the next one is 6^3, which is 216.
Help pleasee!!! Tyyyyy
Answer:
G. 7
Explanation:
The longest side must be less than the sum of the two shorter sides.
The difference between the longest and shortest sides must be less than the middle side.
l+a = 11
l < (a + 4) ... l < (11 - l + 4)
... 2 l < 15 ... l < 7.5
--Variables
l = 7 (Longest Side/Answer)
a = 4 (Other Missing Length)
m = 4 (Side Given)
PLease help me and thank you
Answer:
Hey there!
First, let's identify the point. We always go x axis first, then y axis, so the point is at (3, 8).
From the graph, we see that it means the tree is 8 feet tall and three years old.
Let me know if this helps :)
Where v is the final velocity (in m/s), u is the initial velocity (in m/s), a is the acceleration (in m/s²) and s is the distance (in meters). Find v when u is 8 m/s, a is 3 m/s², and s is 19 meters. A. 15 m B. 130−−−√ m C. 178−−−√ m D. 13 m
Answer:
C. 178−−−√ m
Step-by-step explanation:
Given the following :
v = final velocity (in m/s)
u = initial velocity (in m/s)
a = acceleration (in m/s²)
s = distance (in meters).
Find v when u is 8 m/s, a is 3 m/s², and s is 19 meters
Using the 3rd equation of motion :
v^2 = u^2 + 2as
v^2 = 8^2 + 2(3)(19)
v^2 = 64 + 114
v^2 = 178
Take the square root of both sides :
√v^2 = √178
v = √178
A 3 L bottle of oil costs $36 and contains 12 cups. Dinesh puts 1 cup of oil, 10 garlic gloves and 1 cup of
lemon juice in each batch of hummus recipe that he makes. Dinesh makes 5 batches of hummus.
What is the total cost of oil that he uses in the 5 batches of his recipe?
The correct answer is $15
Explanation:
The first step is to determine the total of oil that was used for the 5 batches. To find this, you just need to multiply the amount of oil used for one batch by the total batches.
1 cup of oil per batch x 5 batches = 5 cups of oil
This means, in the 5 batches the oil Dinesh used was 5 cups of oil. Additionally, you know the total of cups in the bottle of oil is 12 cups, and these 12 cups or total costs $36. Now to find what is the cost of the 5 cups use the rule of three and cross multiplication.
12 cups of oil = $36 1. Write the values
5 cups of oil = x
12 x = 180 2. Cross multiply this means 36x 5 and 12 multipy by x
x = 180 ÷ 12 3. Solve the equation
x= 15 - Cost for 5 cups used in the batches
Can someone help!!! And explain please
Answer:
400(π+2) feet square
Step-by-step explanation:
let x be the diagonal of the cage=40√2 at the same time it is the radius of the circle ( the tiger can go in circle)
but since the cage is part of the circle and not full turn πr²/8
area of the circleπr²+ half area square
(π(40√2)²)/8 +40²/2
3200π/8+1600/2
400π+800
400(π+2) feet square
Pls answer these McQ to be the brainliest
Step-by-step explanation:
1. c
2. a
3. c
4. c
5. d
6. b
7. a
8. b
9. c
The weights of cars passing over a bridge have a mean of 3,550 pounds and standard deviation of 870 pounds. Assume that the weights of the cars passing over the bridge are normally distributed. Use a calculator to find the probability that the weight of a randomly-selected car passing over the bridge is less than 3,000 pounds.
Answer:
0.24315
Step-by-step explanation:
Using the z score formula to solve this question
z = (x - μ) / σ,
Such that:
x = raw score
μ = population mean
σ = population standard deviation.
From the question:
x = 3000
μ = 3550
σ = 870
z = (3000 - 3550) / 870
z = -550/870
z = -0.6962
Using the z score table as well as probability calculator(as requested in the question to find the z score)
The probability of having less than 3000 is obtained as:
P(x<3000) = 0.24315
Find the length of the missing side. Leave your answer in simplest radical form. A. 296 ft B. 2[tex]\sqrt{74}[/tex] ft C. [tex]\sqrt{206}[/tex] ft D. [tex]\sqrt{26}[/tex] ft
Answer:
B
Step-by-step explanation:
Since this is a right triangle and we are given the two legs, we can use the Pythagorean Theorem.
The Pythagorean Theorem is:
[tex]c^2=a^2+b^2[/tex]
Where c is the hypotenuse (longest side) and a and b are the two legs.
Plug in 10 and 14 for a and b (it doesn't matter which one) and solve for c.
[tex]c^2=10^+14^2\\c^2=100+196\\c^2=296\\c=\sqrt{296}=\sqrt{4\cdot 74}=\sqrt4\cdot\sqrt{74}=2\sqrt{74}[/tex]
Given that the quadrilateral is a parallelogram, m∠S = + 19 and m ∠T = 8x - 4, what is m∠Q?
Answer:
32
Step-by-step explanation:
Brainlist plz
Answer:
[tex]\Large \boxed{161\°}[/tex]
Step-by-step explanation:
Adjacent angles in a parallelogram add up to 180 degrees.
m∠Q and m∠S add up to 180 degrees.
m∠Q + m∠S = 180
m∠Q + 19 = 180
Subtract 19 from both sides.
m∠Q + 19 - 19 = 180 - 19
m∠Q = 161
Plz help ASAP PLZZZ!!!
