using the pythagorean theorem, calculate the length of the missing sides (c1, c2, c3)
Answers
Answer:
the Pythagorean theorem states: a^2 + b^2 = c^2
1) in this case a=18 and b1=25
18^2 + 25^2 = c1^2
324 + 625 = c1^2
949 = c1^2
√949 = c1
cca. 30.8 = c1
2) in this case a=18 and b' = b2 - b1 = 40 - 25 = 15
in the picture im attaching i highlighted the triangles we are working with, and there you can clearly see that b' (the horizontal line at the bottom of the red tr.) is the difference between the lines b2 and b1
now you can use the same technique as in the first case, and the final answer will be cca. 23.4 = c2
3) in this case a=18 and b'' = b4 - b3 = 75 - 55 = 20
same thing as number 2, final answer cca. 26.9 = c3
Related Questions
The plant-breeding department at a major university developed a new hybrid boysenberry plant called Stumptown Berry. Based on research data, the claim is made that from the time shoots are planted 90 days on average are required to obtain the first berry. A corporation that is interested in marketing the product tests 60 shoots by planting them and recording the number of days before each plant produces its first berry. The sample mean is 92.3 days. The corporation wants to know if the mean number of days is different from the 90 days claimed. What are the correct hypotheses?
a) H0:μ≠90
H1:μ=90
b) H0:μ=90
H1:μ≠90
c) H0:μ=92.3
H1:μ≠92.3
d) H0:p=92.3%
H1:p≠92.3%
e) H0:p=90%
H1:p≠90%
Answers
Answer:
b) H0:μ=90, H1:μ≠90
Step-by-step explanation:
The corporation wants to know if the mean number of days is different from the 90 days claimed.
This means that at the null hypothesis, we test if the mean number is the claimed value of 90, and so:
[tex]H_0: \mu = 90[/tex]
The corporations wants to know if the mean number is different, and thus, at the alternate hypothesis, we test if the mean number is different from 90, that is:
[tex]H_1: \mu \neq 90[/tex]
This means that the correct answer is given by option b.
Can someone please help me with #’s 3 & 4?
Answers
Answer:
3. 3(n + 6),
4. 5(2n + 4)
Step-by-step explanation:
dunno if its possible to isolate the addition to have it done first without parenthesis.
Which expression is equivalent to 1/3b - 7
Answers
Answer:
The answer Is 1/3(b-21)
Step-by-step explanation:
please help me i will mark brainliest pls i have been doing thhis for hours and i neede to pass the 7th grade
Answers
Answer:
521, 400
Step-by-step explanation:
with the 1cm= 100m scale
6.6cm= 660m
7.9cm=790m
so the area would be 660×790
which is 521,400 meters squared
find the area of the figure
area: units2
Answers
Answer:
Area of the figure = 25 square units
Step-by-step explanation:
Area of the given figure = Area of ΔCDE + Area of rectangle BCEI + Area of ΔABH + Area of GIF
Area of ΔCDE = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(CE)(DK)[/tex]
= [tex]\frac{1}{2}(8)(4)[/tex]
= 16 units²
Area of rectangle BCEI = Length × Width
= CE × EI
= 8 × 1
= 8 units²
Area of ΔABH = Area of ΔGIF = [tex]\frac{1}{2}(1)(1)[/tex]
= [tex]\frac{1}{2}[/tex] units²
Area of the complete figure = 16 + 8 + [tex]\frac{1}{2}[/tex] + [tex]\frac{1}{2}[/tex]
= 25 units²
OLEASE HELP
Which number produces a rational number when added to 1/2
A. 5.38516480...
Β. π
c. √ 10
D. 0.22
Answers
Answer:
i donot know appp lado app
is this true or false
Answers
Answer:
False
Step-by-step explanation:
What additional piece of information
would prove ALMK = ANMK by
Side-Angle-Side?
Answers
Answer:
MK bisects <LKN
Step-by-step explanation:
We can already say two sets of sides are equal; LK = NK because it is given and MK = MK because of reflexive property. In order to use Side-Angle-Side, we need to prove the angles between the sides are congruent. This means <LKM and <NKM. The only option that would help is with the is the lat option, MK bisects <LKN because, then we could say <LKM and NKM are congruent because MK would be an angle bisector. This is exactly what we want, so the answer is MK bisects <LKN.
Y-intercept = -4
• Slope = -1
2
y
10
9
8
2
6
5
4
3
2
-10
-9
-8
-7
-6
-5
- 4
-3
-2
-1
1
2
3
4
5
6
7
8
9
10
-1
2
-3
-4
-5
-6
-7
-8
-9
-10
Answers
Answer:
First point: -4 on y axis.
