Answers
Answer:
B. Isosceles right triangle.
Step-by-step explanation:
The triangle given has two sides that have equal lengths. It also has a right angle.
An Isosceles triangle has two equal side lengths.
Therefore, since the triangle above has a right angle and has two equal side lengths, based on the side lengths, it can can be classified as an isosceles right triangle.
Related Questions
3) A sample of 42 grams of an unknown substance has a half-life of 1,300 years.
(a) Write an equation to determine the amount of substance, S, left after t years.
(b) Approximately how long will it take for 0.2 grams of substance to remain (to the nearest year)?
Answers
Answer:
a) [tex]S(t) = 42(0.9995)^t[/tex]
b) It will take 10,692 years.
Step-by-step explanation:
Exponential function to determine the amount of substance:
An exponential function to determine the amout of substance after t years is given by:
[tex]A(t) = A(0)(1-r)^{t}[/tex]
In which A(0) is the initial amount and r is the decay rate, as a decimal.
(a) Write an equation to determine the amount of substance, S, left after t years.
Half-life of 1300 years means that [tex]A(1300) = 0.5A(0)[/tex].
We use this to find r. So
[tex]A(t) = A(0)(1-r)^{t}[/tex]
[tex]0.5A(0) = A(0)(1-r)^{1300}[/tex]
[tex](1-r)^{1300} = 0.5[/tex]
[tex]\sqrt[1300]{(1-r)^{1300}} = \sqrt[1300]{0.5}[/tex]
[tex]1 - r = 0.9995[/tex]
[tex]r = 0.0005[/tex]
Sample of 42 grams means that [tex]A(0) = 42[/tex]. So
[tex]A(t) = A(0)(1-r)^{t}[/tex]
Replacing A by S, just for notation purposes
[tex]S(t) = 42(0.9995)^t[/tex]
(b) Approximately how long will it take for 0.2 grams of substance to remain (to the nearest year)?
This is t when [tex]S(t) = 0.2[/tex]. So
[tex]S(t) = 42(0.9995)^t[/tex]
[tex]0.2 = 42(0.9995)^t[/tex]
[tex](0.9995)^t = \frac{0.2}{42}[/tex]
[tex]\log{(0.9995)^t} = \log{\frac{0.2}{42}}[/tex]
[tex]t\log{0.9995} = \log{\frac{0.2}{42}}[/tex]
[tex]t = \frac{\log{\frac{0.2}{42}}}{\log{0.9995}}[/tex]
[tex]t = 10692[/tex]
It will take 10,692 years.
10 Which value of x makes the inequality 3x+3 > 15
true?
A x= 5
B. x = 2
C. x= 3
D. x = 4
Answers
Answer:
A, x=5
Step-by-step explanation:
By simplifying the inequality we get:
The only answer that is greater than 4 is A.
Answer:
yes
Step-by-step explanation:
During a test period, an experimental group of 10 vehicles using an 85 percent ethanol-gasoline mixture showed mean CO2 emissions of 240 pounds per 100 miles, with a standard deviation of 20 pounds. A control group of 14 vehicles using regular gasoline showed mean CO2 emissions of 252 pounds per 100 miles with a standard deviation of 15 pounds. A quick comparison of the sample variances suggests that the population variances are:
a. probably equal.
b. probably unequal.
c. incomparable.
Answers
Answer:
Probably unequal ( B )
Step-by-step explanation:
experimental group = 10
using 85% ethanol gasoline
mean = 240 pounds per 100 miles
standard deviation = 20 pounds
control group = 14 vehicles
using regular gasoline
mean = 252 pounds per 100 miles
standard deviation = 15 pounds
comparing the sample variance of each group shows that they are probably unequal using the equation below
Variance for a sample set of data = ∑ ( x - X ) ^2 / n - 1
where n = number of events
X = mean value
x = value of events
What is the theoretical possibility of getting one heads and one tails in 2 coin drops with the possibility of it being HH, HT, TT? (heads and heads, heads and tails, tails and tails.)
(please help)
Answers
Answer:
2.29*20 = 45.80 and 3.49*35 = 122.15.2.29*20 = 45.80 and 3.49*35 =
Step-by-step explanation:
Answer:
48/100
Step-by-step explanation:
because since the tails side is heavier, it is a 51% that it will land on talies and a 49% that it will land on heads.
What is 5% of 345? ......
Answers
Answer:
17.25
Step-by-step explanation:
5/100 x 345 = 1725/100 = 17.25
HELP MEEEEEEEEEEEEEEEE PLSSSSSSSSSSSSSSSSSSSS I BEG I BEG
Answers
Answer:
A. There are 8 seventh grade students
B. There are 14 total questions on the test
Step-by-step explanation:
. Resolver la siguiente inecuación, utilizar la notación de intervalos y representar el conjunto
solución en la recta real:
3x-1 + x+7 < 2x+5 + 7
5 2 3
Answers
Answer:
bat di mo masagotan bobo kaba ikaw somagot nyan kasi dapat nagaaral kanangmabuti hayop ka wag kang mag patolong
absolute value of x=5
what is x
Answers
Answer:
5
Step-by-step explanation:
5 = 5
3(x-4)=12x distributing or diving
Answers
Q1. Butternut is a ski resort in Massachusetts. One of their triple chair lifts unloads 576 skiers per hour at the top of the slope. (A triple chair lift can carry three passengers per chair.) If 108 skiers are riding on the lift at any one time, how long does the ride from the bottom to the top take
Answers
Answer:
11.25minutes
Step-by-step explanation:
From the question we are told that lifts unloads 576 skiers per hour at the top of the slope, this is expressed as;
576skiers = 1hr
To determine the time it will take 108skier, we can write
108skier = x
Divide both expressions
576/108 = 1/x
576x =108
x = 108/576
x = 0.1875hr
Convert to minute
x = 0.1875×60
x = 11.25minutes
Hence it took the ride 11.25minutes
pa^2 + qb^2 + pb^2 + qa^2
Answers
Answer:
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1/2(m - 3) = 1/4(m - 7)
I
Solve
Answers
½m - ¹/₄ m = -⁷/₄ + ³/₂
¹/₄ m = -¹/₄
M=-1
Hurry I need help
142 is what percent of 596?
(Write your answer as a percent rounded to the nearest tenth of a percent. Include the % on your answer.)
Answers
Answer:
Step-by-step explanation:
142/596 ≅ 0.238 = 23.8%
[tex] \frac{142}{596} \times 100[/tex]
= 23.8255....
= 23.8%
k a i ran 3/5 of a kilometer yesterday and today he ran 6 times as far so how much did he run today
Answers
Answer:
Today, kai ran 1 3/5 kilometers.
Step-by-step explanation:
im sorry if this is incorrect.
write these ratio in its simplest form 200:180
Answers
Answer:
10:9
Step-by-step explanation:
Ayuden con la ecuación
[tex] \times + 15 = 51[/tex]
Answers
X= 36
Which of the following is most likely the next step in the series?
Answers
Answer:
I need more info to answer this question.
Step-by-step explanation:
What is the value of x?
3
4
6
8
Answers
2x = 18-10
2x = 8
x = 4
if you need y
2y + 4 = 10
2y = 10-4
2y = 6
y = 3
A regular price bathing suit is $89.99. What is the new price if it on sale for 25% off the regular price?
Answers
Answer:
$67.49 and 1/4 of a cent
Step-by-step explanation:
25% of 89.99 = 224975
89.99-22.4975=67.4925
Answer:
25%=1/4 1/4 of 90= 22.5 90-22.5=67.5
Step-by-step explanation:
Can someone help me?
Answers
Answer:
Step-by-step explanation:
5y-7=5d+3y
we will subtract 3y from both sides
5y-3y-7=5d
we will add 7 on both sides
2y=5d+7
we divide by 2
y=(5d+7)/2
or
y=5d/2+7/2
Y= 5d/2+7/2
What is the probability that the red die shows a six or the green die shows a six?
Answers
Answer:
[tex]\frac{11}{36}[/tex]
Step-by-step explanation:
= 1/6 + 1/6 - 1/6^2
What is the volume of this rectangular prism?
cm
3
cm
5
cm
3
cm
Answers
Answer:
2cm³
Step-by-step explanation:
Cameron combined peanuts, cashews and walnuts to make a trail mix. The expression 16p+24c+32w represents the total number of nuts in the mix. Cameron wants to divide the trail mix into equal servings, but he does not know how many. Use factoring to write expressions that will help Cameron divide the trail mix into 4 servings or 8 servings.
Answers
72 nuts mix the trail 4 ➕ 8
Answer:
Step-by-step explanation:
What is the standard form of 17 and 223,000
Answers
Do set of numbers DO NOT form a Right Triangle?
4, 5, 6
9, 12, 15
5, 12, 13
3,4,5
It’s not 3,4,5 apparently..
Answers
Step-by-step explanation:
4,5,6 do not form a right angle triangle cus 4²+5² is not equal to 6² i.e 16+25is not equal to 36
what is 8% as a decimal or fraction in simplest form and a fraction of 100
Answers
Answer:
=B2*C2+B3*C32.29*20 = 45.80 and 3.49*35 = 122.15.
Step-by-step explanation:
Write an equation that shows the relationship 40% of 140 is x
Answers
Answer:
x=140times0.4
Step-by-step explanation:
then subtract your anser from 140
HELP EMERGANCY FAST ANSWERS TIME LIMIT
Assume Sheila's nominal salary increases from $42,000 in 2003 to $69,000 in 2004.
If the Deflator increased from 106 in 2003 to 109 in 2004 and the CPI increased
from 184 in 2003 to 190 in 2004, what was Sheila's percentage increase in real
income?
6
Answers
Answer:
E)
Step-by-step explanation:
1 - (69,000 / 42,000) = .64285 * 100% = 64.3%
2 f(x)=x2 + 2x cómo se evalúa?
a) f(3)
b) f(-1)
c) f(x-3)
Answers
Answer:
b) f (-1) ese es el resultado
Find the length of the missing side. Round answers to the nearest tenth it
necessary. *
8
8