If AD = 20 centimeters, DC = 15 centimeters,
BC = 7 centimeters, and AB = 24 centimeters,
what is the area of quadrilateral ABCD?
answer plz
Answers
Answer:
Incomplete question, check attachment for diagram of the question
Step-by-step explanation:
Given that,
AD = 20cm
DC = 15cm
BC = 7cm
AB = 24cm
Since the shape consist of two right angle triangle,
Then, we will find the area of each triangle and add them together to find the area of the quadrilateral ABCD
Area of a triangle can be calculated using
A = ½b×h
Then,
For triangle 1, its area is
A_1 = ½ × DC × AD
A_1 = ½ × 15 × 20
A_1 = 150 cm²
Fro triangle 2
A_2 = ½ × BC × AB
A_2 = ½ × 7 × 24
A_2 = 84 cm²
Then, the total area is
A = A_1 + A_2
A = 150 + 84
A = 234 cm²
Area of the quadrilateral ABCD is 234cm²
Answer:
Step-by-step explanation: it’s 234 no cap
Related Questions
what is the cost of 12 bottles explain
Answers
Answer:
24
Step-by-step explanation:If each bottle is $2 and there's 12 bottles then you just multiply 2 * 12. Which equals 24.
Justin and Desiree each wrote a ratio comparing the numbers of students and tables in their classroom. There are 6 tables in the room with 4 students at each table.
Justin states that the ratio is 4:1.
Desiree insists the ratio is 24:6.
They both ask Luke to tell them which ratio is correct. Which statement below would be the best answer for Luke?
Justin is correct because there are 4 students per table. A ratio is not correct unless it uses the smallest possible numbers.
Desiree is correct because there are 24 students to 6 tables in the room. A ratio must account for the total number of each value.
Both are correct. Desiree’s ratio compares the total number of students in the room to the total number of tables, while Justin’s is equivalent but simplified to students per table.
Neither is correct because they should have 4:6 or 2:3 for the 4 students and 6 tables.
Answers
Answer:
Both are correct. Desiree’s ratio compares the total number of students in the room to the total number of tables, while Justin’s is equivalent but simplified to students per table.
Step-by-step explanation:
students : tables
4 : 1
4×6 : 1×6
24 : 6
The two are equivalent ratios
Answer:
C both are correct
brainliest plz
Step-by-step explanation:
Evaluate the expression.
Answers
A+B/C
24+ 36/4
24+9
= 33
What is the scale factor?
Answers
Answer:
3
Step-by-step explanation:
George sold 18, 22, 26, 12, 25, 20, and 19 cars per month over the past seven months. He followed the steps below to determine the number of cars he needs to sell in the next month to have a mean number of sales per month of 24.
Step 1: Find the total cars needed to have a mean of 24: 24 times 7 = 168.
Step 2: Find the total cars sold: 18 + 22 + 26 + 12 + 25 + 20 + 19 = 142.
Step 3: Subtract the total cars sold from the total cars needed: 168 minus 142 = 26.
Step 4: State the answer: George needs to sell 26 cars next month.
Where did George make his first mistake?
Step 1
Step 2
Step 3
Step 4
Answers
George made his first mistake in Step 1 by calculating the mean for 7 months instead of 8. The correct calculation should be 24 times 8 to find the total number of cars he needs for an 8-month period.
The student has asked where George made his first mistake in determining how many cars he needs to sell to have a mean number of sales of 24 per month. Reviewing the steps he took, it is important to ensure the right number of periods is considered. In this case, if George is calculating the mean across 8 months rather than 7 months, as 7 months have passed and he needs the average after the next month (the 8th), he made his first mistake in Step 1 where he calculated 24 * 7 instead of 24 * 8. Therefore, the correct calculation should be 24 times 8 which equals to 192. This is the total number of cars he needs to have sold over the 8 months, to achieve a mean of 24 cars sold per month.
the diameter of a circle is 26 miles. what is the circle's circumference. Use 3.14 for pi
Answers
Answer:
It’s 530.66
Step-by-step explanation:
To find the circumference of a circle with a diameter of 26 miles, use the formula C = πd. Substitute the values and calculate the circumference as 81.64 miles.
The circumference of a circle can be calculated using the formula: C = πd, where d is the diameter of the circle. Given that the diameter is 26 miles and π is approximately 3.14, you can substitute these values into the formula to find the circumference.
Substitute the values: C = 3.14 x 26
Calculate the circumference: C = 81.64 miles. This calculation demonstrates how the circumference of a circle can be accurately computed using known values, providing essential information for various applications such as navigation, engineering, and geometric analysis.
A puppy and a kitten are 180 meters apart when they see each other. The puppy can run at a speed of 25 m/sec, while the kitten can run at a speed of 20 m/sec.
How soon will the kitten catch the puppy if the kitten starts running after the puppy?
Pls help on this Question! I need help
Answers
Answer:
36 seconds
Step-by-step explanation:
Distances covered in time t:
Puppy: 25t
Kitten: 20t
Assuming the kitten is 180m ahead of the puppy:
25t = 20t + 180
5t = 180
t = 36 seconds
Answer:
36
Step-by-step explanation:
A tsunami warning siren can be heard up to 2.5 miles away in all directions. From how many square miles can the siren be heard?
Answers
Answer:
25 mi^2
Step-by-step explanation:
2.5^2 = 6.25
6.25 * 4 = 25
Answer:
19.63 cm
Step-by-step explanation:
Because it can be heard from all directions, it takes the shape of a circle. Plus, it's 2.5 in all directions, so the lines are all equal. Therefore, 2.5 is the radius. They're asking for the area here, and the formula for area of a circle is A = PI*R^2. I'll use 3.14 to substitute for pi. Exponents first. 2.5^2 = 6.25. After that, we multiply. 3.14*6.25 = 19.625. We arrive at the answer. 19.625 square miles.
i need helpp!!!! I will give brainliest!!!
Answers
Answer:
$51.30
Step-by-step explanation:
25% sale
The jacket costs $76, and the price is marked down 25%.
Normally, you would pay for 100% of the price, but because it is marked down 25%, you are only paying 75% of the normal price.
Now, find the price of the jacket.
Multiply 75% and $76
75%*76
Convert 75% to a decimal by dividying by 100
75/100=0.75
0.75*76=57
The jacket costs $57 with the sale.
10% coupon
The jacket on sale costs $57. The coupon will take off another 10%.
Instead of paying for 100% of the jacket, you are paying for 90% with the coupon that takes 10% off.
Multiply 90% and $57
90%*57
Convert 90% to a decimal by dividing by 100
90/100=0.9
0.9*57
51.3
The price of the jacket after a 25% off sale and a 10% off coupon is $51.30
Answer:
$51.30
Step-by-step explanation:
Evaluate 3 3/4 ÷ 5/6 =
Answers
Answer:
9/2 or 4.5
Step-by-step explanation:
15/4x6/5 = 3/2x3 = 9/2
Oliver weighs 6 pounds. When he is an adult cat, he will weigh about 445% as much as his current weight. Write 445% as a fraction and as a decimal.
Answers
Answer:
445/100 & 4.45
Step-by-step explanation:
Fraction: 4 45/100 or 445/100
decimal: 4.45
A kitchen clock has a radius of 8 inches. What is the area?
Answers
Answer:
201.06 inches squared
Step-by-step explanation:
Answer:
Wow, this one's a quick one!
The formula for calculator the area of a circle [kitchen clock] is πr², so now that we know that, let's plug the darn thing in!!
Before we continue, let's square 8 prior to pluggin it in. 8² is 64!
EQUATION WILL BE: π×64
THIS EQUALS: 201.0619298
Depending on what your teacher wants, you can round that! :)
What is the sample space of rolling a dice and picking from a deck of cards?
Answers
Answer:
Hope that I helped god bless u have a good Wednesday
Step-by-step explanation:
rolling n six-sided dice, where n is a positive whole number, the sample space consists of 6 n elements. the sample space is the set that lists all 52 cards in a deck.
Blackjack is a popular card game or cards are assigned various point values. Face cards and tens are the only cards worth 10 points. Each round begins with the player being dealt two cards. The table below is a partially completed probability distribution for the random variable Y, where Y is the number of 10 point cards a player gets at the beginning of a round. Find the missing probability in the table for P(0).
Answers
The probability of not drawing a 10-point card in the first two draws in a game of Blackjack, represented as P(0), is approximately 0.475 or 47.5%.
Explanation:The subject of this question is probability in the card game of Blackjack, specifically relating to the chance of drawing a 10-point card (all tens and face cards). To calculate the probability of not drawing any 10-point cards in the initial draw (2 cards), we need to determine the total number of 10-point cards and two-card combinations that do not involve any 10-point card.
A standard deck of 52 cards has 16 that are worth 10 points (four tens, four jacks, four queens, and four kings). The number of all possible two-card draws is '52 choose 2', or 1326 (calculated using combination formula).
The number of two-card combinations not involving any 10-point card, is equal to '36 choose 2', as there are 36 non-10-point cards in the deck (52 total minus 16 that are worth 10). This equals 630.
Therefore, the probability P(0), i.e., of not drawing any 10-point cards in the initial draw, is 630 / 1326 = 0.475 or 47.5%.
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The missing probability in the table, representing the likelihood of drawing one 10 point card at the beginning of a Blackjack round is 0.475.
Explanation:Let's solve for P(Y = 0) given the probability distribution table for the random variable Y, where Y represents the number of 10-point cards a player gets at the beginning of a round:
Y 0 1 2
P(Y) ? 0.435 0.090
We know that the sum of all probabilities for all possible outcomes must equal 1. Therefore:
[tex]\[ P(Y = 0) + P(Y = 1) + P(Y = 2) = 1 \][/tex]
Substituting the known probabilities:
[tex]\[ P(Y = 0) + 0.435 + 0.090 = 1 \][/tex]
Now, solve for P(Y = 0):
[tex]\[ P(Y = 0) = 1 - 0.435 - 0.090 \][/tex]
[tex]\[ P(Y = 0) = 0.475 \][/tex]
So, after the calculation, P(Y = 0) equals 0.475.
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Question:Blackjack is a popular card game or cards are assigned various point values. Face cards and tens are the only cards worth 10 points. Each round begins with the player being dealt two cards.
The table below is a partially completed probability distribution for the random variable Y, where Y is the number of 10 point cards a player gets at the beginning of a round.
Y 0 1 2
P(Y) ? 0.435 0.090
Find the missing probability in the table.
P(Y=0) =
what is 30 .9 tonnes when divided by vbdavbhsdbvlavhbshbvsdh
Answers
Answer:
356.484 million
Step-by-step explanation:
Answer:
356.484 million
Step-by-step explanation:
What is the approximate perimeter of the octagon?
Round to the nearest whole number.
mm
What is the approximate length of one side of the
octagon? Round to the nearest whole number.
mm
Answers
Answer: 371 mm
46 mm
Step-by-step explanation:
Answer:
371 and 46
Step-by-step explanation:
Find f(-7) if f(x) = 2x + 8.
A. -6 B. 2 C. 3 D. 22
Answers
2(-7) + 8
-14 + 8
-6 is the answer!
Which expression is equivalent to 8x - 2y +3+x?
Answers
Answer:
9x-2y+3 is similar
Step-by-step explanation:
Answer:
9 − 2 + 3
Step-by-step explanation:
Combine like terms (add 8x and x)
8x - 2y + 3 + x
9 − 2 + 3
A triangle is formed by the points A(-2,-3), B(-2, 5), and C (6,-3). What are the coordinates of the midpoints of BC?
(1,2)
(1, -1/2)
(2,3)
(2,1)
Answers
Midpoint is the exact spot between two points. You bisect (divide into two equal halves) a given line segment. This middle point is called the "midpoint". The formula for midpoint is simple it's (x1 +x2)/2 , (y1+y2)/2 =xm,ym
Point B is (-2,5) Point C is (6,-3)
We want to find the point halfway between them.
First we add both x values, then divide the sum by two to find the X Midpoint Value. (-2+6)/2 simplifies to (4)/2 which equals 2.
The new midpoint coordinate is (2, y) Now, we need to repeat the same steps for the y value.
Add both y values, then divide the sum by two to get the Y Midpoint Value. (5+(-3))/2 simplifies to (2)/2 which equals 1.
The new midpoint coordinate is (2, 1).
The answer is D (2,1)
Alice was flying a kite when a gust of wind caught the kite in a tree. Alice is standing 10 feet from the base of the tree, looking up at her kite at an angle of 25If Alice is 5 feet tall, approximately how high is the kite off of the ground?
Answers
Answer:
Step-by-step explanation: about 16.03 ft. Using trig. 10/cos 25 deg. = 11.03. . . + 5 = 16.03
Which of the following could be the function
graphed? A.) f(x)=8x^2/x^2-9 B.) f(x)=119x/792x+345 C.) f(x)=612/816x-272 D.) f(x)=237x/421x-515
Answers
Answer:it’s d on Ed
Step-by-step explanation:
The function that could be graphed is,
C.) f(x) = 612/816x-272
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
We have to given that;
All the functions are,
A.) f(x)=8x^2/x^2-9
B.) f(x)=119x/792x+345
C.) f(x)=612/816x-272
D.) f(x)=237x/421x-515
Now, Based on the definition of the function, we get;
The function that could be graphed is,
C.) f(x) = 612/816x-272
Hence, Option C is true.
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What is the value of x in the equation 1.5(x + 4) - 3 = 4.5(x - 2)?
Answers
Answer:
x=4
Step-by-step explanation:
1.5(x + 4) - 3 = 4.5(x - 2)
Distribute
1.5x + 6 -3 = 4.5x - 9
Combine like terms
1.5x +3 = 4.5x -9
Subtract 1.5x from each side
1.5x -1.5x +3 = 4.5x -1.5x-9
3 = 3x-9
Add 9 to each side
3+9 = 3x-9+9
12 =3x
Divide each side by 3
12/3 = 3x/3
4=x
Answer:
x = 3
Step-by-step explanation:
Ivan is playing a skee-ball game. Different points are awarded depending on which hole the ball goes through. When the ball goes in the smallest hole, it is worth 100 points. When it goes in the bigger hole, it is worth 10 points, and when it does not go in either hole, it is worth 1 point. Ivan earned 352 points in the last game.
