Answers
Answer:
CD = 5.2 cmA = 27 cm²Step-by-step explanation:
As per diagram we have:
m∠A = 30°m∠BCD = 30°As per 30° right triangle property:
CD = √3×CB/2 = 3√3 ≈ 5.2 cmand AC = 2CD = 2×5.2 = 10.4 cmArea of triangle:
A = 1/2bhA = 1/2CB*ACA = 1/2*5.2*10.4 ≈ 27 cm²Related Questions
Given P(A) = 0.4 and P(B) = 0.6, do the following.(a) If A and B are independent events, compute P(A and B).(b) If P(A | B) = 0.5, compute P(A and B).
Answers
Answer:
Solution in photo
Step-by-step explanation:
Answer:
a) 0.24
b) 0.3
Step-by-step explanation:
Given the following probability
P(A) = 0.4 P(B) = 0.6
a) P(A and B) =P(A)P(B) {Independent)
P(A and B) = 0.4×0.6
P(A and B) = 0.24
b) Given P(A | B) = 0.5, this is a conditional probability
If P(A | B) = P(A and B)/P(B)
Since If P(A | B) = 0.5
0.5 = P(A and B)/P(B)
P(A and B) = 0.5(P(B)
P(A and B) = 0.5(0.6)
P(A and B) = 0.3
for the figure shown below, find the value of the variable and the measures of the angles.
x=
measure of angle P=
measure of angle Q=
measure of angle R=
Answers
Answer:
p=58
q=84
r=38
Step-by-step explanation:
x+46+2x-18+x=180 degree ( angle sum property )
4x + 28 = 180 degree
4x = 180 - 28
4x = 152
x = 152 /4
x= 38
angle p = 2x -18 = 2 *38 -18 = 58 degree
angle q = x + 46 = 38 +46= 84 degree
angle r = x = 38 degree
Answer:
x= 38°
measure of angle P= 58°
measure of angle Q= 84°
measure of angle R=38°
Step-by-step explanation:
Equations
The sum of the internal angles of a triangle is 180°. We are given the three angles as a function of x, thus:
2x - 18 + x + 46 + x = 180
Simplifying:
4x + 28 = 180
Subtracting 28:
4x = 180 - 28 = 152
x = 152/4 = 38
x = 38°
Angle P=2x-18=2*38-18=58°
Angle Q=x+46=38+46=84°
Angle R=x=38°
ABCD is a parallelogram. Find the measure of ZABC.
HELPPP
Answers
Answer:
50°
Step-by-step explanation:
Opposite angels of a parallelogram are congruent to each other.
This means:
<ADC = <ABC
<ADC = 38° + 12°
<ADC = 50°
Since <ADC = <ABC, therefore,
<ABC = 50°
You randomly select one card from a 52-card deckFind the probability of selecting the eight of spades or the seven of hearts
Answers
→ Probablity of getting the 8 spades = 1/52
→ Probablity of getting the 7 hearts = 1/52
Both are mutually exclusive event's.So,
⇒ Probablity of getting 7 hearts or 8 spades = Probablity of getting the 7 hearts + Probablity of getting the 8 spades
⇒ Probablity of getting 7 hearts or 8 spades = 1/52 + 1/52
⇒ Probablity of getting 7 hearts or 8 spades = 2/52
⇒ Probablity of getting 7 hearts or 8 spades = 1/26
The probability of selecting the eight of spades or the seven of hearts is 1/26.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
We have,
Number of cards = 52
Number of eight of spades in the deck of cards = 1
Number of seven of hearts in the deck of cards = 1
The probability of selecting the eight of spades or the seven of hearts.
= 1/52 + 1/52
= 2/52
= 1/26
Thus,
The probability of selecting the eight of spades or the seven of hearts is 1/26.
Learn more about probability here:
https://brainly.com/question/14099682
#SPJ2
Find the x-intercept and y-intercept of the linear equation: 3x+2y=6*
Algebra
Answers
Answer:
-3/2
Step-by-step explanation:
Object A is moving 5 feet every 2 seconds. Object B is moving 6 feet every 3 seconds. witch is faster.
Answers
Answer:
Object A is faster.
if mn is a midsegment to abc find the values of x and y. this is the only time im gonna use this so here's 50 points
Answers
thanks for the points to mate
HELP ME PLZ
Find the slope of the line passing through the points (8, -2) and (3, -6).
05
Undefined
? ?
Answers
Can someone check this for me thanks.
Answers
Find the product of-8+4i and its complex conjugate
Answers
Answer:
80
I hope it will be useful.
Which function below represents exponential decay?
