Answers
Answer:
x = 144y = 60z = 156Step-by-step explanation:
Given two segment measures in a right triangle diagram, you want the values of the other measures.
Pythagorean theoremThe Pythagorean theorem can be used to find y:
BC² = BD² +CD²
65² = y² +25²
y² = 65² -25² = 3600
y = √3600 = 60
Similar trianglesThe proportionality of corresponding sides in similar triangles can be used to find the remaining measures.
short side/hypotenuse = 25/65 = 65/(25+x)
25 +x = 65²/25 = 169
x = 144
And for z, we can use ...
long side/hypotenuse = AB/AC = BD/BC
z/169 = 60/65
z = 169(12/13) = 156
The triangle measures are ...
x = 144y = 60z = 156Related Questions
You model your investment account using the formula y = 20000(1.035)x where x represents the
number of years and y represents the account balance after x years. What is the growth rate of your
investment?
Answers
Answer:
Step-by-step explanation:
The growth rate of the investment is represented by the constant multiplier in the exponential term of the formula y = 20000(1.035)x. In this case, the constant multiplier is 1.035, which represents the annual growth rate of the investment account.
To calculate the growth rate as a percentage, we can subtract 1 from the constant multiplier, and then multiply the result by 100.
So, the growth rate of the investment is:
1.035 - 1 = 0.035
0.035 * 100 = 3.5%
Therefore, the growth rate of the investment is 3.5%.
The growth rate of the investment can be found by subtracting 1 from the base of the exponential function and converting the result to a percentage:
growth rate = (base - 1) x 100%
growth rate = (1.035 - 1) x 100%
growth rate = 0.035 x 100%
growth rate = 3.5%
Therefore, the growth rate of the investment is 3.5%.
6. A stoplight at an intersection stays red for 60 second, changes to green for 45
seconds, and then turns yellow for 15 seconds. If Jamal arrives at the
intersection at a random time, what is the probability that he will have to wait at
a red light for more than 15 seconds?
Answers
Answer:
0.75 = 75% probability that he will have to wait at a red light for more than 15 seconds
Step-by-step explanation:
At each second, the stoplight is equally likely to change, which means that we use the uniform probability distribution to solve this question.
Uniform probability distribution:
Has two bounds, a and b. The probability of finding a value higher than x is given by:
\(P(X > x) = \frac{b - x}{b - a}\)
Red for 60 seconds
So when Jamal arrives it can change in any number of seconds between 0 and 60, that is, \(a = 0, b = 60\)
Probability that he will have to wait at a red light for more than 15 seconds?
\(P(X > 15) = \frac{60 - 15}{60 - 0} = \frac{45}{60} = \frac{3}{4} = 0.75\)
0.75 = 75% probability that he will have to wait at a red light for more than 15 seconds
7. Which graph represents a proportional
relationship
PLEASE HELP ME
Answers
Answer:
B
Step-by-step explanation:
It's a relationship
0.139 times what number could get me to 100? PLEASE ANSWER, FAST
Answers
Answer:
719.4244604
Step-by-step explanation:
100/0.139=719.4244604
Solve for x, each figure is a trapezoid
Answers
By calculating , The value of x we get is 5 as a final resultant.
What is trapezoid ?
A trapezoid is a quadrilateral with two parallel sides, called the "bases," and two non-parallel sides, called the "legs." The parallel sides can have different lengths, and the trapezoid can be either right-angled or oblique. In other words, a trapezoid is a geometric shape that has two parallel sides, two non-parallel sides and four angles.
Since a Trapezoid has 360 Degrees total and since the sides are equal we can say that
180=110+17x-15
70=17x-15
85=17x
x=5
Therefore, By calculating , The value of x we get is 5 as a final resultant.
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OA and OB are congruent. CD is a chord of both circles.If a radius is 20 ft and CD = 32 ft, how long is AB?
