ANSWER
The third side of the triangle is 22.361 km
STEP-BY-STEP EXPLANATION:
Given information
The image given is a right-angled triangle
The perpendicular side = 10km
The adjacent side = 20km
To find the third side of the triangle, we will need to apply Pythagora's theorem
\(\text{Hypotenuse}^2=opposite^2+adjacent^2\)Let the hypotenuse be x
\(\begin{gathered} x^2=10^2+20^2 \\ x^2\text{ = 100+ 400} \\ x^2\text{ = 500} \\ \text{Take the sqyare roots of both sides} \\ x\text{ = }\sqrt[]{500} \\ x\text{ = 22.361 }km \end{gathered}\)Therefore, the third side of the triangle is 22.361 km
Can someone please help, picture is above ^ Thanks.
Which of the following would be an algebraic expression for the following phrase?
The sum of 12 and the product of -8 and n
12 + 8 n
-8 n + 12
-8 n - 12
None of the above.
please help.
Answer: -8n + 12
Step-by-step explanation: Well we know the word "sum" is a keyword that tells us to use addition so right off the bat, we can eliminate any options that have a subtraction sign.
"The sum of 12 and the product of -8 and n" means
we are multiplying -8 by n since "product" means multiplication.
Then we just have to add 12 to that.
So we get -8n + 12
Part of the graph of the function f(x) = (x – 1)(x + 7) is shown below.
Which statements about the function are true? Select three options.
The vertex of the function is at (–4,–15).
The vertex of the function is at (–3,–16).
The graph is increasing on the interval x > –3.
The graph is positive only on the intervals where x < –7 and where
x > 1.
The graph is negative on the interval x < –4.
Answer:
The vertex of the function is at (–3,–16)
The graph is increasing on the interval x > –3
The graph is positive only on the intervals where x < –7 and where
x > 1.
Step-by-step explanation:
The graph of \(f(x)=(x-1)(x+7)\) has clear zeroes at \(x=1\) and \(x=-7\), showing that \(f(x) > 0\) when \(x < -7\) and \(x > 1\). To determine where the vertex is, we can complete the square:
\(f(x)=(x-1)(x+7)\\y=x^2+6x-7\\y+16=x^2+6x-7+16\\y+16=x^2+6x+9\\y+16=(x+3)^2\\y=(x+3)^2-16\)
So, we can see the vertex is (-3,-16), meaning that where \(x > -3\), the function will be increasing on that interval
Information
500 customers contacted a company today.
Phone
250 Customers
Webchat
4x Social Media
Email
III)
50% of Phone
Social Media
Question
Adjust the pie chart to represent the source of customer contacts.
G
Pie graphs can be used to display percentages of an entire group and depict percentages at a certain moment. Customers contacted via the web = x(let) then.as a result, customers contacted online (chart = x = 100), 25 customers were reached by social media, or x/4
What purpose does a pie chart serve?Pie charts can be used to show percentages for the whole group or for a specific time period.
In contrast to bar and line graphs, pie charts do not show changes over time.
The following pages provide descriptions of the various pie chart elements.
Since the slices of a pie chart represent different parts of the whole, their sum must always equal 100%.
Number of customers overall = 250 clients were contacted via email for every 500 customers contacted via phone, or 50% of phone contacts.
=(50÷100)×250
=125
Customers reached via social media
= total customers + 250 + 125 + x+1 = 500 x+1
=125 × 5
T=125
x=100.
Customers contacted via the web = x(let) then.
as a result, customers contacted online (chart = x = 100)
25 customers were reached by social media, or x/4
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What is the volume of this pyramid?
Enter your answer in the box.
Answer:
9576
Step-by-step explanation:
Area of the triangle × height
(1/2×28×19)×36
Which of the following correctly shows the quotient of 80 divided by 5?
Answer:
option 3
Step-by-step explanation:
\(\frac{80}{5}=16\)
Answer:
number 3
is the correct one out of the 4
Find the volume of the solid.
Answer:
64cm³
Step-by-step explanation:
( 4 x 4 x 4) cm x cm x cm
Samantha went to the store to buy cereal, milk and bread. The cereal cost $3.68. The milk cost $3.53 and the bread cost $2.14. If Samantha gave the clerk $10.00, how much change did she receive?
Answer:
$0.65
Step-by-step explanation:
The cereal ($3.68) + the milk ($3.53) + the bread ($2.14) costs a total of $9.35. If Samantha gave the clerk $10.00, she'd receive 65 cents back.
$10.00 - ($3.68 + $3.53 + $2.14) = $0.65
se vendieron 144 boletos. 2 pesos por adulto y un peso por niño, si se gastaron 207 pesos cuantos boletos de adulto se vendieron y cuantos boletos de niño?
Answer:
Se vendieron 81 boletos de niños y 63 boletos de adultos.
Step-by-step explanation:
La cantidad de boletos vendidos es igual a:
\( 144 = a + n \) (1)
En donde a es por adultos y n por niños
A su vez, el dinero gastado equivale:
\( 207 = 2*a + 1*n \) (2)
Resolviendo la ecuación (1) para a:
\( a = 144 - n \) (3)
Introduciendo (3) en la ecuación (2) tenemos:
\(207 = 2*(144 - n) + n\)
\( n = 81 \)
Ahora podemos calcular el numero de boletos de adultos vendidos introduciendo n en la ecuación (3):
\( a = 144 - n = 144 - 81 = 63 \)
Entonces, se vendieron 81 boletos de niños y 63 boletos de adultos.
Espero que te sea de utilidad!
What is a doubles fact for 7 8?
With "near doubles facts" or "doubles facts plus one," the actual magic happens. When we observe 7+8, we know that 8 is one more than 7, since we already know that 7+7=14. Thus, 15 is one greater than 14. So, 15 is the answer.
We can also consider the fact that it is one less than the doubles. We are aware that 7 + 7 = 14. I then realise that 6 is one less than 7 when I see 7 plus 6. 14 minus one equals 13, thus.
Thus, our knowledge of ten items with doubles increased to approximately 33 information with near doubles! Therefore, it's a really effective tactic!
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Solve the following inequality for m. Write your answer in simplest form. - 7 + 5(9m – 7) < 9m - 2 - 9 m < - 2 Submit Answer atte
Answer:
m < \(\frac{36}{31}\)
Rearrange:
Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :
-7+5*(9*m-7)-(9*m-2-9)<0
Step by step solution :
STEP 1
:
Equation at the end of step 1
(-7 + 5 • (9m - 7)) - (9m - 11) < 0
STEP 2
:
Equation at the end of step 2
36m - 31 < 0
STEP 3:
3.1 Divide both sides by 36
m-(31/36) < 0
Solve Basic Inequality :
3.2 Add 31/36 to both sides
m < \(\frac{31}{36}\)
I buy 8640 in3 of stuffing for a crafts project, but the instructions are in ft3. How many ft3 of fabric do I have?
We need to convert 8640 in³ into ft³.
1 in³ is equal to 0.0005787037 cubic feet.
Hence, we can convert it using the rule of three:
Then:
1 in³----------- 0.0005787037ft³
8640 in³ ----------- x
where x= (8640in³*0.0005787037 ft³)1 in³
x = 5ft³
Hence, you have 5ft³ of fabric.
150-(2+x)^3 when x equals 2
Answer:
86
Step-by-step explanation:
150 - (2 + x)³
=> 150 - (2 + 2)³
=> 150 - (4)³
=> 150 - 64
=> 86
Therefore, 86 is the correct answer.
Hey!
Let's work through this problem together.
1st and most important step is that we use order of operations as we go left to right.
P.E.M.D.A.S: Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction.
First, The parenthesis, which is (2+x), or (2+2), which is 4.
So now, the equation looks like: 150-4^3.
Next, Exponents. 4^3 is 4x4x4. 4x4=16. 16x4=64.
So now the equation looks like this: 150-64.
Lastly, we subtract. 150-64=86.
So, your answer is 86.Hope this helps!
~~~PicklePoppers~~~if a straight angle is bisected the resulting angles are what kind of angles?
If a straight angle is bisected, the resulting angles are 90° and 90°.
What are angle bisectors?Angle bisectors are lines that cut across the angle under consideration. The term "bisect" means to divide into two equal portions. The considered angle is therefore divided in half by the bisected halves.
We have the expression,
a straight angle is bisected.
A straight angle in geometry is one that is 180 degrees in length. It looks like a straight line, which is why it is known as a straight angle.
A straight line may be thought of as a straight angle with two endpoints.
And straight angle has a value of 180°.
When it is bisected,
a straight angle has a bisector that divides it into two equal angles.
It forms 2 angles,
180°/ 2
= 90°
Therefore, resulting angles are 90° and 90°.
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how many significant figures ?
0.002300
Answer:
4
Step-by-step explanation:
Trailing zeros in a number with a decimal point are always considered to be significant. Leading zeros are not significant.
The significant digits are in bold. There are 4 of them.
0.002300
which parent functions have a y-intercept at (0,0)? select all that apply
Answer: A,E or F.
Step-by-step explanation: That's the only ones that have X's and then x is 0
12. The point M(-6, -4) is translated 2 units right. What are the coordinates of the resulting point, M'?
(-4,0)
(2,-4)
(-4,-2)
(-4,-4)
Answer:
(-4,-2)
Step-by-step explanation:
Answer: (-4,-4)
Step-by-step explanation: the y- coordinate stays the same you would have to move the x-coordinate only which would give you -4. Because you are adding 2 to -6.
Mary works as a gardener. on her last job she charged $60 for plants and $500 for 20 hoursof work. The equations represent the total price y, charged by different gardeners after x hours of work.
Answer:
28 hours
Step-by-step explanation:
I need help pleaseeeeeeeeeeeeeeeeeeee
Answer:
Step-by-step explanation: [-2.19] = -3
[3.67] = 3
[-0.83] = -1
The domain of this function is a group of real numbers that are divided into intervals such as [-5, 3), [-4, 2), [-3, 1), [-2, 0) and so on. This explains the domain and range relations of a step function.
This can be generalized as given below:
[x] = -2, -2 ≤ x < -1
[x] = -1, -1 ≤ x < 0
[x] = 0, 0 ≤ x < 1
[x] = 1, 1 ≤ x < 2
Answer:
y = - \(\frac{3}{2}\) x
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (- 2, 3) and (x₂, y₂ ) = (0, 0) ← 2 points on the line
m = \(\frac{0-3}{0-(-2)}\) = \(\frac{-3}{0+2}\) = - \(\frac{3}{2}\) , then
y = - \(\frac{3}{2}\) x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (0, 0 )
0 = - \(\frac{3}{2}\) (0) + c = 0 + c , so
c = 0
y = - \(\frac{3}{2}\) x + 0 , that is
y = - \(\frac{3}{2}\) x
X follows Poisson distribution. This distribution was randomly sampled 40 times. The sum of these 40 numbers follows
a) Poisson distribution
b) Exponential distribution
c) Weibull distribution
d) Normal distribution
The sum of these 40 sampled numbers follows option D: normal distribution, if X follows Poisson distribution.
The likelihood that a certain number of events will occur in a specific period of time or space, provided that they do so with a known constant mean rate and the Poisson distribution describes the distribution of events, regardless of the time since the previous event. When the mean is high, the sum of the Poisson distribution resembles a normal distribution.
The "normal distribution," a continuous probability distribution that is symmetrical at the mean and has a bell-shaped curve. It is also known as the bell curve or the Gaussian distribution. Several natural phenomena, including height, weight, blood pressure, and others, have a normal distribution.
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This is a lengthy math problem. Help please! Thank you
Step-by-step explanation:
look at the attached and just plot the data. S on the x-axis and s(x) on the y-axis.
Martin spent $68 on a new drone that he had been saving for. Now, he has $41 left in his savings jar. Click the equation that could be used to find the total of his savings, s, before he bought the drone.
Answer:
Step-by-step explanation:
109
In the town of Centralburg (Figure 1), which is laid out in a uniform block grid, the grocery store is three blocks East and four blocks North of the post office. Which of the following is a correct equation for the quantities represented in this scenario?
Answer:
tan(θ)= dn/de
θ=arctan(dn/de)
Step-by-step explanation:
Greg has 4 shirts: a white one, a black one, a red one, and a blue one. He also has two pairs of pants, one blue and one tan. What is the probability, if Greg gets dressed in the dark, that he winds up wearing the white shirt and tan pants? Show your work. (10 points)
MARKING BRINLIEST AND GIVING A LOT OF POINTS PLSSSS HELP
The probability, if Greg gets dressed in the dark, that he winds up wearing the white shirt and tan pants is 0.125 or 12.5%.
To find the probability that Greg winds up wearing the white shirt and tan pants while getting dressed in the dark, we need to find out all the possible outfit options. According to the question given, first we nned to find out number of outfit combinations possible.
Total number of Outfit Combinations:
There are 4 shirts: a white one, a black one, a red one, and a blue one and also two pairs of pants, one blue and one tan. So, total number of possible outfit combinations would be 4 * 2 = 8.
No of favourable options:
As given in the question, Greg wears white shirt and tan pants. There is only one white shirt and one tan pant. So, number of favourable options would be only 1 .
Probability = Number of favourable outcomes/Total no. of combinations
Probability = 1/8
Probability = 0.125 or 12.5%
Therefore, the probability, if Greg gets dressed in the dark, that he winds up wearing the white shirt and tan pants is 0.125 or 12.5%.
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PLEASE I NEED HELP the question is,
In the diagram of triangle LAC and triangle DNC below, LA = DN, CA = CN, and DAC is perpendicular to LCN.
a) Prove that triangle LAC = triangle DNC.
b) Describe a sequence of rigid motions that will map triangle LAC onto triangle DNC.
Answer:
1244 DCD
Step-by-step explanation:
I sold 6 coats for 60$ each. my commission is 20%, how much did I make
Answer:
the answer should be s 160
Simplify 9 + (-2)³
answer asap
Answer:
\(9+(-2)^{3} =9+[(-2)(-2)(-2)]=9+[4(-2)]=9+(-8)=9-8=1\)
\(Hello\) \(There!\)
\(AnimeVines\) \(is\) \(here!\)
This is quite simple, actually.
Here's a explanation.
\(9 + (-2)^{3}\)
\(= 9 + - 8\)
\(= 1\)
\(HopeThisHelps!!\)
\(AnimeVines\)
the wall street journal corporate perceptions study surveys readers and asks how each rats the quality of management and the reputation of the company for over worldwide corporations. both the quality of management and the reputation of the company were rated on an excellent, good, and fair categorical scale. assume the sample data for respondents below applies to this study.
The wall street journal corporate perceptions study surveys readers and asks how each rats the quality of management and the reputation of the company for over worldwide corporations. both the quality of management and the reputation of the company were rated on an excellent, good, and fair categorical scale.
7 captcha tests.
P (robot) = 0.10, P (human) = 0
P (human succeed in single test) =0.95
\($$\therefore $$\) P (human clear all test) = \((0.95)^{7}\)= 0.6893
P (robot succeed in single test) =0.3
\($$\begin{aligned}\therefore \end{aligned}$$\) P (rob bot clear all test) =\(0.3^{7}\)
=0.0002187
(a) visitor's robot.
P (robot will flagged) =1-0.0002187
=0.99978
(b) visitor is human
P (human will Flagged) =1-0.6983
=0.3017
(c) P (robot flagged) \(& =\frac{P(\text { robotget } F \text { aged })}{P(\text { Flagged })} \\\)
\(& =\frac{0.99978 \times 0.10}{0.99978 \times 0.10+0.3017 \times 0.90}=0.2691\end{aligned}\end{aligned}$$\)
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Kayla squared a number x and added this result to − 6 . 5 . This gave her an answer of 42 . 5 . What is the equation and one of the solutions to this equation?
Answer:
X2 +(-6.5) = 42.5
x = 7 or -7
Step-by-step explanation:
x2 + (-6.5) = 42.5
x2 = 49
x = 7 or -7
I need help with this problem. Please explain
Answer:
it should be c. y = 5.0
Step-by-step explanation:
use the line of best fit to see at what point on the line that x = 7.