Second point: (2, -5)
Step-by-step explanation:
When graphing, we always set the equation as y=mx+b where m = slope and b = y intercept
y = mx + b
y = [tex]-\frac{1}{2}x-4[/tex]
Then we plot by starting with the y intercept going four units down, one unit below and two units to the right.
write 5040 in scientific notation
Answers
5.04 × 10³
This is the scientific notation.
Answer:
5.04*10³
Step-by-step explanation:
5.04*10³
When is ur last day of school
Answers
Step-by-step explanation:
Supposed to be next Thursday but I get off this week since I finished half of my classes already.
Answer:
Next Friday so...May 28th
Step-by-step explanation:
Andre picks a block out of a bag 50 times and notes that 31 of them were green.
1. What should Andre estimate for the probability of picking out a green block from this bag?
2. Mai looks in the bag and sees that there are 5 blocks in the bag. What should the new estimate be with
this sample space?
Answers
Answer:
a.The estimate is 43/60
b.No, he should not change the estimate based on this information
Step-by-step explanation:
The estimate he would make is dividing the number of bricks which he sees as green by the total number of bricks. That would be the probability of selecting a green brick out of all the 60 bricks.
Mathematically this probability is 43/60
No, Andre should not change his estimate.
The reason is that we are only told that she looked in the bag and saw 6 bricks, we do not know whether the kind of bricks he saw were green in color. The only time it is necessary for Andre to change his estimate is when it is confirmed that the six bricks seen by Mai in the bag were essentially confirmed to be green. without this confirmation, the estimate should not be changed.
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Determine if the relation is a function. Choose yes or no and the correct reason why. {(0, -1),(-1,0), (2,3), (3, 2), (4,3)} Select the correct resp…
Based on the survey results, which is true about the t-shirts Mrs. Hanson should order?
Mrs. Hanson should order equal numbers of each type of shirt.
Mrs. Hanson should order about 2.5 times as many crew neck shirts as raglan shirts.
Less than 25% of Mrs. Hanson's order should be polo shirts.
Mrs. Hanson should order 50% fewer v-neck shirts than polo shirts.
Answers
Answer:
Mrs. Hanson should order about 2.5 times as many crew neck shirts as raglan shirts.
Step-by-step explanation:
Answer:
Mrs. Hanson should order about 2.5 times as many crew neck shirts as raglan shirts.
Step-by-step explanation:
मिनधन १.. 18,900 हुन्छ भन सावा रकम पता लगा
Find the sum that amounts to Rs. 18,900 in 4 years at
13
% per year simple interest.
2.
(Ans: Rs.15,000/
Answers
Answer:
Solution given:
principal [P]=P
time [T]=4 years
Rate [R]=13%
compound amount=18900
Simple interest=P-18900
we have
simple interest=[tex] \frac{P*T*R}{100} [/tex]
P-18900=[tex] \frac{P*4*13}{100} [/tex]
100P-1890000=52P
48P=1890000
P=1890000/48
P=39375
the sum that amounts =Rs 39375
To identify high-paying jobs for people that do not like stress, the following data were collected showing the average annual salary ($1000) and the stress tolerance for a variety of occupations (Business Insider, November 8, 2013). The stress tolerance for each job is rated on a scale from 0 to 100, where a lower rating indicates less stress.
Job Average Annual Salary ($1000s) Stress Tolerance
Art directors 81 69
Astronomers 96 62
Audiologists 70 67.5
Dental hygienists 70 71.3
Economists 70 63.3
Engineers 92 69.5
Law teachers 92 62.8
Optometrists 100 65.5
Political scientists 98 60.1
Urban and regional planners 102 69
Required:
Draw scatter diagram for these data with average annual salary as the independent variable.
Answers
Answer:
Y = -0.09594X + 74.35629
Step-by-step explanation:
Given the data :
Job average annual salary (X) :
81
96
70
70
70
92
92
100
98
102
Stress tolerance (Y) :
69
62
67.5
71.3
63.3
69.5
62.8
65.5
60.1
69
Using technology, the linear model Obtian by fitting the given data is :
Y = -0.09594X + 74.35629 ;
Where ;
Y = stress tolerance (dependent variable)
X= Average annual salary (Independent variable)
Slope = 0.09594
Intercept = 74.35629
En un experimento en el laboratorio, se
midió el tiempo que tardaba en derretirse
un cubo de hielo. A una temperatura de
60°F, el cubo tardó 1.5 horas en
derretirse. A una temperatura de 90°F, el
cubo se derritió en 1 hora.
¿Cuál explicación de k, la constante de
proporcionalidad en la relación entre
tiempo y temperatura, es CORRECTA?