Answer:
A. EF
Step-by-step explanation:
Answer:
EF
Step-by-step explanation:
The reason is because EF and BC are in the same plane
What is the approximate volume of the whole sphere? Use pie=3.14 and round to the nearest whole cubic unit.
a. 42 cubic units
b. 126 cubic units
c. 4,187 cubic units
d. 73,385 cubic units
if you could awnser this as soon as possible that would be great :)
Answer:
c. 4187 cubic units
Step-by-step explanation:
V = 4/3 π r³
= 4/3(3.14)(10)³
= 4186.6666666
A line of 8cm was measured as 8.04cm what is the percentage error
Answer:
0.5% error
Step-by-step explanation:
We can use the percentage error formula, which is
[tex]\frac{|approx-exact|}{exact}\cdot100[/tex].
We know that the approximated value was 8.04, however it is actually 8cm, so we can substitute inside the equation.
[tex]\frac{|8.04 - 8|}{8}\cdot100 \\\\\frac{0.04}{8}\cdot100 \\\\0.005\cdot100 \\\\0.5[/tex]
Hope this helped!
A company ships coffee mugs using boxes in the shape of cubes. The function g(x) = gives the side length, in inches, for a cube with a volume of x cubic inches. Suppose the company decides to double the volume of the box. Which graph represents the new function?
Answer:
The graph is attached below.
Step-by-step explanation:
The volume of the box containing the coffee mugs is,
[tex]V=x^{3}[/tex]
Then the function representing the side length, in inches, for the box is:
[tex]g(x)=x[/tex]
Now, it is provided that the company decides to double the volume of the box.
That is, the new volume will be:
[tex]V_{n}=2x^{3}[/tex]
Then the side length, in inches, for the box will be:
[tex]g_{n}(x)=\sqrt[3]{2x^{3}} =\sqrt[3]{2}x[/tex]
Then the graph representing the function, formed using the following points is:
[tex]x\ \ \ \ \ \ \ \ \ g_{n}(x)\\\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\\0\ \ \ \ \ \ \ \ \ \ \ 0\\1\ \ \ \ \ \ \ \ \ \ \ 2^{1/3}[/tex]
Answer:
c
Step-by-step explanation:
Explain how to solve 3^x-4=6 using the change of base formula log base b of y equals log y over log b. include the solution for x in your answer. Round your answer to the nearest thousandth.
Answer:
x = log 10/log 3
Step-by-step explanation:
3^x - 4 = 6
3^x = 10
We take log base 3 of both sides since log_3 3^x is simply x.
log_3 3^x = log_3 10
x = log_3 10
We have an answer for x, but it is a log base 3. We want log base 10.
Now we use the change of base formula.
log_b y = log y/log b
x = log 10/log 3
One of the factors of 6x3 − 864x is 4 x2 x + 12 x − 8
Your answer is x + 12
Hope this helped!
Answer:
x+12
Step-by-step explanation:
Correct on test
What is negative sqrt 64?
Answer:
8i. In real numbers only, this isnt possible, but if immagenary numbers are allowed then 8i is your answer
Please answer this question now
Answer:
48°
Step-by-step explanation:
arc BC = 136(2) -145 = 127
arc DC = 83(2) - 127 = 39
arc AD = 360 - 145- 127 - 39 = 48
Answer:
49 degrees
Step-by-step explanation:
Measure of arc ABC = 116*2 = 232 degrees.
Measure of arc BC = 232-145 = 87 degrees.
Measure of arc BCD = 83*2 = 166 degrees.
Measure of arc DC = 166-87 = 79 degrees.
Measure of arc AD = 360 - (145+87+79) = 360 - 311 = 49 degrees
assume the initial velocity is 60 feet/second. what is the maximum horizontal distance possible and at what angle does this occur
Answer:
h = 112.5 feets
Step-by-step explanation:
The equation for horizontal distance "h" in feet of a projectile with initial velocity v₀ and initial angle theta is given by :
[tex]h=\dfrac{v_o^2}{16}\sin\theta\cos\theta[/tex]
We know that, [tex]2\sin\theta\cos\theta=\sin2\theta[/tex]
So,
[tex]h=\dfrac{v_o^2}{32}\sin2\theta[/tex]
Now we need to find the maximum horizontal distance possible and at what angle does this occur.
For maximum distance angle should be 45 degrees. Som,
[tex]h=\dfrac{60^2}{32}\sin2(45)\\\\h=112.5\ \text{feet}[/tex]
So, 112.5 feets is the maximum possible distance.
A chocolate company has a new candy bar in the shape of a prism whose base is a 1-inch equilateral triangle and whose sides are rectangles that measure 1 inch by 2 inches. These prisms will be packed in a box that has a regular hexagonal base with 2-inch edges, and rectangular sides that are 6 inches tall. How many candy bars fit in such a box
15. Use inductive reasoning to describe the pattern. Then find the next two numbers in the pattern.
-9, -4, 1, 6, ...
