Answer: [tex]4\sqrt{5}[/tex]/9.0
Step-by-step explanation:
Simple way: Pythagorean Theorem
[tex]a^{2} +b^{2} =c^{2}[/tex]
C being hypotenuse. A and B are bases that are interchangeable.
In this question, you are missing the hypotenuse.
a= 8, b=4 c=?
[tex]8^{2}+4^{2}=c^{2}[/tex]
[tex]64+16=c^{2}[/tex]
To get rid of [tex]c^{2}[/tex]. Square both sides.
[tex]\sqrt{64+16} =\sqrt{c^{2} }[/tex]
[tex]\sqrt{80}=c[/tex]
Simplify [tex]\sqrt{80}[/tex]
[tex]\sqrt{4*4*5} =4\sqrt{5}[/tex]
or 9.0
Please help me solve this ASAP please !
This is a Reflection :) Have a great day !
if x 60 and 30 find the unknown sizes of angle
Answer:
A special right triangle is a right triangle having angles of 30, 60, 90, or 45, 45, 90. Knowledge of the ratio of the length of sides of a special right triangle enables us to solve for any missing part of the triangle. The ratio of the side lengths of a special right triangle with angles of 30, 60, 90 is 1:sqrt(3):2, while the ratio of the side lengths of a special right triangle with angles of 45, 45, 90 is 1:1:sqrt(2).
A stack of 30 science flashcards includes a review card for each of the
following: 10 insects, 8 trees, 8 flowers, and 4 birds.
What is the probability of randomly selecting an insect?
The probability of randomly selecting an insect is 2/15.
What is probability?
It is a measure of happening or non happening of the outcomes of a random experiment.
Formula for probabilityP(E) = number of favorable outcomes/Total number of outcomes
Where, P(E) is the probability of any event.
Let E be an event of selecting an insect.
According to the given question
We have
Total number of insects = 10
Total number of trees = 8
Total number of flowers = 8
Total number of birds = 4
Now, the total number of outcomes = 10 + 8 + 8 + 4 = 30
Total number of favorable outcomes = 4
Therefore,
The probability of selecting an insect = [tex]\frac{4}{30} =\frac{2}{15}[/tex]
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The function The function p(t)=4+2(t−1) represents the number of people who can be seated at an event. The total of t tables are arranged in a certain way.
Select EACH correct statement about the scenario.
[] The function is an arithmetic sequence.
[] The number 2 is the beginning number of tables.
[] The number 2 is the number of tables added when t increases by 1.
[] The number 4 represents the number of people that can be seated at an event if only 1 table is available.
*Multiple Choice*
The correct statements about the scenario are;
The function is an arithmetic sequenceThe number 2 is the number of tables added when t increases by 1.The number 4 represents the number of people that can be seated at an event if only 1 table is available.According to the function given;
p(t)=4+2(t−1)Evidently, the function, p(t) represents the number of people that can sit when t tables are available.
T(n) = a + d(n -1)In essence, the function resembles that of a general arithmetic progression with first term, a = 4.
The common difference, d = 2.
The statements which are correct are therefore as listed above.
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[tex]Simplify: \frac{ 5×(25)^{n+1} - 25 × (5)^{2n}}{5×(5)^{2n+3 }- (25)^{n+1}} \\ [/tex]
Need help please"....."
[tex] \green{\large\underline{\sf{Solution-}}}[/tex]
Given expression is
[tex]\rm :\longmapsto\:\dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } [/tex]
can be rewritten as
[tex]\rm \: = \: \dfrac{5 \times { {(5}^{2} )}^{n + 1} - {5}^{2} \times {5}^{2n} }{5 \times {5}^{2n + 3} - {( {5}^{2} )}^{n + 1} } [/tex]
We know,
[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ {( {x}^{m} )}^{n} \: = \: {x}^{mn}}}} \\ [/tex]
And
[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ \: \: {x}^{m} \times {x}^{n} = {x}^{m + n} \: }}} \\ [/tex]
So, using this identity, we
[tex]\rm \: = \: \dfrac{5 \times {5}^{2n + 2} - {5}^{2n + 2} }{{5}^{2n + 3 + 1} - {5}^{2n + 2} } [/tex]
[tex]\rm \: = \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 4} - {5}^{2n + 2} } [/tex]
can be further rewritten as
[tex]\rm \: = \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 2 + 2} - {5}^{2n + 2} } [/tex]
[tex]\rm \: = \: \dfrac{ {5}^{2n + 2} (5 - 1)}{ {5}^{2n + 2} ( {5}^{2} - 1)} [/tex]
[tex]\rm \: = \: \dfrac{4}{25 - 1} [/tex]
[tex]\rm \: = \: \dfrac{4}{24} [/tex]
[tex]\rm \: = \: \dfrac{1}{6} [/tex]
Hence,
[tex]\rm :\longmapsto\:\boxed{\tt{ \dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } = \frac{1}{6} }}[/tex]
Juna travels 15 mph for 10 hours find the distance piles per hour
Answer:2 hours 15 mins = 2 1/4 hours
2 1/4 hours = 25 miles
1 hour = 25 ÷ 2 1/4 = 25 ÷ 9/4 = 25 x 4/9 = 11.1 miles
Answer: 11.1 mph
Step-by-step explanation:
Please Please Help Me
Answer:
Step-by-step explanation:
(4^29)
which aglae has a lager mass at 3 hours in kilograms
Answer:
A) The blue algae has 12 kg more mass at 3 hours.