ƒ(x) = 0.5(2)x
ƒ(x) = 4(0.25)x
ƒ(x) = 2(1.3)x
ƒ(x) = (-3)x
Answers
Answer:
f(x)=(-3)x
Step-by-step explanation:
Answer:
ƒ( x ) = 4(0.25) x
Step-by-step explanation:
because my test says so.....
Please the following in the question
Answers
Answer:
I can't even read that I think your done for
Solve the following equation for x.
−13−4x−13x=−14+15x
Answers
Answer:
x=1/32
Step-by-step explanation:
-13-4x-13x=-14+15x
first, combine the like terms.
add -4x and -13x
-13-17x=-14+15x
now, add 13 to both sides
-17x=-1+15x
subtract 15x from both sides
-32x=-1
divide by -32
x=-1/-32
Simplify
x=1/32
Hope this helps!
Answer:
x = 0.84375
Step-by-step explanation:
-13 - 4x - 13x = 14 + 15x
-13 - 17x = 14 + 15x
-13 - 17x + 17x = 14 + 15x + 17x
-13 = 14 + 32x
-13 - 14 = 32x
-27 = 32x
-27 / -32 = 32x / 32
0.84375 = x
10. Solve for x.8x+2
Answers
Answer:
6
Step-by-step explanation:
70+60=130 180-130=50 50-2=48 48/8=6
Answer:
.................
Step-by-step explanation:
Please help I need to turn this in please help me
Answers
Step-by-step explanation:
A.
15/5 = 3, 21/7 = 3 -- scale factor is 1/3 since he must divide by 3 to get the side lengths for the photo card
B.
Area = width*length, and scale factor is 5. Therefore, the new width is (15*5) and the new length is (21*5), so the new area is 15*5*21*5 = 15*21*5² = 15*21*25 = 315*25 = 7875 in²
Answer:
what is the question
Step-by-step explanation:
my this help you to solve thequestion
solve the equation: the booster club of the baseball team bought pizza to sell at a concession stand. the school donated three pies to the sale. each pie was then cut into 8 pieces and sold . there were a total of 64 pieces to sell. how many pies did the booster club purchase
Answers
Answer:
they bought 5 pies
Step-by-step explanation:
.................
Five pies were bought by the booster club of the baseball team.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
Three pies were provided for sale by the school. After that, each pie was divided into 8 pieces and sold. 64 pieces in all were available for purchase.
Let "p" be the number of pies the booster club purchased.
The school donated 3 pies, so the booster club purchased a total of p + 3 pies.
Each pie was cut into 8 pieces, so there were a total of (p + 3) × 8 = 64 pieces to sell.
This equation can be simplified to p + 3 = 8, or p = 5.
Therefore, there was a booster club that purchased 5 pies.
Learn more about the equation here:
brainly.com/question/13947055
#SPJ2
Which number would be located in the shaded part of the diagram? F 1.7 G 8 2 H 3 J 10
Answers
write the decimal equivalent of the following: seven hundred seventy-five thousandths?
Answers
Answer:
0.775
Step-by-step explanation:
think place values to the right
tenths, hundredths, thousandths
The decimal equivalent of the following: seven hundred seventy-five thousandths is 0.775.
What is the decimal number?The accepted method for representing both integer and non-integer numbers is the decimal numeral system. It is the expansion of the Hindu-Arabic numeral system to non-integer values.
It is given in the question that the decimal equivalent of the following: seven hundred seventy-five thousandths.
Seven hundred seventy-five thousand will be written in decimal form to the three places.
Decimal form = 0.775
Therefore the decimal equivalent of the following: seven hundred seventy-five thousandths is 0.775.
To know more about decimal numbers follow
https://brainly.com/question/1827193
#SPJ2
Francine uses 2/3 cup of pineapple juice for every 1/3 cup of orange juice to make a smoothie. Enter the number of cups of pineapple juice Francine uses for 1 cups of orange juice.
Answers
Answer:
Francine uses the number of cup of pine apple juice is 2 cups
hope my answer is helpful to you
plz mark me as brainlist and also follow me
2/3 x 3= 6/3 which is equivalent to 2 cups
Warm-Up
Point C has the coordinates (-1, 4) and point D has the
coordinates (2, 0). What is the distance between points
Cand D?
d=-x)' + (a-n'
units
Intro
Answers
Answer:
I think the answer is (-3,4)
Find the slope of the line.
a. 4
b. -1/4
c. 1/4
d. -4
Answers
Answer:
C. 1/4
Step-by-step explanation:
Line pass A(-2,-1) and B(2,0)
slope = Δy/Δx = (0 - (-1)) / (2 - (-2)) = 1/4
Answer:
the answer is C
Step-by-step explanation:
slope formula:
[tex] \frac{y2 - y1}{x2 - x1} [/tex]
(1) take two coordinates from the graph
i/ (2,0)
x1 = 2
y1 = 0
ii/ (6,1)
x2 = 6
y2 = 1
(2) substitute the values into the formula
[tex] \frac{1 - 0}{6 - 2} [/tex]
[tex] \frac{1}{4} [/tex]
Which process would produce the complex number w2? Add 3 – i to w1. Add –9 + 3i to w1. Subtract 3 – i from w1. Subtract –9 + 3i from w1.
