Find all solutions for a triangle with a = 14, b= 12, and B = 90°.
a)A = 90°; C = 30°; c= 10
b)A = 60°; C = 30°: c = 10
c)A = 90°; C = 60°; c = 12
d)no solutions
Answer:
No solution.
Step-by-step explanation:
Given
[tex]a = 14; b= 12; B = 90^\circ[/tex]
Required
Find all possible solutions
If [tex]B = 90^\circ[/tex], then the triangle is right-angled and the hypotenuse is at b
Given that [tex]a = 14; b= 12;[/tex]
This implies that a > b
In a right-angled triangle, the hypotenuse (side b) is the longest.
Since this is not true for the given sides, then the triangle has no solution.
Pls help with this question. It is due today!
Answer: B
Step-by-step explanation:
A group of tenth grade students responded to a survey that was asked which Math course they were currently enrolled in. The survey data were broken down as shown in the table above. Which of the following categories accounts for approximately 19% of all survey respondents?
A. Females taking Geometry
B. Females taking Algebra II
C. Males taking Geometry
D. Males taking Algebra I
Answer:
C.
Step-by-step explanation:
The bottom-right most cell tells us that the total number of students that responded to the survey is 310 students.
To find the answer, we can go through each choice.
A. Females taking Geometry
Row 1 Column 2 tells us that 53 females are taking geometry. 53/310 is about 17%.
B. Females taking Algebra II.
Row 1 Colume 3 tells us that 62 females are taking Algebra II. 62/310 is 20%.
C. Males taking Geometry.
Row 2 Colume 2 tells us that 59 males are taking Geometry. 59/310 is about 19%. Choice C is correct.
D. Males taking Algebra I.
44 out of the total 310 respondents are male and is taking Algebra I. 44/310 is about 14%.
Answer:
C
Step-by-step explanation:
59/310 *100 = 19.03%
so 19%
which expressions are equivalent to
-3(2w+6)-4
Answer:
-6w - 22
Step-by-step explanation:
-3(2w+6) - 4
-6w - 18 - 4
-6w - 22
Answer:
- 6w + 14
Step-by-step explanation:
- 3(2w + 6) - 4
- 6w + 18 - 4
- 6w + 14
I got 12 will someone double check me please? No links I can’t open them
Answer:
the first 6⅔
Step-by-step explanation:
in the image
Does the Y-axis or X-axis come first?
Answer:
X
Step-by-step explanation:
The X-axis is the one on the bottom if you are in the first quadrant. The y-axis is on the left or up and down. If you are writing location(I can't remember the name but it looks like this (2,3)) you would write the X-axis down first. Hope this helped!
what is the value of x
Answer:
A. 10
Step-by-step explanation:
Formula for the Pythagorean Theorem: a^2+b^2=c^2
Substitute: 6^2+8^2=c^2
6*6+8*8=c^2
36+64=c^2
100=c^2
Then, find we to the square root in order to isolate c^2.
10=c.
Final answer, A. 10.
What is the right way to use substitution method?
Answer:
Step-by-step explanation:
Substitution method can be applied in four steps. Step 1: Solve one of the equations for either x = or y = . Step 2: Substitute the solution from step 1 into the other equation. Step 3: Solve this new equation Happy too help!
09.04 Continuity at a point
Find the indicated limit, if it exists. (2 points)
Answer:
6
Step-by-step explanation:
limit is defined when the limit from both side are defined and equal to f
[tex]x-> -10^-[/tex], limit f(x)=-4-(-10)=6
f(-10)=6
[tex]x-> -10^+[/tex], limit f(x)=(-10)+16=6
Then
[tex]x->-10[/tex], limit f(x)=6
Hey can someone help pls
Answer:
Step-by-step explanation:
x2 - 2x - 35
First we have to find the factors of 35 that by subtracting equal to 2 so
x2 - 7x + 5x - 35
Taking common
x(x - 7) + 5(x - 7)
(x - 7) and (x + 5) are the factors
John bought a video game that was 30% off. The game was originally $70. What was the sale price of the game?
Answer:
49 Dollars
Step-by-step explanation:
If you subtract 70- 30%, you get 49 dollars
Hope this helps =)
If a worker is making $8 an hour how much would they make in 6 hours?
Answer:
$48
Step-by-step explanation:
8•6= 48
.....uchild
What equation is equivalent to (1/3)^x=27^x+2?
HELP!! Is –41/2 equivalent to (–4)1/2? Why or why not?
H.E.L.P
Thomas drove 45 miles in 1 hour. At this rate, how many miles will he drive in 4 hours?
A. 170 miles
B. 180 miles
C. 135 miles
D .90 miles
Answer:
B
Step-by-step explanation:
45*4=180
Answer:
its b
Step-by-step explanation:
i've tooken the test
4. The quotient of a number and 3 is at least 5.
Answer:
15 20 25 any of those!
Step-by-step explanation:
mark brainliest pls
If you roll two six-sided dice, what is the probability that at least one dies shows a 5 ?
Answer:
[tex]\frac{11}{36} = 0.3056[/tex] probability that at least one dies shows a 5.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Each dice:
6 sides, one of which is 5.
So 6-1/6 = 5/6 probability of rolling a 5.
Probability of not rolling a five in two rolls:
(5/6)^2 = 25/36
Probability of rolling a five in at least one of the rolls:
[tex]p = 1 - \frac{25}{36} = \frac{36}{36} - \frac{25}{36} = \frac{11}{36} = 0.3056[/tex]
[tex]\frac{11}{36} = 0.3056[/tex] probability that at least one dies shows a 5.
The city council voted on a new tax. The council has 20
total members and 20% of them voted in favor of the
new tax. How many members voted in favor of the tax?
Answer:
4
Step-by-step explanation:
You have to multiply the total members by the percentage.
20X[tex]\frac{20}{100}[/tex] =4
Find quotient and reminder, when 135 is divided by 12
Answer:
11 is quotient and reminder is 3
Step-by-step explanation:
11x12=132, 135-132=3
WILL GIVE BRAINLIEST
sketch the graph of the following equation: y=|4-3x|
Answer:
attached
Step-by-step explanation:
y=|4-3x| y: positive number
Maths please help me
Answer:
Libby = 16
Tom = 8
Kyle = 4
Step-by-step explanation:
total parts = 4+2+1 = 7
28/7 parts = 4 per part
Libby = 4 x 4 = 16
Tom = 2 x 4 = 8
Kyle = 1 x 4 = 4
How many solutions does the inequality x > 12 have? Explain.
Answer:
Infinite solutions
Step-by-step explanation:
Suppose there are finite solutions to x > 12
Then there exists a largest solution, which we call X
But X + 1 > X, and X > 12, so by transitivity X + 1 > 12 and thus is an even larger solution
this means X is not the largest solution
Therefore, by contradiction, the assumption that there are only finite solutions is false
charity is four times as old as her daughter. she is also six years younger than her husband. The sum of their ages ten years to come will be 117 years. How old is Charity today?
Answer:
36years
Step-by-step explanation:
Let charity present age be x
Charity daughter present age be y
Charity husband present age be z
If the sum of their ages ten years to come is 117, then;
10+x+10+y+10+z = 117
30+x+y+z = 117
x+y+z = 87 ... 1
If charity is four times as old as her daughter, then;
x = 4y
y = x/4 ... 2
If she is also six years younger than her husband, then;
x = z- 6
z = x+6 .. 3
Substitute 2 and 3 into 1;
x + x/4 + (x+6) = 87
Multiply through by 4
4x + x + 4(x+6) = 4(87)
5x+4x+24 = 348
9x = 348 - 24
9x = 324
x = 324/9
x = 36
hence Charity is 36years old today
solve the equation
[tex]25 - 3x = 40[/tex]
Someone please help me !!!!!what is the answer???
Answer:3
Step-by-step explanation:
Find the value of X in the equation below.
10X = 12
Step-by-step explanation:
10x=12
x=12/10=6/5
The circumference of the moon is about 6,786 miles. What is the diameter of the moon rounded to the nearest mile?
Answer:
πd=6786 miles
3.14×d=6786
d=6786/3.14
d=2161.146 miles approximately
Suppose the probability of a false positive result on a mammogram is 4%. Suppose that the probability of a false negative result on a mammogram is 2%. Assume that the probability that a randomly chosen woman has breast cancer is 0.0002. If a woman has a positive test result, what is the probability that she actually has breast cancer
Answer:
0.0049 = 0.49% probability that she actually has breast cancer
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Positive test result
Event B: Breast cancer
Probability of a positive test result:
4% of (1 - 0.0002)
98% of 0.0002
So
[tex]P(A) = 0.04*(1 - 0.0002) + 0.98*0.0002 = 0.040188[/tex]
Having breast cancer and testing positive.
98% of 0.0002
So
[tex]P(A \cap B) = 0.98*0.0002 = 0.000196[/tex]
What is the probability that she actually has breast cancer?
[tex]P(B|A) = \frac{0.000196}{0.040188} = 0.0049[/tex]
0.0049 = 0.49% probability that she actually has breast cancer
divide. what is the answer too 46/532
Answer:
0.08646617
Step-by-step explanation:
Please answer quickly
Answer:
B
Step-by-step explanation:
1. Combine exponents
9^4 * 9^8 = 9^12