B) The green algae has 12 kg more mass at 3 hours.
C) The blue algae has 36 kg more mass at 3 hours.
D) The green algae has 36 kg more mass at 3 hours
Sarah wants to
install new carpet in her living room.
The small square is tiled and will not be
carpeted. How many square yards of
carpet will she need?
Answer:
24 yd^2
Step-by-step explanation:
6yd * 4yd = 24 yd^2
If you translated the point a (4,-3) left 2 units and down 6 units where is A
Can anyone help me solve this? Thank you. The question is provided on the attachment
Answer:
V I R T U E
Step-by-step explanation:
I) 3d = 3 × 3 = 9
E) 4d + a = 4(3) + 1 = 12 + 1 = 13
R) d² + 5 = (3)² + 5 = 9 + 5 = 14
V) bc + 3d = 1/2 × (-2) + 3(3) = -1 + 9 = 8
T) a - 3c = 1 - (3 × -2) = 1 - -6 = 7
U) √3c²d = √3 × (-2)² × 3 = √3 × 4 × 3 = √36 = 6
Correct order:
V I R T U E
(Factorials)
Solve 5!
_help please_
Answer:
5*4*3*2*1= 120
you multiply each number to it's previous one till you reach 1
Please help me with this!
Answer:
2×2+3=7
6×2+3=15
output=input×2+3
translate 3(x-y)=2y+9 into a verbal sentence
Answer:
3 times x then minus 3 times y equal 2y plus 9
Step-by-step explanation:
Not sure if it works......
that's the verbal sentence (which is not formal sentence) i can think of now......
Choose the algebraic expression that matches the word phrase below.
the quotient of x and 10
Answer:
x ÷ 10
..,.................
The table below shows the amount of money
needed to buy different number of paint
buckets. What number should replace x?
Bucket Price
($)
5
25
6
30
7
X
8
40
II
Your answer
Explain how you got the answer you entered for #1. *
Your answer
Answer:
35
Step-by-step explanation:
if you multiply all of the numbers in the first boxes by five, those numbers would be correct. So if you multiply 7 by 5, your answer would be 35
yeah, uhm can someone help me with this?
Answer:
-24
Step-by-step explanation:
[tex]x/4 + 8 = 2\\x/4 = 2 - 8\\x/4 = -6\\x = -6 *4\\x = -24[/tex]
Can someone pls help me
Using Pythagorean theorem
[tex]\\ \sf\longmapsto H^2=P^2+B^2[/tex]
[tex]\\ \sf\longmapsto H^2=5^2+12^2[/tex]
[tex]\\ \sf\longmapsto H^2=25+144[/tex]
[tex]\\ \sf\longmapsto H^2=169[/tex]
[tex]\\ \sf\longmapsto H=13[/tex]
Which statement BEST compares the growth of the two functions shown in the table?
A
The value of the exponential function will never be greater than the linear
function
B)
The value of the linear function will never be greater than the exponential
function
The value of the linear function will eventually be greater than the
exponential function
D)
The value of the exponential function will eventually be greater than the
linear function
Answer will be (D)
The value of the exponential function will eventually be greater than the
linear function.
and
B)
The value of the linear function will never be greater than the exponential
function
The half-life of Carbon-14 is 5730 years. Suppose a fossil is found with 50% of Carbon-14 as compared to a living sample. How old is the fossil?
A) 5730 years
B) 57 years
C) 5728 years
D) 572 years
Answer:
The answer is A.
Step-by-step explanation:
Because it takes 5730 years for half of a sample of carbon-14 atoms to decay. It says that 50% of the carbon atoms have decayed so that means that 5730 years have elapsed for that fossil.
Hope this helps!
Which of these represents the conjugate of the impedance of a circuit written as 7 – i ohms?
A
–7 – i ohms
B
–7 + i ohms
C
–7i ohms
D
7 + i ohms
For the expression 7 - i ohms, the conjugate will be 7 + i ohms (the sign was changed from negative to positive)
The impedance of the circuit is written in form of a complex number.