Answer:
11, 16
Step-by-step explanation:
the difference between -4 and -9, 1 and -4, 6 and 1 is 5...so add 5 to 6 = 11
then 11 + 5 = 16
Answer:
11,16
Step-by-step explanation:
We are adding 5 each time
-9+5 = -4
-4+5 =1
To find the next two terms
6+5 =11
11+5 = 16
A circle is circumscribed around a square and another circle is inscribed in the square. If the area of the square is 9 in2, what is the ratio of the circumference of the circumscribed circle to the one of the inscribed?
Answer:
√2:1
Step-by-step explanation:
First we need to know that the length of the side of the square is equal to the diameter of the inscribed circle i.e
L = di
Given the area of the square to be 9in², we can get the length of the square.
Area of a square = L²
L is the length of the square.
9 = L²
L = √9
L = 3in
Hence the length of one side of the square is 3in
This means that the diameter of the inscribed circle di is also 3in.
Circumference of a circle = π×diameter of the circle(di)
Circumference of inscribed circle = π×3
= 3π in
For the circumscribed circumscribed circle, diameter of the outer circle will be equivalent to the diagonal of the square.
To get the diagonal d0, we will apply the Pythagoras theorem.
d0² = L²+L²
d0² = 3²+3²
d0² = 9+9
d0² = 18
d0 = √18
d0 = √9×√2
d0 = 3√2 in
Hence the diameter of the circumscribed circle (d0) is 3√2 in
Circumference of the circumscribed circle = πd0
= π(3√2)
= 3√2 π in
Hence, ratio of the circumference of the circumscribed circle to the one of the inscribed will be 3√2 π/3π = √2:1
A national sampling of cookie preferences showed that 75% of people like chocolate chip, 50% like peanut butter, and only 3% like coconut. The use of this information makes sense in which of the following scenarios? A. The school cafeteria decides to make 3 coconut cookies for each 100 students who buy lunch, even though it puts them over budget for desserts. B. A national cookie company is thinking of changing the recipe in their peanut butter cookies. C. A national cookie company decides to spend $5 million in advertising to convince people to eat coconut cookies. D. Tom is about to open a small bakery and is using the result of the sampling to decide what kind of cookies to offer.
Answer:
D. Tom is about to open a small bakery and is using the result of the sampling to decide what kind of cookies to offer.
Step-by-step explanation:
I believe that is correct....
what is the solution to this equation -3x=52
Answer:
-17.3
Step-by-step explanation:
To solve for x, we can divide both sides by -3:
x = -52 / 3 which = -17.3
Answer:
[tex] \boxed{ \boxed{ \bold{ \sf{ - 17.33}}}}[/tex]Step-by-step explanation:
[tex] \sf{ - 3x = 52}[/tex]
Divide both sides of the equation by -3
⇒[tex] \sf{ \frac{ - 3x}{ - 3} = \frac{52}{ - 3} }[/tex]
Calculate
⇒[tex] \sf{x = - 17.33}[/tex]
Hope I helped!
Best regards!!
Draw a line segment AB of length 6.6 cm. Bisect it perpendicularly at N using a
ruler and set squares
Step-by-step explanation:
If a line segment AB of length 6.6cm is drawn, bisecting it perpendicularly at N, we have two lines AN and NB of length 3.3cm each.
Because the line is bisected perpendicularly, the angles formed at the point of bisection are 90 degrees.
II
Initial Knowledge
This morning, Leila's car had 19.79 gallons of fuel. Now, 2.8 gallons are left. How much fuel did Leila use?
Answer:
[tex]19.79 - 2.8 = 16.99gallons[/tex]
In each of the following pairs of numbers, state which whole number is on the left of the other number on the number line. Also write them with appropriate sign (>,<) between them (a) 530, 503 (b) 370, 307 (c) 98765, 56789 (d) 10023001
D) in the question
1002, 3001
Answer:
a) 503 b) 307 c) 56789 D) 1002
Step-by-step explanation:
Numbering starts from the left hand side and are arranged in ascending order.
A) (530, 503)
503 < 530
503 is lesser than 530 and as such it is encountered first when numbers are written, hence 503 will appear on the left side of the number line when both are written.
B.) (370, 307)
370 > 307
307 comes before 370, therefore it will appear on the left side of 370 when illustrated on a number line.
C.) (98765, 56789)
98765 > 56789
56789 will appear on the leftside of 98765 when both number are illustrated on a number line.
D.) 1002 < 3001
1002 will appear on the leftside of 98765 when both number are illustrated on a number line.
Jack is building a square garden. Each side length measures 777 meters. Jack multiplies 7\times77×77, times, 7 to find the amount of space in his garden is equal to 494949 square meters. Which measurement does 494949 square meters represent?
Answer:
49 square meters represent area of the square garden
Step-by-step explanation:
Each side length=7 meters
He multiplied 7 × 7 times to find the amount of space
=49 square meters
Jack is trying to measure the area of his square garden
Area of the square garden = length^2
=Length × length
Recall,
Length=7 meters
Area of the square garden= 7 meters × 7 meters
=49 square meters