Answer:
Use the law of cosines: a = 30, b = 48, c = distance dog runs
a^2 + b^2 - 2 a b cos theta = c^2
900 + 2304 - 2650 = c^2 = 554 c = 23.5 ft
2/3 Marks
67 / 138 Marks
If a = -3, find the value of
a) 2a
b) a ^2
c) 3a^2
Answer:
- 6, 9 and 27
Step-by-step explanation:
Substitute a = - 3 into the expressions and evaluate
(a)
2a = 2(- 3) = - 6
(b)
a² = (- 3)² = 9
(c)
3a² = 3(- 3)² = 3(9) = 27
find the value of x in each case
Step-by-step explanation:
180-(90° +32°)
180- 122= 58
triangle =180°
180° - (58° +58°)
180° - 116°= 64°
Answer:
x=64
Step-by-step explanation:
∠A = 180-(90°+32°)
=> ∠A=180-122= 58
Angle sum property in Triangle=180°
=> x = 180° - (58°+58°)
=> x = 180° - 116°= 64°
April divided 6,922 by 344. Her work is shown below.
Which answer choice correctly identifies the error April made when dividing
A. She made an error when subtracting.
B. She made an error when multiplying.
C. She forgot to place a zero in the quotient.
D. She did not make any errors.
Answer:
answer is subtract i am on the test right now!
A main purpose of doing an experiment over an observational study is to learn whether a certain _____ causes a certain response.
Answer:
condition
Step-by-step explanation:
An experiment can be defined as an investigation which typically involves the process of manipulating an independent variable (the cause) in order to be able to determine or measure the dependent variable (the effect).
This ultimately implies that, an experiment can be used by scientists to show or demonstrate how a condition causes or gives rise to another i.e cause and effect, influence, behavior, etc in a sample.
On the other hand, an observational study can be defined as a type of study in which a researcher observes and measures the effect of a diagnostic test, risk factors, or treatments on individuals without intervening, changing or manipulating who are or aren't exposed to it (controlled conditions).
Hence, the main purpose of doing an experiment over an observational study is to learn whether a certain condition causes a certain response.
Cause and effect can be defined as the relationship between two things or events in which an occurrence of one (cause) leads to the occurrence of another (effect).
Calculate the value of y in the equation y = 5x - 3 given that x = 2?
Answer:
7
Step-by-step explanation:
Substitute x = 2 into the equation and evaluate
y = 5(2) - 3 = 10 - 3 = 7
Answer:
[tex]{ \tt{y = 5x - 3}} \\ y = (5 \times 2) - 3 \\ y = 7[/tex]
The following system of equations represents the total distance a flight from point A to point B flies based on its initial, I, and return, R, journey speeds, as well as the total time in the air for the round trip. Determine the amount of time each leg of the journey takes.
120I+200R=2000
I+R=15
10 hours, 5 hours
12 hours, 20 hours
12.5 hours, 2.5 hours
No Solution
Answer:
ewan ask mo kay ma'am para alam mo po
Determine if the two functions are similar by using transformations. Explain your reasoning.
I'm so confused please please please help and explain thoroughly.
Answer:
No
Step-by-step explanation:
One is used as an enlargement of the object drawn. The image formed can either be smaller or bigger.
In a scale model of a table, 1 centimeter represents 8 inches.
C
Scale
1 cm: 8 in
Answer the following.
?
(a) The height of the real table is 48 inches. What is the
height of the table in the scale model?
[centimeters
(b) In the scale model, the length of the table is 9
centimeters. What is the length of the real table?
inches
Answer:
(a): 6 centimeters
(b): 72 inches
Step-by-step explanation:
Rule: From centimeters to inches, multiply centimeters × 8
so from inches to centimeters, divide inches by 8
Scale:
1 cm : 8 in
? cm : 48 in
6 cm : 48 in
Scale:
? in : 9 cm
72 in : 9 cm
At what rate of simple interest a certain sum will be doubled in 15 years?
Answer:
6.66 % per year.
Step-by-step explanation:
Hope it help you
Answer:
66 percent per year
Step-by-step explanation:
I hope this will help you
pls add me as brainliest.
For the given triangle find the exact value for sin(A). Assume angle C is a right angle.
Answer:
53.13 degrees
Step-by-step explanation:
In order to use sin we have to use the opposite side over the hypotenuse.
[tex]\frac{4}{5}[/tex] in this case
sin(A) = [tex]\frac{4}{5}[/tex]
[tex]A = sin^{-1} \frac{4}{5}[/tex]
Plugging this into the calculator you get about 53.13 degrees
Consider the quadratic function:
f(x) = x2 – 8x – 9
Vertex: (StartFraction negative b Over 2 a EndFraction, f (StartFraction negative b Over 2 a))
Answer:
x=-b/2a=8/2=4
y=16-8*4-9=16-32-9= - 25
(4, - 25) ,,
cross out 3 digits in the number 51489704 so that the number remaining is divisible by 45
Answer:
1,152
Step-by-step explanation:
So here, we shall be removing random numbers
For ease, since the number is divisible by 45: it is advisable to end the selected number with zero
So we have it that;
we are crossing the first 4, 9 and 7
So, we are left with;
51,840
dividing this by 45 will give 1,152
what is the y-intercept?
Answer:
(0, 9)
Step-by-step explanation:
The y-intercept is the point when x = 0. By looking at the graph, when x = 0, y = 9. Therefore, the y-intercept of the line is (0, 9).
What’s the answer 3y+5<10
Answer:
y < 5/3
Step-by-step explanation:
3y + 5 < 10
Let's subtract 5.
3y < 5
Okay. We have something manageable. Let's divide by 3.
y < 5/3
That's our answer.
[tex]\frac{\frac{1}{a+1} }{a-\frac{1}{{a+\frac{1}{a}}{} } }[/tex] someone help please
Hello,
[tex]a\neq 0\\\\\dfrac{\dfrac{1}{a+1} }{a-\dfrac{1}{a+\dfrac{1}{a} }} \\\\\\=\dfrac{\dfrac{1}{a+1}}{\dfrac{a(a^2+1)+a} {a^2+1} }\\\\\\=\dfrac{a^2+1}{a(a+1)(a+2)}[/tex]
Someone pls help me ill give out brainliest pls don’t answer if you don’t know
Type the correct answer in each box. Use numerals instead of words
Answer:
a) 1.73
b)1.32
Step-by-step explanation:
y = f(x) = 3^x
f(1/2) = 3^1/2 = √(3) = 1.73
f(1/4) = 3^1/4 = 1/4√3 = 1.32
Please help me with this one.. it's due today!!!
Answer:
75 in^2
Step-by-step explanation:
The surface area is the sum of the areas
Area of the square:
A = s^2 = 5^2 =25
Area of one triangle
A = 1/2 bh = 1/2 (5)(5) = 25/2
There are 4 triangles
4* (26)/2 = 50
The sum is 25+50 = 75
Hi!
[tex]P_{\square}=5^2=25 \ in.^2\\\\P_{\triangle}=\frac{1}{2}\cdot5\cdot5=\frac{1}{2}\cdot25=12,5 \ in.^2\\\\P_c=25+4\cdot12,5=25+50=\boxed{75 \ in.^2}[/tex]
What is the negation of 5
Answer:
-5
Step-by-step explanation:
Answer:
the correct answer is its -5
prime factor of 8 and prime factor of 12
Answer:
2
Step-by-step explanation:
a prime factor is a factor that is a prime number
a prime number is a number that will have a fraction in the quotient if it's divided by any number other than itself
2 is the only prime factor shared between 8 and 12
Helpppppppppp ASAP pls and thankyouu
Answer:
1. The graph of the inequality, y > -3·x - 2, created with MS Excel is attached showing the following characteristics;
Linear
Shade is above the line
2. The graph of the inequality, y ≤ │x│ - 3, created with MS Excel is attached showing the following characteristics
Linear
Shade is below the line
3. The graph of the inequality, y < x² - 4, created with MS Excel s attached showing the following characteristics;
Quadratic
Shade below the line
Step-by-step explanation:
this is boring
this is hard
i hate stuff that relates to pie
its anouyuibng
ask a question. will try to help and make it
[tex]easy \: as \: \pi[/tex]
What is the slope of the line shown in the graph?
A coordinate plane is shown. Points are graphed at −3 comma 2 and −1 comma −1. The points are connected by a line.
−3 over 2
−1 over 2
3 over 2
Undefined
In a class of 22 students, 7 are female and 17 have an A in the class. There are 3 students who are male and do not have an A in the class. What is the probability that a student who has an Ais a male?
Answer:
Step-by-step explanation:
total number of students=22
number of female students=7
number of male students=22-7=15
number of male students not having A=3
Number of male students having A=15-3=12
P(male student having A)=12/22=6/11
The probability that a student who has an A is male is approximately 0.632
What is probability?We can use the formula for conditional probability:
P(Male | A) = P(Male and A) / P(A)
We are given that there are 3 male students who do not have an A, so there are 22 - 3 = 19 students who have an A. Of these 19, we do not know how many are male. However, we do know that there are 7 female students, so the number of male students who have an A is:
19 - 7 = 12
Therefore, the probability that a student who has an A is male is:
P(Male | A) = 12 / 19
We can simplify this fraction by dividing the numerator and denominator by their greatest common factor (which is 1 in this case):
P(Male | A) = 12 / 19
So the probability that a student who has an A is male is approximately 0.632.
To know more about probability follow
https://brainly.com/question/16202956
#SPJ2
The line CD is defined by the points C(-2,1) and D(10,7).
Find the equation of the line CD.
Answer:
The equation of the line is; y = 0.5·x + 2
Step-by-step explanation:
The points that define the line CD = C(-2, 1) and D(10, 7)
The equation of the line can be presented in the form of the general equation of a straight line, y = m·x + c
Where;
m = The slope of the line = [tex]\dfrac{7 - 1}{10 - (-2)} = \dfrac{1}{2} = 0.5[/tex]
c = The y-intercept
From the obtained slope, m = 0.5, using point D(10, 7), the equation of the line in point and slope form is therefore;
y - 7 = 0.5·(x - 10)
From the above equation of the line in point and slope form, we get the general form of the equation of the line as follows
y - 7 = 0.5·(x - 10) = 0.5·x - 5
y - 7 = 0.5·x - 5
y = 0.5·x - 5 + 7 = 0.5·x + 2
y = 0.5·x + 2
The equation of the straight line in general is y = 0.5·x + 2.
A and B are two similar solids...
Answer:
cant download send ss
Step-by-step explanation:
Please help me solve this problem
Answer:
V = wlh
Step-by-step explanation:
Given
w = [tex]\frac{V}{lh}[/tex] ( multiply both sides by lh to clear the fraction )
wlh = V
The probability that Caroline wins a raffle is given by the expression
m/n.
Write down an expression, in the form of a combined single fraction, for the probability that Caroline does not win.
Answer: [tex]\frac{n-m}{n}[/tex]
This is the same as writing (n-m)/n
Don't forget about the parenthesis if you go with the second option.
==================================================
Explanation:
The probability that she wins is m/n, where m,n are placeholders for positive whole numbers.
For instance, m = 2 and n = 5 leads to m/n = 2/5. This would mean that out of n = 5 chances, she wins m = 2 times.
The probability of her not winning is 1 - (m/n). We subtract the probability of winning from 1 to get the probability of losing.
We could leave the answer like this, but your teacher says that the answer must be "in the form of a combined single fraction".
Doing a bit of algebra would have these steps
[tex]1 - \frac{m}{n}\\\\\frac{n}{n} - \frac{m}{n}\\\\\frac{n-m}{n}\\\\[/tex]
and now the expression is one single fraction.
Find ∠MPN
Help me please
Answer:
[tex]22^{\circ}[/tex]
Step-by-step explanation:
Line [tex]\overline{PM}[/tex] is a diameter of the circle because it passes through the circle's center O. Therefore, arc [tex]\widehat{PLM}[/tex] must be 180 degrees, as these are 360 degree in a circle.
We can then find the measure of arc [tex]\widehat{LM}[/tex]:
[tex]\widehat{LP}+\widehat{LM}=180^{\circ},\\92^{\circ}+\widehat{LM}=180^{\circ},\\\widehat{LM}=88^{\circ}[/tex]
Arc [tex]\widehat{LM}[/tex] is formed by angle [tex]\angle LPM[/tex]. Define an inscribed angle by an angle with a point on the circle creating an arc on the circumference of the circle. The measure of an inscribed angle is exactly half of the measure of the arc it forms.
Therefore, the measure of [tex]\angle LPM[/tex] must be:
[tex]m\angle LPM=\frac{88}{2}=44^{\circ}[/tex]
Similarly, the measure of [tex]\angle LNP[/tex] must be:
[tex]m\angle LNP=\frac{92}{2}=46^{\circ}[/tex]
Angles [tex]\angle LPM[/tex] and [tex]\angle MPN[/tex] form angle [tex]\angle LPN[/tex], which is one of the three angles in [tex]\triangle LPN[/tex]. Since the sum of the interior angles of a triangle add up to 180 degrees, we have:
[tex](\angle MPN+\angle LPM)+\angl+ PLN+\angle LNP=180^{\circ},\\\angle MPN+44+46+68=180,\\\angle MPN=180-44-46-68,\\\angle MPN=\boxed{22^{\circ}}[/tex]
Can someone help with this- ppl r making excuses that they “can’t see the picture” and I’m pretty sure everyone knows that they can see the picture but they just want points, So if you proceed to do this I will report you. Thank you and pls help with this, it’s due today according to my teacher, thanks again! have a great day.
Answer:
he is correct
Step-by-step explanation:
to have 2 liters means it has to have 2000 milliliters of solution
(1000milliliters = 1 liter)
2 beaker * 350+2 beaker * 400 + 1 beaker* 500 =
700+800+500=2000 milliliters