Answers
EXPLANATION
We can apply the Pythagorean Theorem as shown as follows:
\(c^2=a^2+b^2\)If the radius is 20 ft, then c=20 ft
If CD = 32 ft, then b= CD/2 = 32/2 = 16 ft
Replacing terms:
\(20^2=a^2+16^2\)Isolating a:
\(20^2-16^2=a^2\)Computing the powers:
\(400-256=a^2\)Applying the square root to both sides:
\(\sqrt[]{400-256}=a\)Simplifying:
\(\sqrt[]{144}=12=a\)The measure of AB is 12*2= 24 ft long
You have one red apple and three green apples in a
bowl. You randomly select one apple to eat now and
another apple for your lunch. Use a sample space to
determine whether randomly selecting a green apple
first and randomly selecting a green apple second are
independent events.
Answers
Answer: vvvvv
Step-by-step explanation:
Let R1 and G1 represent the red and green apples available for the first selection, respectively. Similarly, let R2, G2a, and G2b represent the red and two green apples available for the second selection, respectively. Then, the sample space for the two selections is:
{(R1, R2), (R1, G2a), (R1, G2b), (G1, R2), (G1, G2a), (G1, G2b)}
Out of these six outcomes, only two involve selecting a green apple first: (G1, R2) and (G1, G2a). And out of these two outcomes, only one involves selecting a green apple second: (G1, G2a).
Therefore, since the probability of selecting a green apple second changes based on whether a green apple was selected first, the events of selecting a green apple first and selecting a green apple second are dependent.
what its 600+600 pls help
Answers
Answer:
1200 hope this helps you;)
Answer:
1200 lol
Step-by-step explanation:
When do we use 180 or 360 to solve interior or exterior angles
Answers
Answer:
when it is alternate
Step-by-step explanation:
Answer:
here
Step-by-step explanation:
when it iş alternate
Please help!
What is the principal square root? And why is it used when solving radical
polynomials?
Answers
Answer:
The principal square root of a non-negative real number is the positive square root. For example, the principal square root of 25 is 5, since 5^2 = 25.
When solving radical polynomials, the principal square root is used because it is the most commonly used square root. In many contexts, including mathematical and scientific calculations, the principal square root is the default choice unless otherwise specified. Additionally, when working with radical expressions, we often simplify expressions by taking the principal square root, as it can help us to simplify calculations and express answers more clearly.
You select 13 cards without replacement from a standard deck of 52 cards. What is the probability that you get 4 aces
Answers
Given :
You select 13 cards without replacement from a standard deck of 52 cards.
To Find :
The probability that you get 4 aces.
Solution :
Since, it is given that we need to select cards without replacement.
Probability of getting 4 aces is :
\(P = \dfrac{1}{52}\times \dfrac{1}{51}\times \dfrac{1}{50} \times \dfrac{1}{49}\times 4!\\\\P = 3.693 \times 10^{-6}\)
Hence, this is the required solution.
A XYZ is translated left 4 units to form the image A X'Y'Z'.
What are the coordinates of the vertices of A X'Y'Z' ?
Enter your answer by filling in the boxes.
Plz Help
Answers
Answer:
y(1,6) x(-4,6) z(1,1)
Step-by-step explanation:
Answer:
X(-8,6)Y(-3,6)Z(-3,1)
Step-by-step explanation:
just moving the coordinate over to the left 4 times
what is the distance between -11 and 8 on the number line?
Answers
Answer:
= 3
Step-by-step explanation:
| 11-8 |= | 3 |= 3
Jane is driving on the highway. She begins the trip with 14 gallons of gas in her car. The car uses up one gallon of gas every 30 miles.
Let G represent the number of gallons of gas she has left in her tank, and let D represent the total distance (in miles) she has traveled. Write an equation
relating G to D, and then graph your equation using the axes below.
Equation:
Explanation
Check
X
5
14
10-
120
140
Please look at the photo. Please answer the equation correctly and give me the dots locations for the graph. Should be two dots.
Answers
G = 14 - D/30 is the equation that is relating G to D
How to solve the equationGiven the information, we can create an equation that describes the amount of gas G Jane has in her car after she has traveled a distance D.
Since Jane's car uses one gallon of gas every 30 miles, for every mile she travels, she uses 1/30 of a gallon.
So, after traveling D miles, Jane has used D/30 gallons of gas.
Because she started with 14 gallons, we can subtract the amount used from the initial amount to find the remaining amount of gas G:
G = 14 - D/30
So, G represents the gallons of gas remaining in Jane's car after she has traveled D miles. This equation assumes that Jane doesn't refill her gas tank during her trip.