Answers
Jason has $6,700 in his bank account. He withdraws $1,900 from his bank account o pay for rent. Brett books a vacation 3-days later that costs $4,000. He withdraws $3,500 from his account and goes on a payment pay for the remainder
Answers
Answer:
thers no question
Step-by-step explanation:
The top rail of a boat is 4 ft out of the water. If the water rises 3 ft, how far out of
the water is the top rail of the boat?
Answers
Answer:
the correct answer is 1ft
Step-by-step explanation:
4ft-3ft
=1ft
4x + 6 = 30
What is the solution to the equation?
A. X= 4
B. X= 9
C. X = 6
D. X = 24
Nee
Answers
Answer:
x<-4
Step-by-step explanation:
because 4 multiplied by 6 equals 24, and adding 6, that equals 30
please help me. f(x) = In(x)^6 find f'(x)
Answers
Answer:
f'(x) = 6/x
Step-by-step explanation:
1. Use logarithm rules to move the power to the front so ln(x)^6 becomes 6 ln(x).
2. Differentiate ln(x) which is always 1/x
3. multiply 1/x by the 6
6/x
ABCD is a parallelogram. Find x and the length of CD.
Answers
Answer:
3×+9=5x-5
-2×=-14
×=7...thenCD=3(7)+9=30
-9 (-2) please answer
Answers
Answer:
18
Step-by-step explanation:
You can multiply 9 x 2 like normal to get 18. Then you look at the signs. They are both negative, meaning their product is positive, making the answer 18.
When you multiply two negative numbers, the product is positive.
The area of a parallelogram is 240 in. If the base is 15 inches, find the height.
Answers
Answer:
The height would be 16 hope this helps:)!!!
The area of a parallelogram is the length x the height.
You are given the area and the length.
To find the height divide the area by the length.
Height = 240/15 = 16 inches.
What data display would be best for the numbers and types of different species of fish
Answers
Answer:
Bar Chart
Step-by-step explanation:
The Bar graph is has immense capability in the aspect of data visualization. It is capable of grouping data into different categories, such as in the scenario above, where fishes are grouped based on species. These groups are then represented as vertical bars displaying the number of these species of fish. With this we can make comparison and inferences regarding the maximum, minimum and other summary statistics about the distribution.
i am requesting help on this asap
Answers
Polygons Determine the measure of one through 12
Answers
Answer:
And there are twelve angles... So, the measure of the interior angle of a regular dodecagon is 150 degrees.
Step-by-step explanation:
A rabbit hops 8 meters in one second. After 7 seconds, the rabbit has hopped 20 meters. What is the rabbit's average rate of change? A. 1/2 B. 2 C. 5 D. 20
Answers
Answer:
Average Rate of change = 2
Step-by-step explanation:
Given - A rabbit hops 8 meters in one second. After 7 seconds, the rabbit has hopped 20 meters.
To find - What is the rabbit's average rate of change?
Formula used -
Average rate of change of a function f(x) in an interval [a, b] is [tex]\frac{f(b) - f(a)}{b - a}[/tex]
Proof -
Given that,
In 1 second - Rabbit hoops 8 meters
In 7 seconds - Rabbit hoops 20 meters
So,
Average Rate of change = [tex]\frac{20 - 8}{7 - 1}[/tex]
= [tex]\frac{12}{6}[/tex]
= 2
⇒Average Rate of change = 2
Which statement must be true?
A. X
B. X=y
C. x >y
D. No relationship between x and y can be determined from the information given,
ILL GIVE BRAINLIEST
Answers
Answer:
A
Step-by-step explanation:
The statement true about the triangles is x < y
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the first triangle be ΔABC
Let the second triangle be ΔDEF
And , the measure of ∠ABC = x°
The measure of ∠DEF = y°
The measure of side AC = 15 units
The measure of side DF = 20 units
For a triangle , the longest side in a triangle is always opposite the largest angle, and the shortest side is opposite the smallest angle
Hence , the angle ∠DEF > ∠ABC of the triangle ( x < y )
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if 8.7%, of the 210,000,000 american are unemployed,how many Americans are unemployed?x
Answers
Answer:
it would be 45%
Step-by-step explanation:
Answer:
18,270,000 Americans
Step-by-step explanation:
8.7 x 210,000,000 = 1827000000
take 2 zeros out of 1827000000
18,270,000
cheryl wants to buy a bicycle that costs 160$. if she saves 12$ each week, what is the fewest number of weeks she must save in order to buy the bicycle?
Answers
please show the answer choices
Answer:
14 weeks.
Step-by-step explanation:
160/12= 13.8
13 weeks earns her $158
14 weeks earns her $160. So the fewest number of weeks she needs is 14.