Each vertical cross-section of the triangular prism shown below is an isosceles triangle.
8
What is the height, h, of the triangular prism?
Round your answer to the nearest tenth.
Answers
Answer:
x = 3 unitsStep-by-step explanation:
use Pythagorean theorem:
a² + b² = c²
where a = h
b = 8/2 = 4
c = 5
plugin values into the formula:
h² + 4² = 5²
h² = 5² - 4²
x = √9
x = 3
Related Questions
400 Suppose a particular surveillance system has a 99% chance of correctly identifying a future terrorist and a 99.8% chance of correctly identifying someone who is not a future terrorist. If there are 1,000 future terrorists in a population of 400 million, and one of these 400 million is randomly selected, scrutinized by the system, and identified as a future terrorist, what is the probability that he/she actually is a future terrorist
Answers
Answer:
1.236 × 10^(-3)
Step-by-step explanation:
Let A be the event that the person is a future terrorist
Let B the event that the person is identified as a terrorist
We are told that there are 1,000 future terrorists in a population of 400 million. Thus, the Probability that the person is a terrorist is;
P(A) = 1000/400000000
P(A) = 0.0000025
P(A') = 1 - P(A)
P(A') = 1 - 0.0000025
P(A') = 0.9999975
We are told that the system has a 99% chance of correctly identifying a future terrorist. Thus; P(B|A) = 0.99
Thus, P(B'|A) = 1 - P(B|A)
P(B'|A) = 1 - 0.99
P(B'|A) = 0.01
We are told that there is a 99.8% chance of correctly identifying someone who is not a future terrorist. Thus; P(B'|A') = 0.998
Hence: P(B|A') = 1 - P(B'|A')
P(B|A') = 1 - 0.998
P(B|A') = 0.002
We want to find the probability that someone who is identified as a terrorist, is actually a future terrorist. This is represented by: P(A|B)
We can find it from bayes theorem as follows;
P(A|B) = [P(B|A) × P(A)]/[(P(B|A) × P(A)) + (P(B|A') × P(A')]
Plugging in the relevant values;
P(A|B) = [0.99 × 0.0000025]/[(0.99 × 0.0000025) + (0.002 × 0.9999975)]
P(A|B) = 0.00123597357 = 1.236 × 10^(-3)
Directions (0.13 to 0.16): Find the odd one out.
13.
(1) Gujarat
(2) Maharashtra
(3) Uttar Pradesh
(4) West Bengal
Answers
Answer:
[tex]uttar \: pradesh[/tex]
Step-by-step explanation:
[tex]because \: all \: except \: uttar \: pradesh \\ \: have \: sea \: coast \\ \: \\need \: brainliest \: and \: thankss...[/tex]
Identify the rule relating each term in the following sequence: 8, - 4, 2 - 1, 1/2, 1/4, 1/8
A: Divide by 2
B: Divide by -2
C: Multiply by -2
D: Multiply by 2
Answers
Answer:
B: Divide by -2
Step-by-step explanation:
The only logical conclusion would be divide by -2, though that may not be the entire correct answer. Why?
Firstly, the sequence of 8, -4, 2, -1 only follows division by -2. Division by 2 would result in 8, 4, 2 and 1, multiplication by -2 would result in 8, -16, 32, -64, and multiplication by 2 would result in 8, 16, 32 and 64. Hence, the only logical conclusion would be division by -2.
However, this rule breaks down as we go into the fractions. -1 / -2 is 1/2, sure, but (1/2) / -2 should be - 1/4, and not 1/4. Hence, as we go into the fractions, the rule should have changed to division by 2 instead.
The only solution to unite the whole sequence would be to correct 1/4 to -1/4, and maybe OP should check whether that is the case.
Hope this helped!
Answer:
b. divided by -2
Step-by-step explanation:
Which equation has the solutions x=1+/- 5?