Answers
Answer
B.) Add [tex]-9+3i[/tex] to [tex]w1[/tex]
Step-by-step explanation:
Just took the test and D was wrong.
need the answer please thank you!
Answers
Answer:
a) 4/19
b) 15/19
c) 0 (0/19)
d) 1 (19/19)
Step-by-step explanation:
In the numerator you put the number of possibilities of your happy outcome. In the denominator you put the total number of possibilities. So the bag contains 4+15=19 marbles, so that will be your denominator in each answer.
Can some one help me with this one
Answers
Answer:
T equals 20.
Step-by-step explanation:
Another equation could be 24 - 4 = t.
Answer:
t= 28
Step-by-step explanation:
Because there was an unknown amount which would be known as the sum of 24 and 4 cards. Therefore you add the two numbers and get the total amount of cards which is 28.
In the given figure , find m
Answers
Answer:
19 is the answer
Step-by-step explanation:
Answer:
29 Degrees
Step-by-step explanation:
As you know the total degrees is 82, all you have to do is subtract 82 from 53 to give you 29.
The largest Prime number less than 100 is ?
Answers
Answer: 97
Step-by-step explanation: The first 25 prime numbers (all the prime numbers less than 100) are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97 (sequence) just if you need all the primes
The largest prime number less than 100 is 97 by using the definition of prime number and examine the prime numbers that are smaller than 100.
To find the largest prime number less than 100, to examine the prime numbers that are smaller than 100.
A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.
Starting from 99 and moving downwards, check each number for divisibility by smaller numbers.
Any number that has divisors other than 1 and itself is not prime.
99 is not a prime number as it has more than one factors.
99 = 1, 3, 9, 11, 33, 99.
98 is not a prime number as it has more than one factors.
98 = 1, 2, 4, ........, 98.
97 is a prime number as it has more than one factors.
97 = 1, 97.
By doing this process, eventually reach 97, which is the largest prime number less than 100.
Learn more about prime numbers here:
https://brainly.com/question/29629042
#SPJ6
Camila's car used 8 gallons to travel 128 miles. How many miles can the car go on one gallon of gas?
Answers
Answer: 16
Step-by-step explanation: 128 divided by 8 gives you 16
Answer:
16 miles
Step-by-step explanation:
Make a proportion:
8 gallons / 128 miles = 1 gallon / x miles ---> 128 * 1 / 8 = 16
Novak wants to print books and magazines. He wants to print a total of at least 404040 books and magazines (condition AAA), with at most 360036003600 sheets of paper (condition BBB).
The graph below represents the constraints on the number of books KKK and magazines MMM Novak prints:Novak prints 303030 books. How many magazines can he print to meet both his constraints?
see picture below:
Answers
Answer:
Novak doesn't have enough sheets of paper left to print any magazines.
Step-by-step explanation:
The common shaded area represents the range of all combinations that fit both Novak's wish to print at least 40 books and magazines and the limit of 3600 sheets of paper.
Can you find the combinations within that area where the number of books Novak prints is 30?
Hint #2 / 3
The line K = 30K, represents all combinations where the number of books Novak prints is 30. We can see that the points on that line do not lie within the common shaded area.
Hint #3 / 3
Novak doesn't have enough sheets of paper left to print any magazines.
How do you calculate 1/4 of 4 dozen and get the correct answer?
Answers
Answer:
4 dozen is equal to 48
divide that by 4 which would equal 12 or one dozen
Answer:
12
Step-by-step explanation:
1 dozen is equal to 12, so 4 dozen is (12×4) is 48. 48 x 1/4 =12.
Simply: 1/4 of 4 dozen is 1 dozen
Please solve this ASAP!!! :)
Answers
Answer:
1). Area = 37 cm²
2). Area = 120 cm²
Step-by-step explanation:
Figures in the picture attached are the examples of composite figures.
1). Area of the composite figure = Area of rectangle A + Area of rectangle B
Since area of rectangle = Length × width
Area of rectangle A = 8 × 2 = 16 cm²
Area of rectangle B = 3 × 7 = 21 cm²
Area of the composite figure = 16 + 21 = 37 cm²
2). Area of the composite figure = Area of C + Area of D
= (3×4) + (9×12)
= 12 + 108
= 120 cm²