Answers
Answer:
Step-by-step explanation:
take angle A as reference angle
using cos rule
cos A = adjacent/hypotenuse
cos A =10/15
cos A =0.66
[tex]A=cos^{-1} (0.6666)[/tex]
A=48.194
A=48.2
angle A + angle B + angle C =180 degree (being sum of interior angles of a triangle)
48.2 + angle B + 90 =180
138.2 + angle B =180
angle B =180-138.7
angle B =41.8
for BC
using pythagoras theorem
a^2 + b^2 = c^2
AC^2 + BC^2 = AB^2
10^2 + BC^2 = 15^2
100 + BC^2 = 225
BC^2 = 225-100
BC^2 = 125
[tex]BC=\sqrt{125}[/tex]
BC=5[tex]\sqrt{5}[/tex]
BC=11.2
Related Questions
Sally's parents deposited $15,000 into a college savings account on her third birthday. The account had an interest rate of 9.6% compounded annually. They were hoping that the money would double twice by the time she was 18 years old. Using the rule of 72, t = StartFraction 72 Over r EndFraction will their hopes come true?
Answers
Answer:
their hopes will come true
Step-by-step explanation:
Using the formula for calculating amount expressed as;
A = P(1+r)^t
Given
P = $15000
r = 9.6% = 0.096
t = 15years (18-3)
Substitute;
A = 15,000(1+0.096)^15
A = 15,000(1.096)^15
A = 15000(3.9551)
A = 59,326.6
As we can see, the money is even more than twice the original amount, this shows that their hopes will come true
Answer:
a. Yes, the $15,000 will double each 7.5 years. In 15 years, it will double twice.
The sales tax in a city in Chicago was 5.5%. Ms.M spent $60 on presents for
family members. What was Ms.M's total including sales tax?
Answers
Answer:
$63.30
Step-by-step explanation:
Assuming the $60 is excluding taxes:
60 * 1.055 = $63.30
If the suspect is found guilty, then he will go to prison.
Which of the following is a logically equivalent statement to the conditional statement above?
If the suspect does not go to prison, then he was not found guilty.
If the suspect goes to prison, then he was found guilty.
If the suspect is not found guilty, then he will not go to prison.
If the suspect is not found guilty, then he will go to prison.
Answers
Answer:
If the suspect goes to prison, then he was found guilty.
Step-by-step explanation:
Means the same thing. If you guilty, you get the jail time. Same thing as before. The only other one it could be is the first one. But you could argue that one.
SheeeeeeeshI MISS THE RAGE⁉️I MISS THE RAGE⁉️I MISS THE RAGE⁉️I MISS THE RAGE⁉️I MISS THE RAGE⁉️I MISS THE RAGE⁉️I MISS THE RAGE⁉️I MISS THE RAGE⁉️I MISS THE RI MISS THE RAGE⁉️I MISS THE RAGE⁉️I MISS THE RAGE⁉️I MISS THE RAGE⁉️I MISS THE RAGE⁉️I MISS THE RAGE⁉️I MISS THE RAGE⁉️I MISS THE RAGE⁉️I MISS THE R
Answers
Answer:
miss rages is the best way of doing that and it will take a few months for a kid
Answer:
the answer is 20
32/8=h/5
cross multiply and boom!
I hope this help sry if it doesnt!
Step-by-step explanation:
WILL GIVE BRANLIEST! pls help thank u sm!! :-) u are all amazing
Answers
Answer:
B
Step-by-step explanation:
Given a system of equations graphically, then the solution is at the point of intersection of the 2 equations.
As can be seen from the graph there is only 1 point of intersection, thus only one solution,
Which is the standard form of the equation of the parabola that has a vertex of (-4,-3) and a directrix of x = 2?
o (x+3)² = 24(y+4)
o (y+3)^2= 24(x-4)
o (y+3)^2 =-24(x+4)
o (x+3)^2 =-24(y+4)
Answers
Answer:
C.
Step-by-step explanation:
i took the test
The standard form of the equation of the parabola that has a vertex of (-4,-3) and a directrix of x = 2 is (x+3)² = -24(y+4), the correct option is D.
What is vertex form of a quadratic equation?If a quadratic equation is written in the form
y=a(x-h)^2 + k
then it is called to be in vertex form. It is called so because when you plot this equation's graph, you will see vertex point(peak point) is on (h,k)
First of all, i used this vertex formula thing since it is visible that there are quadratic functions. Otherwise, you had to use calculus to get critical points, then second derivative of functions to find the character of critical points as minima or maxima or saddle etc to get the location of vertex point.
This point (h,k) is called the vertex of the parabola that quadratic equation represents.
We are given that;
The vertex of parabola=(-4,-3)
Directrix of x is 2
Now,
The distance from a point (x,y) to the directrix x = 2 is the horizontal distance between the point and the line, which is |x - 2|. The distance from a point (x,y) to the focus (-4,f) is the distance between the point and the vertex plus the distance between the vertex and the focus, which is |y - (-3)| + |-4 - 2| = |y + 3| + 6.
|y + 3| + 6 = |x - 2|
To eliminate the absolute value, we can square both sides of the equation:
(y + 3)² + 12(y + 3) + 36 = (x - 2)²
(x - 2)² = (y + 3)² + 12(y + 3) + 36
x² - 4x + 4 = y² + 6y + 9 + 12y + 36
x² - 4x = y² + 18y + 45
x² - 4x + 4 = y² + 18y + 49
(x - 2)² = (y + 9)²
This is the standard form of the equation of the parabola, which has a vertex of (-4,-3) and a directrix of x = 2. Comparing this equation with the standard form of the equation of a parabola, we can see that the parabola opens horizontally to the left, and its focus is the point (-6,-3).
(x-2)² = -24(y+9)
Therefore, the equation will be (x+3)² = -24(y+4).
Learn more about vertex form of a quadratic equation here:
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Oliver wants to buy a new TV. The price was $985. When he goes to the store a
second time, he found that price was marked down by 35%. What is the new
price of the TV?
Answers
Answer:
$640.25
Step-by-step explanation:
Answer:
$640.25
Step-by-step explanation:
Please help me with 4 I’d really appreciate it
Answers
Step-by-step explanation:
4a) The pressure of a basketball can have a large tolerance.
b) Writing an exam has a very low tolerance in terms of time allotment.
c) The amount of milk in a carton has a low tolerance.
please help me solve this !
Answers
Answer:
12.826 i think
Step-by-step explanation:
mitchell has two rectangular prisms. prism B has a height that is twice the height of a prism A. The length and width of prism B are the same as the length and width of Prism A. The volume of prism B is
Answers
Answer:
b I think it' hope I helped
A: x=59
B: x=73
C: x=87
D: x=93
Answers
Answer:
A x=59 is yr correct answer
hope it helps
stay safe healthy and happy...Answer:
[tex]x = 59[/tex]
Step-by-step explanation:
[tex](x + 17) = 76[/tex]
[tex]x = 76 - 17[/tex]
[tex]x = 59[/tex]
Hope it is helpful...inductive reasoning or deductive reasoning:
• 17 and 5 are prime numbers, so all odd numbers are prime numbers
Answers
Answer:
no
Step-by-step explanation:
Example:
9 is an odd number, but 9 can be divided by 3, so 9 is not a prime number.49 is an odd number, but 49 can be divided by 7, so 49 is not a prime number.Help answer correctly please !!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer: 23.4 ft^3
Step-by-step explanation: The perimeter of the base is 10.7, it is a square so the 4 sides of the base are equal. One side of the base is equal to 2.675 if the perimeter (4 sides) is equal to 10.7, so plug that and the height into the formula for the volume of a square pyramid to get 23.38, or 23.4 to the nearest tenth.
Answer:
v ≈ 34.95ft^3
Step-by-step explanation:
h = 9.8ft
A^B = 10.7ft
V=A^B
h/3 = 10.7 • 9.8/3
≈34.95333ft^3
≈34.95ft^3
PLEASE HELPP MEEE ASAPPPPP
Answers
I would need to see the drop down, but I think it's perpendicular and touching.
last week of school, please help x
question:
What type of association does the graph show between x and y?
answers:
A. Linear positive association
B. Nonlinear positive association
C. Linear negative association
D. Nonlinear negative association
Answers
Answer:
linear positive association is the answer
8 × 4 ÷ 3 + 5 2 - 8 Can Someone Answer This Algebra Question
Answers
Answer:
164/3
Step-by-step explanation:
Please helpppp HURYYYYYYY
Answers
Answer:
C
Step-by-step explanation:
find the equation of the line with a slope of 4 that goes through the following point: (6,2)
Answers
Answer:
y=4x-22
Step-by-step explanation:
28 Marks
.
Two numbers have these properties.
Both numbers are greater than 6.
Their highest common factor (HCF) is 6.
Their lowest common multiple (LCM) is 60.
Find the two numbers, writing your answers on one line in the form,
The two numbers are ... and..
Answers
Answer:
HCF×LCM=a×b
6×60=a×b
a×b=360
So the numbers are whose product is 360 and LCM is 60
These two numbers can be 6,60 or 12,30
Which values are solutions to the inequality below? Check all that apply
sqrt(x) < 13
A. 26
b. 251
C. 28561
d.170
e. 1
F. 15
Answers
Answer:
A, E, F
Step-by-step explanation:
With this question, it's mostly just trial and error.
[tex]\sqrt{26}[/tex]<13 can be converted to 5.09901951<13, which is true.
[tex]\sqrt{251}[/tex]<13 can be converted to 15.8429795<13, which is false.
[tex]\sqrt{28561}[/tex]<13 can be converted to 169<13, which is false.
[tex]\sqrt{170}[/tex]<13 can be converted to 13.0384048<13, which is false.
[tex]\sqrt{1}[/tex]<13 can be converted to 1<13, which is true.
[tex]\sqrt{15}[/tex]<13 can be converted to 3.87298335<13, which is true.
Therefore, A, E and F are true.
**This question involves using inequalities and converting surds to numbers/decimals, which you may want to practice. I'm always happy to help!
One of the heaviest rainfalls ever recorded occurred in Holt, Missouri, when 12 inches of rain fell in 40 minutes. At this rate, how much rain would fall in an hour?
Answers
PLEASE HELP ME SO I CAN MOVE ON FROM THIS TOPIC
Answers
Answer:
3rd option
Step-by-step explanation:
([tex]\frac{f}{g}[/tex] )(x)
= [tex]\frac{f(x)}{g(x)}[/tex]
= [tex]\frac{2x^2-5x-3}{2x^2+5x+2}[/tex] ← factorise numerator and denominator
= [tex]\frac{(x-3)(2x+1)}{(x+2)(2x+1)}[/tex] ← cancel (2x + 1) on numerator/ denominator
= [tex]\frac{x-3}{x+2}[/tex]
7th grade math help me pleaseeee
Answers
Answer:
0.325
Step-by-step explanation:
13 ÷ 40 = 0.325
Yo, why is your school still going on? :))))
Answer:
0.325
Step-by-step explanation:
13 out of 40 days.
13/40= 0.325
Look at points C and D on the graph:
A coordinate plane graph is shown. Point C is at negative 5 comma negative 1. Point D is at 0 comma 3. A segment connects the two points.
What is the distance (in units) between points C and D? Round your answer to the nearest hundredth. (4 points)
Answers
Answer:
I think point D is the answer.
Step-by-step explanation:
Answer:
5 units
Step-by-step explanation:
Simplify 10( to the power of 9) divided by 10( to the power of 7)
Answers
The simplified form of 10⁹/10⁷ is 100.
The given expression is,
10⁹/10⁷
Since we know that,
Exponentiation is the process of expressing huge numbers in terms of powers. That is, exponent refers to the number of times a number has been multiplied by itself.
Since we also know that,
When base of exponent is same then while dividing we subtract the power of denominator from the power of numerator,
Therefore,
we can write the given expression
10⁹/10⁷ = [tex]10^{(9-7)}[/tex]
= 10²
= 10 x 10
= 100
Hence,
10⁹/10⁷ = 100
To learn more about exponent visit
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I need geometry help please!!!
Answers
Your answer is correct .
Answer:
EF~GI
Step-by-step explanation:
I got it right on the quiz:)
HELP PLEASE THIS IS DUE IN 15 MIN
The function h defined by h(t)=(49 + 4.9t)(10 - t) models the height, in meters, of an object t seconds after it is dropped from a helicopter.
From what height is the object dropped? Explain how you know.
Answers
HELP What answer?
A: it shows a positive correlation
B:it show a negative correlation
C: it shows no correlation
D: As speed increases, cost decrease.
Answers
Answer:
I think the answer should be A
Answer:
So your answer would be A
Step-by-step explanation:
It is not B since a negative correlation, the only time it will be a negative correlation is if its going the other way or down
It is also not C since there is a correlation, (positive correlation) there would be no dots.
I dont think its D since the speed is increasing but the cost is not decreasing, this would represent a negative correlation.
So your answer would be A since the line is linear, it is mild (the points are not to close but not to far) and its positive since it is going right and up.
Hope this helped :D
16)
Which polynomial is in standard form?
A)
xy + xy2 + xy + 3
B)
xy + xy + xy + 3
C
xy5 + xy + xy2 + 3
D)
-xy² + xy - 2
Answers
Explanation:
The first term has its exponents add to 1+2 = 3
The second term has its exponents add to 1+1 = 2
The third term can be written as -2x^0y^0, and those exponents add to 0
The sums count down: 3, 2, 0
So standard form means we write the terms with the largest degree sums first, then second largest and so on.
Given f(x) = log x and g(x) = -x + 1,
which is the graph of (fºg)(x)?
Answers
Answer:
(f • g)(x) = log (-x + 1)
Step-by-step explanation:
Here is a composite function
What we simply have to do here is to make a substitution
the substitution we are going to make is that we will substitute the value of x in f(x) with the entirety of g(x)
This simply mean that we replace every x we find in f(x) with the entire equation of g(x)
we have this as;
f(g(x)) = log (-x + 1)