Ox^2+2x + 4 =0
Ox^2-2x + 4 =0
Ox^2+ 2x-4 = 0
Ox^2-2x – 4 =0
Answers
Answer:
[tex]x^{2} -2x-4=0[/tex]
Solving Steps
Use the quadratic formula
[tex]x=\frac{-(-2)(+/-)\sqrt{(-2)^2-4*1*(-4)} }{2*1}[/tex]
Multiply / Remove the parentheses / Evaluate
[tex]x=\frac{2(+/-)\sqrt{4+16} }{2}[/tex]
Calculate
[tex]x=\frac{2(+/-)\sqrt{20} }{2}[/tex]
Separate the solutions
[tex]x=\frac{2(+/-)2\sqrt{5} }{2} \\x=\frac{2-2\sqrt{5} }2}[/tex]
Simplify
[tex]x=1+\sqrt{5} \\x=1-\sqrt{5}[/tex]
The school band is ordering health bars to sell for a tundraiser The company that sells the bars charges $0.40 per bar
plus $20.00 for shipping regardless of the size of the order. The band must spend less than $200.00 on bars for the
tundraiser The inequality below relates x the number of bars that could be ordered, with the shipping costs and their
spendingg requirements
040x+20 <200
Which best describes the number of bars the band can order?
O They can onder from 0 to 449 bars but no more
O They can order trom 0 to 450 bars but no more
O Their order must contain 451 bars or more
O Their order must contain 452 bars or more
Answers
Answer:
A
Step-by-step explanation:
Answer:
A: They can order from 0 to 449 bars, but no more.
Step-by-step explanation:
the other guy deserves more likes
Write [ (-4)×(-5)]^5 as a product of powers.
A.(-4)^5+(-5)^5=
b. 4^5×5=
c. (-4)^5×(-5)^5=
d.5(-4)+5(-5)=
Answers
Answer:
c
Step-by-step explanation:
I took the test and got a 4/5
Answer:
(-4)^5x(-5)^5=
Step-by-step explanation:
Madea hires a caterer to provide food for her birthday. The caterer charges
her $225 for food and supplies and $25 per hour to serve during the party.
Madea ends up paying $350 total. How many hours did the caterer serve?
Use the equation 25x+225=350 to solve.
Answers
Answer:
The caterer served 5 hours. x = 5
Step-by-step explanation:
25x + 225 = 350
We must use inverse operations to get x
25x + 225 - 225 = 350 - 225
25x = 125
25x ÷ 25 = 125 ÷ 25
x = 5
the caterer served 5 hours.
I hope this helped and if it did I would appreciate it if you marked me Brainliest. thank you and have a nice day!
1. Neena is listening to a song. It has a consistent beat. She counts 11 beats in 5 seconds. What is the constant of proportionality for the relationship of beats to minutes?
Answers
Answer:
132
Step-by-step explanation:
132
Step-by-step explanation:
First, find how many beats are in a minute by creating a proportion:
\frac{11}{5} = \frac{x}{60}
Cross multiply and solve for x:
5x = 660
x = 132
So, there are 132 beats in one minute.
This means the constant of proportionality is 132.
Answer:
132
Step-by-step explanation:
if 126 base n is equal to 86 find the positive value of n
If 126n = 86, find a positive value for n
Answers
Answer:
0.68?
Step-by-step explanation:
I am not from English speaking country so I am not sure about the first sentence but the second
126n = 86 | /126
n = 86/126
n ≈ 0,68
Please help!!!! Will mark Brainliest!!!! Pleaseeee!! 20 Points!!!!
Answers
1 Austin earned 47 out of 50 points on his math test. Marty earned a 92% on his math test. Who earned a higher score? Marty or Austin
Answers
Answer:
Austin earned a higher score
Step-by-step explanation:
47/50 (Austin's score) = 94/100 (denominator is now 100) = 94% (converted to percentage) > 92% (Marty's score)
Hope this helps!
Answer:
Austin earned a higher score.
Step-by-step explanation:
Marty 50 * 0.92 = 46 points
What equation has w=8 as the solution
Answers
Answer:
3w+7=31
Step-by-step explanation:
Subtract 7 on both sides
3w+7=31
-7 -7
Divide by 3 on both sides
3w=24
/3 /3
w=8
Hopefully, this helps! :)
ON A COMPUTER SCREEN ANSWER ASAP
Point M is drawn as the midpoint of BC.
Which of the following could be used as part of the proof that B2C? Select three that apply.
AB AC because of the definition of an isosceles triangle
BAC because corresponding parts of congruent triangles are congruent.
AABM 4 AACM because of the SAS triangle congruence criterion
BMCM because of the definition of a midpoint
AM A AM because of the Symmetric Property
Answers
Answer:
A. AB = AC because of the definition of an isosceles triangle
B. ∠B = ∠C because corresponding parts of congruent triangles are congruent.
D. BM = CM because of the definition of a midpoint
Step-by-step explanation:
A. An isosceles triangle is a triangle with two equal sides, hence:
AB = AC because of the definition of an isosceles triangle. option A is correct.
D. Since Point M is drawn as the midpoint of BC, hence:
BM = CM because of the definition of a midpoint. Option D is correct.
E. Reflexive property of congruence states that an angle, line segment, or shape is always congruent to itself. hence AM ≈ AM because of reflexive property.
AM ≈ AM because of the Symmetric Property is wrong. Option E is wrong.
C) The side - side - side (SSS) triangle congruence theorem states that if all the sides of two triangles are equal, then they are congruent triangles.
Since BM = CM, AM = AM and AB = AC, hence ΔABM = ΔACM because of the SSS triangle congruence criterion
ΔABM = ΔACM because of the SAS triangle congruence criterion is wrong. Option C is wrong.
D. Corresponding parts of congruent triangles are congruent. hence:
∠B = ∠C because corresponding parts of congruent triangles are congruent. Option B is correct
I need help with this problem.
Answers
What’s 3/6 as a mixed number
Answers
Hope this helped!!
Answer:
It can't be made into a mixed number
Step-by-step explanation:
Clare is in charge of getting snacks for a road trip with her friends and her dog. She has
$35 to go to the store to get some supplies. The snacks for herself and her friends cost
$3.25 each, and her dog's snacks costs $9 each.
Answers
Answer:
$15 and 50 cents
Step-by-step explanation:
3.25x2=6.50+9=15.50
Select the correct answer from the drop-down menu.
N
56°
56°
34
M
Р
20
Answers
Answer:
the amswer is b hope this helps
IS THIS RIGHT PLSS HELPPP
Answers
Answer:
yes
Step-by-step explanation:
The population of a city decreases by 4% per year. If this year's population is 231,000, what will next year's population be, to the nearest individual?
Answers
Answer:
221,760
Step-by-step explanation:
1. multiply 231,000 by 4
2. divide the answer by 100
3. subtract that answer from 231,000
4. This is the answer to the question
Students set up the experiment shown in their Biology class. After 24 hours, students noticed gas had accumulated in one of the inverted test tubes.
They measured the amount of gas.
What would be a best explanation for the gas accumulated in one of the inverted test tubes?
Answers
Answer: Light caused the eludes plants to photosynthesize, releasing O2 gas
Students replicated the experiment carried out in biology class, and after observing for 24 hours that gas had accumulated in one of the inverted test tubes, it is by light caused to elodea plant to photosynthesize and release oxygen, hence option D is correct.
What is the photosynthesis experiment?There are numerous studies that show photosynthesis in action. For instance, when an elodea plant is exposed to sunlight, gases are emitted, collected in a tube, and tested to see if they contain oxygen.
This shows that the plant creates oxygen and glucose when exposed to sunlight.
Therefore students replicated the experiment carried out in biology class, and by the plant during the process of photosynthesis, hence option D is correct.
Learn more about photosynthesis, here:
https://brainly.com/question/30033973
#SPJ5
What is the length of side a?
Answers
Answer:
where is the picture
Step-by-step explanation:
u need a pic
Solve for points....
Answers
Answer:
Step-by-step explanation:
For Mr Rowley,
Ratio of Number of home works to the number of exit tickets = [tex]\frac{12}{14}[/tex]
= [tex]\frac{6}{7}[/tex]
= 6:7
For Ms Rivera,
Ratio of Number of home works to the number of exit tickets = [tex]\frac{36}{42}[/tex]
= [tex]\frac{6}{7}[/tex]
= 6:7
Since, both the ratios are same, fractions will be proportional.
[tex]\frac{12}{14}=\frac{36}{42}[/tex]
Corey Steinbruner is the marketing director for a new vitamin supplement and he wants to place ads in two magazines: Sports Illustrated and Men's Health. Corey estimates that each one-page ad in Sports Illustrated will be read by 4 million people and costs $2000 and each one-page ad in Men's Health will be read by 1 million people and costs $1000. Corey does not want to budget more than $14,000 on advertising and wants to place at least 3 ads in Sports Illustrated and at least 4 ads in Men's Health. a) Let LaTeX: xx be the number of ads in Sports Illustrated and LaTeX: yy be the number of ads in Men's Health. Write the objective function (with quantities in millions) to find the maximum number of readers reached by the ads.
Answers
Answer:
Step-by-step explanation:
From the given information:
x = number of ads in sports illustrated
y = number of ads in Man's health
Thus, the total ads read by z = (4x +y) million people
The objective function to maximize Z (millions) is:
Z = 4x + y
To determine x & y; constraint to,
x ≥ 3, y ≥ 4
Budget constraint: 2000x + 1000y ≤ 14000
By approaching the graphically
If we draw the line x = 3 , y = 4
Then;
2000x + 1000y = 14000
2x + y = 14
Corner points are A (3,4), B(5,4), C(3,8)
At A(3,4):
Z = 4(3) + 1 (4) = 16
At B(5,4):
4(5) + 1 (4) = 24
At C(3,8):
4(3) + 1(8) = 20
Thus, Z = 24 million. x = 5, y = 4
Therefore;
they should place 5 ads in sports illustrated.
4 ads in man's health to maximize the number of 24 million readers.
Which expression is equivalent to the expression below? 1/2 * x - 1
Answers
Answer:
2 * x - 2
Step-by-step explanation:
If you double something on one side, you have to do it on the other side
So you can do this for any problem, and it will be equivalent to the original expression :D
what
is
balanced
diet
?
Why
should
we
take
balanced
What
are
the
functions
of
protein
?
Write
its
sources
,
Name
two
food
items
that
make
us
fat
(
obese
)
if
taken
in
exc
and regularly
Name two protective food product,
List the importance of water in our diet.
How can we preserve our foods?
Why should we not over cook our food?
Make a list of nutrients with three sources of each,
Watch the following
again
Proteins
bones and teeth
body building food
Fats
Answers
Answer:
A balanced diet is when we eat different groups of food in right proportion and in sufficient quantity to maintain a healthy life
The function of proteins :supply the amino acids necessary to synthesize new proteins needed for metabolism,growth and repair
I need help on this question
Answers
Answer:
Mexico
Step-by-step explanation:
It’s in Spanish
Hurry!!!!!!! Plz answer fast 90 points
Answers
To calculate this percentage, we suggest using this formula:
% / 100 = Part / Total
Substituting the provided values:
60/100 = Part / 20
Performing cross multiplication:
60 x 20 = 100 x Part, or
1200 = 100 x Part
Now just divide by 100 and get the answer:
Part = 1200/100 = 12
What is the simplified value of the exponential expression 273?
Answers
Answer:
3
Step-by-step explanation:
27^1/3
= 3√27
=3 is the collect option
Can somebody please help with this?
Answers
Since that second equation is equal to y, you can substitute the entire thing into the top equation, getting rid of the y and solving for x. It equals 3.
You can then plug 3 in for x on either equation, which should be 62.
HELPP PLSSS!! I NEED HELPL
Answers
Answer:
65% :) enjoy your day!
Step-by-step explanation:
please mark brainliest