The standard representation of a complex number is expressed as a + ib where:
a is the real part
ib is the imaginary part
The conjugate of the complex number a + ib will be a - ib. Note that the signs of the expression were changed from addition to subtraction.
Similarly for the expression 7 - i ohms, the conjugate will be 7 + iohms (the sign was chaged from negative to positive)
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Find m FGN
See picture and give explanation please! Thank you!
Answer:
m<FGN=(7x+18)º=88º
Step-by-step explanation:
(7x+18)º=(6x-10)º+38º
x=10
so
m<FGN=(7x+18)º=88º
hope this is the answer you're looking for.
Halp meh ples friends :D
Answer: I gotchu it’s
9 and 1/5
Step-by-step explanation:
Bob's gift shop sold a record number of cards for Mother's Day. One salesman sold 42
cards, which was 4% of the cards sold for Mother's Day. How many cards were sold
for Mother's Day?
Multiply/scale up to solve.
cards
42
100
4
percent
Answer:
Bob sold 1,050 cards for Mother’s Day
Step-by-step explanation:
The equation x²– 8x – 5 = 0 can be transformed into the equation (x - p)² = q, where p and q are real numbers. What are the values of p and q?
The form (x - p)^2 = q is the form that completing the square will leave us with.
---Add 5 to both sides
x^2 - 8x = 5
---Divide the b term by 2, and square it. Then, add that number to both sides.
-8/2 = -4
(-4)^2 = 16
x^2 - 8x + 16 = 5 + 16
x^2 - 8x + 16 = 21
---Factor!
(x - 4)^2 = 21
p = 4
q = 21
Hope this helps!! :)
P and q have values of 4 and 21, respectively.
What is an expression?In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.
The form (x - p)²= q is what we get when we complete the square.
Adding the number 5 on both sides,
x² - 8x = 5
After dividing by two, square the b term. Then divide both sides by that figure.
-8/2 = -4
(-4)² = 16
x² - 8x + 16 = 5 + 16
x² - 8x + 16 = 21
Solve the factors,
(x - 4)² = 21
p = 4
q = 21
As a result, the values of p and q are 4 and 21, respectively.
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A company sets sales goals for employees each month.
At her current pace, how many items will Kristina sell in 28 days? Is she on track to meet the goal? Explain.
b. At his current pace, how many dollars worth of product will Jim sell in 28 days? Is he on track to meet the goal? Explain.
Answer:
A. Kristina will sell 294 items in 28 days if she stays on her current pace.
B. She is not on track to meet the goal.
Step-by-step explanation:
By doing the math she would only sell around 294 items by day 28 when she needs to sell around 400 to reach her goal. if she keeps this pace she won’t reach that goal unless she is able to bump up her weekly count by 2-5 items then she can either hit the goal or go over.
Please help
10 points and I will give you brainliest
Step-by-step explanation:
here u go.
hope it helps you
Answer:
-10
Step-by-step explanation:
5ab-4bc+8ab+9=
1) 5ab+8ab=13ab
2) 13ab-4bc=b(13a-4c)
3) b(13a-4c)+9= (-1)( 13×3-4×5)+9= -19+9= -10
5) John Tavares needed some new plants for his apartment. Each tree he purchased was
21.99. If John bought 4 trees and left a 34% tip, how much did he pay in total for the
plants including the tip?
Answer:
$117.87
Step-by-step explanation:
4 trees x $21.99 = $87.96
34% x $87.96 = $29.91 tip
Total = $87.96 + $29.91 = $117.87
Another destructive species transplanted by humans to the United States is the
Burmese Python, one of the largest snakes in the world. Imported as pets, some
escaped, and many more were released by their owners, possibly after getting
too big to care for. Most places are too cold for the tropical snake, but it has
begun to thrive in southern Florida.
Assume that the Burmese Python population in Florida is modeled by the
formula P(t) = Po: (1.15)? If there were 100,000 Burmese Pythons in 2010 (no
t
one really knows the exact number), how large could the population become by
2050 (without human intervention)?
Without human intervention, by 2050 there will be 26,786,354 Burmese Pythons in the United States.
Given that it is proposed that the Burmese Python is increasing its population at a rate of 1.15 year by year, and that it is estimated that by 2010 there were 100,000 of these in the United States, to estimate how many there will be by 2050 the following calculation should be done:
100,000 x 1.15 ^ (2050-2010) = X 100,000 x 1.15 ^ 40 = X 100,000 x 267.86 = X 26,786,354.62 = X
Therefore, without human intervention, by 2050 there will be 26,786,354 Burmese Pythons in the United States.
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Negative four and one-fifth minus negative thirteen and one-tenth
Answer:
8 nine tenths
Step-by-step explanation: