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Find the area of quadrilateral ABCD. (Hint: the diagonal divides the quadrilateral into two triangles.]
А
7.84
4.57
3.42
horas
D
4.39
С
A. 14.89 units
B. 11.09 units
C. 17.46 units
D. 18.22 units?
Answers
Answer:
[tex]A) 14.89~ units[/tex]
Step-by-step explanation:
[tex]AD=C=3.42~, AC=d=4.57, ~CD=a=4.39[/tex]
[tex]S=\frac{C+d+a}{2} =\frac{3.42+4.57+4.39}{2} =6.19[/tex]
[tex]Using ~ heron's~ formula:[/tex]
[tex]Area~ of ADC~is:[/tex]
⇒ [tex]\sqrt{s(s-c)(s-d)(s-a)}[/tex]
⇒ [tex]\sqrt{6.19(6.19-3.42)(6.19-4.57)(6.19-4.39)}[/tex]
⇒ [tex]\sqrt{6.19*2.77*1.62*1.8}[/tex]
⇒ [tex]\sqrt{49.9986}[/tex] ⇒ [tex]7.071[/tex]
[tex]Area ~of ~ ABD ~is:[/tex]
⇒ [tex]\sqrt{s(s-d)(s-b)(s-a)}[/tex]
⇒ [tex]\sqrt{8.35(8.35-7.84)(8.35-3.42)(8.35-5.44)}[/tex]
⇒ [tex]\sqrt{8.35*0.51*4.93*2.91}[/tex]
⇒ [tex]\sqrt{61.0937}[/tex] ⇒ [tex]7.816[/tex]
[tex]So, Area ~ of ~quadrilateral~ ABCD ~ =[/tex]
[tex]A=Area ~of ~ADC+Area ~ of ABD:[/tex]
[tex]A=7.071+7.816[/tex]
[tex]A=14.89 ~units^2[/tex]
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hope it helps...
have a great day!!
The price of a train ticket is $14.50. The price rises by 8%.Work out the new price of the ticket.
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the sum of two numbers is 121. if the larger number is 7 more than the smaller number, find both number.
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Answer:
57 and 64
Step-by-step explanation:
x = smaller number
x + x + 7 = 121
2x = 114
x = 57
A hemispherical tank is filled with water and has a diameter of 12 feet. If water weighs 62.4 pounds per cubic foot, what is the total weight of the water in a full tank, to the nearest pound?
Answers
Answer:
The total weight = 1286 × 62.4 = 80246 pounds.
Step-by-step explanation:
The formula of the volume of the sphere is
V = 4/3×π×r³
Given
d = 17 feet
d = 2r
r = d/2 = 17/2 = 8.5 feet
V = 4/3×π×r³
Since we need half of the volume as it is a hemispherical tank.
= 1286 ft³
Given that the weighs 62.4 pounds per cubic foot
Thus, the total weight = 1286 × 62.4 = 80246 pounds.
Helpmeeeeeeeeeeeeeeeeeeeeeeee
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Answer:
B)
Step-by-step explanation:
distances:
AB = 6
BC = √4+25 = √29
CD = √0+144 = 12
AD = √5²+4² = √41
A spinner is divided into five colored sections that are not of equal size: red, blue, green, yellow , and purple. The spinner is spun several times, and the results are recorded below: Spinner Results Color Frequency 18 15 Red Blue Green Yellow Purple 20 18 13 Based on these results , express the probability that the next spin will land on purple as a decimal to the nearest hundredth.
Answers
Answer:
0.15
Step-by-step explanation:
The probability would be the amount of times the pointer landed on purple divided by the total times the pointer was spun.
This would be 13/(18+15+20+18+13) = 13/84 = 0.15476
The probability that the next spin will land on purple nearest hundredth will be 0.15.
What is probability?Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.
Then the probability is given as,
P = (Favorable event) / (Total event)
The table is given below.
Color Frequency
Red 18
Green 15
Blue 20
Yellow 18
Purple 13
Based on these results, the probability that the next spin will land on purple in decimal to the nearest hundredth is calculated as,
P = 13 / (18 + 15 + 20 + 18 + 13)
P = 13 / 84
P = 0.15
The probability that the next spin will land on purple nearest hundredth will be 0.15.
More about the probability link is given below.
https://brainly.com/question/13957582
#SPJ2
someone please help with either one!! will mark brainliest
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Answer:
13. After 25 days
14. 68-77 degress
Step-by-step explanation:
13.
100*3= 300
300-100= 200
200/8= 25
Answer:
The answer to the first question is 25 days. The range of temperatures is 68 - 77. Hope this is helpful! =)
Step-by-step explanation:
Please answer the following question:
Answers
Answer:
99 cm²
Step-by-step explanation:
1/2 BH
1/2 18 x 11
9 x 11
99
An item sells for $40. The sales tax on
the item is 8%. What is the sales tax and
total cost?
Tax
Total
Answers
Answer:
sales tax is $3.2 ans total is $43.2
Step-by-step explanation:
If you solve this correctly I’ll give you brainliest!
Answers
Answer:
question where dude?
Step-by-step explanation:
By: ₰₮₤₳V₤
Answer:
yup
Step-by-step explanation:
if we use the scientific notation to answer this question and my luck i would said that 1+2=1
A scatterplot includes data showing the relationship between the number of items on a standardized test and the
length of time, in minutes, it took for different students to complete it. Which graph displays the line of best fit for the
data?
Answers
Answer:
its D
Step-by-step explanation:
Which ratio gives the cosine of B ?
A
B
C
D
Answers
What is the length of CD in triangle ABC?
Answers
Answer:
[tex]8\sqrt{2}[/tex]
Step-by-step explanation:
Suppose an Oklahoman comes to Texas to go turkey hunting. He takes up camp 150 meters from the base of a cliff. When he sees a turkey he raises his shotgun, shoots, but misses (being a poor shot). He notices that he hears the echo of his gun off the cliff. How much time (in seconds) passes after the shot before the hunter hears the echo?
(use dimensional analysis)
Answers
Answer:
thats 50
Step-by-step explanation:
Solve by completing the square
2x^2 + 14 = 4x
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Answer:
Step-by-step explanation:
Use the formula (b/2)^2 in order to create a new term. Solve for x by using this
term to complete the square.
x = 1 ± i√6
20 points!!! Solve Each Proportion-Round to the nearest tenth *
Your answer
Answers
Answer:
x = 3.6
B. {7.88}
Step-by-step explanation:
[tex]\frac{6}{x}= \frac{10}{6}[/tex]
x · 10 = 6 · 6
10x = 36
10x ÷ 10 = 36 ÷ 10
x = 3.6
[tex]\frac{9}{8} =\frac{x}{7}[/tex]
8 · x = 9 · 7
8x = 63
8x ÷ 8 = 63 ÷ 8
[tex]x=7\frac{7}{8}[/tex] or x = 7.875
7.875 rounded to the nearest tenth is 7.88.
Please answer the following question:
Answers
To find area take circumference x pie (3.142). And to find circumference it’s radius x 2
So to find area it would be ( 4x2)3.142=25.136
Or 8x3.142=25.136
hey! i’ll give brainliest please help!
Answers
Colin walked a distance of 15 miles in 6 hours.
Work out Colin's average speed
Give your answer in miles per hour.
Answers
V = distance/time
V = 15/6
V = 2.5 miles per hour
How do you write 4,9000 in scientific notation?
Answers
Answer:
4.9 x 10^4
Step-by-step explanation:
[tex]4.9[/tex] × [tex]10^{4}[/tex]
A student believes that a certain 6-sided number cube, with the numbers 1 to 6, is unfair and is more likely to land with a 6 facing up. The student rolls the cube 100 times and lands with 6 facing up 20 times. The P-value for the test of the hypotheses, H0:p=0.17 and Ha:p>0.17, is 0.19. What is the correct conclusion given a=0.05?
Because the P-value is less than a=0.05, the student should reject H0.
Because the P-value is less than a=0.05, the student should reject H0.
Because the P-value is greater than a=0.05, the student should reject H0.
Because the P-value is greater than a=0.05, the student should fail to reject H0.
Answers
Answer:
third one
Step-by-step explanation:
To find the p-value of a data set, we can use the rejection region data to predict where the answer will lie.
P-ValueTo find the p-value of this data set, let's write out the data given in the question.
Data;
H_o = p = 0.17Ha = p>0.17Technically, the p-value is greater that the Ha and this affect the data significantly.
Since the p-value is greater than the ha value, we can accept that the value of H_o and assume the student will reject the H_o
The answer to this question is option D
learn more on p-value here;
https://brainly.com/question/4621112
hey! i’ll give brainliest please help.
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Answer:
I would say
B) Indus river Valley
what is the surface area of the rectangular prism? length=12, height=6, and width=13
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NWMS has 840 students. Ben surveys a random sample of 60 students and finds that 8 of them have more than 3 siblings. How many students at the school are likely to have more than 3 sibling
Answers
Answer:
the answer is 196
Step-by-step explanation:
hope this helps
which is the correct answer? pls help (links = report)
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SIMPLE SEVENTH GRAD EMATH PROBLEM GOVING BRAINLIEST.
Answers
Answer:b
Step-by-step explanation:
iys b i promise
Which equation is represented by the graph below?
10
10 8 5-4-2
2
В
8
10X
10
0 x = 2 x - 3
O y=x-9
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Given the function h(x) = -x2 - 4x + 6, determine the average rate of change of
the function over the interval -5 < x < -1.
Answers
Answer:
Que estoy confundida
Step-by-step explanation:
A bag of apples weighs 7 2/7
pounds. A crate of bananas is 5 times as heavy as the apples. What is the total weight of the fruit?
Answers
Answer:
43.71428571
Step-by-step explanation:
First, convert 7 2/7 into an improper fraction: 51/7
Second, multiply 51/7 by 5: 255/7
Third, add 255/7 and 51/7 to get 306/7
306/7 = 43.71428571
Does anyone know how to solve this?
Answers
Answer:
[tex]f(6) = \frac{6 {}^{2} - 2.6 - 8}{6 {}^{2} - 14.6 + 45} = \frac{16}{ - 3} = \frac{ - 16}{3} [/tex]