Which combination will result in a score greater than his current score?
2 balls in the smallest hole, and 8 balls in the bigger hole
4 balls in the smallest hole, and 6 balls in neither hole
3 balls in the smallest hole, 4 balls in the bigger hole, and 3 balls in neither hole
3 balls in the smallest hole, 3 balls in the bigger hole, and 4 balls in neither hol
Answers
Answer: 4 balls in the smallest hole and 8 balls in the bigger hole
Explanation: Since 1 ball in the smallest hole in worth 100 points and 4 balls in the smallest hole, then we multiply 4 by 100 to get 400. And also, every ball that doesn't make either one of the holes, it counts as 1 point , so we multiply 1 by 6 to get 6. Finally add up 400 and 6 to get 406, more than his current score.
Question 2:
Factor out the greatest common factor in 12x^2 + 18x.
Choose 1 answer:
A. 6x (2x + 3)
B. 6x(2x + 18x)
C. 6x(3 + 12x^2)
Answers
Answer:
the answer is
6x(2x+3)
Find the zeros of f(x)=x^2 +5x -6.
A. {2, 3}
B. {-6, 1}
C. {-2,-3}
D. {-6,-1}
Answers
Answer:
B {-6,1}
Step-by-step explanation:
f(x)=x²+5x-6
=x²+6x-x-6
=x(x+6)-1(x+6)
=(x+6)(x-1)
so x=-6,1
Answer:
B
Step-by-step explanation:
A triangle has an area of 76 sq. in. The base is 20 in. what is the height?
Answers
Answer:
7.6 = h
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 bh where b is the base and h is the height
76 = 1/2 *20 *h
76 = 10 h
Divide each side by 10
76/10 = 10h/10
7.6 = h
Answer:
7.6 inches
Step-by-step explanation:
The area of a triangle can be found using:
a=(b*h)/2
We know that the area is 76 in^2 and the base is 20 in. Substitute 76 in for a and 20 in for b.
76=(20*h)/2
Now we have to solve for h, by getting h by itself.
First, get rid of the denominator of 2 by multiplying both sides by 2
76*2=20*h/2*2
76*2=20*h
152=20*h
Next, divide both sides by 20, because 20 and h are being multiplied.
152/20=20*h/20
152/20=h
7.6=h
The height is 7.6 inches
4. Do you think a binary code can be transmitted by light, sound, or radio waves, or only by using an electrical current? Explain your answer.
Answers
Answer:
Yes, they came up with the telegraph, which transmits through radio waves. Binary code could probably also be transmitted in light, sound, or radio waves.
Binary code can be transmitted through light, sound, and radio waves, not just electrical current. These transmissions use AM, FM, and phase modulation, with light waves as the most efficient for high-speed data transfer.
Binary code can indeed be transmitted through various mediums besides just electrical current. This includes light, sound, and radio waves. Radio waves do indeed belong to the electromagnetic spectrum just like light waves do but with lower frequencies. Thus, a radio detects these electromagnetic waves, not light in the visual sense, and converts them into sound waves we can hear.
Light waves, unlike sound waves, do not need a physical medium to travel; they can move through a vacuum, transmitting information efficiently as electromagnetic waves. This is the principle behind fiber optic cables, which use pulses of light to transmit information encoded as binary code at high speeds. The rate at which information can be transmitted on an electromagnetic wave is proportional to its frequency, explaining why high-frequency laser transmissions in fiber optics can carry more conversations than lower-frequency electronic transmissions in wires.
Consider the figure shown. What solid three dimensional object is
produced by rotating the rectangle about line m?
Answers
Answer:
Provide a photo.
Step-by-step explanation:
Find the median, lower quartile, upper quartile, and interquartile range for each data set.
45,000
40,570
76,920
28,820
51,680
55,370
43,690
64,850
58,770
Answers
Answer:
Step-by-step explanation:
Lower quartile : 44.5
Upper quartile : 710
Interquartile range: 665.5
If the measure of angle 2 is (5x+14)degrees and angle 3 is (7x-14)degrees what is the measure of angle 1 in degrees
Answers
Answer: Measure of angle 1 is 13.84° .
Step-by-step explanation: Given angle 2 = (5x+14)°
angle 3 = (7x-14)°.
Let the angle 1 be x°,
As we know m∠1+m∠2+m∠3 = 180° (Angle sum property)
x°+(5x+14)+(7x-14) = 180°
x°+12x = 180°
13x = 180
x = 180/13 = 13.84°
∴Measure of angle 1 is 13.84°