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how many feet are there in 23 yards? answer without units.
Answers
Answer:
69 :)
Step-by-step explanation:
Answer: 69 feet
Step-by-step explanation:
1 yard= 3 feet
Given
There are 23 yards
Calculate
23 yards × 3 feet/yard= 69 feet
Hope this helps!! :)
Please let me know if you have any questions
multiply -3+4i and -2i
Answers
We have the following:
\((-3+4i)\cdot(-2i)\)multiply:
\(\begin{gathered} 6i-8i^2 \\ i^2=-1 \\ 6i-8\cdot-1=6i+8 \end{gathered}\)The answer is 6i + 8
Find x intercept
(0, 24) (4,0)
Answers
Answer:
bt.ly/d97sjdu8 there is your answer!
Step-by-step explanation:
Answer:
x-intercept is 0
Step-by-step explanation:
(0, 24) (4,0)
(x, y)
0/4=0
Can you please help.
Answers
Answer:
1 pound = $3.75
Step-by-step explanation:
3.2 pounds = $12
→ Divide both sides by 3.2 to get 1 pounds worth
1 pound = $3.75
can someone please help me ASAP
please show your work on paper
Wrong Answers Will Be Reported !
Answers
The expressions are solved to give;
1.n = 1
2. h = 1
3. x = -5
4. n = 1/4
5. x = 7/2
6. p = 2/3
7. x = -12
8. n = 3
9. c = -1
10. x = 6
What are algebraic expressions?These are expressions that are made up of term, variables, constants, factors and coefficients.
They are also made up of mathematical operations.
From the information given, we have;
1. 5n + n = 2n + 4
collect and add the like terms
4n = 4
Make n subject
n = 1
2. 5h + 2 = h - 2
collect and add the like terms
4h = 4
h = 1
3. 2x - 1 = 3x + 4
collect and add or subtract the like terms
-x = 5
x = -5
4. n = n + 1/5
cross multiply
4n = 1, n = 1/4
5. x + 5 = 3x - 2
collect like terms
-2x = -7
x = 7/2
6. p = p + 2/4
cross multiply
3p = 2
p = 2/3
7. 4(2 + x) = 3x - 4
expand the bracket
8 + 4x = 3x - 4
collect like term
x = -12
8. 5n + 2 = 3n + 4
collect like terms
n = 3
9. 3c - 2 = -3c - 8
collect like terms
6c = - 6
c = -1
10. 3x + 1 = 2x - 5
collect the like terms
x = 6
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Which function has the graph shown?
OAY COS
B. y -cos.x
● C. yin x
D. y sin (x)
f
Answers
The trigonometric function on the graph is:
f(x)= -cos(x)
So the correct option is B.
Which function is the graphed one?Here we can see the graph of a trigonometric function. We can see that the x-intercept is -1.
Notice that:
sin(0)= 0
cos(0) = 1
So the function can be an inversion over the x-axis of the cosine function, we coulod write this as:
f(x) = -cos(x)
That is the graphed function.
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<1 and <5 are ___ angles.
right
vertical
alternate interior
corresponding
angles.
Answers
Answer:
corresponding
Step-by-step explanation:
<1 and <5 are corresponding angles because they are on the same side of the transversal and on the same side of l and m
Write the equation for the inverse of the function. y=Arctan (x+pi/2)
Answers
Answer:
the answer is B
Step-by-step explanation:
(a) Find the expectation E (X) of X.E(x) = 1(b) Find the variance Var(x) of x.Var(x) = 1
Answers
Part a.
The expected value is calculated by multiplying eacn of the possible outcomes by their respective probability and then summing all of those values. In our case, we have
\(\begin{gathered} E(X)=\sum_^X_i\times P(X_i) \\ \end{gathered}\)then
\(E(X)=2\times0.05+3\times0.30+4\times0.10+5\times0.15+6\times0.35+7\times0.05\)which gives
\(E(X)=4.6\)Part b
On the other hand, the sample variance is computed as
\(Var(X)=\sum_{j\mathop{=}1}^n(x_i^2*P(X_i)^-\mu^2\)where μ is the mean value. Given by
\(\mu=\frac{2+3+4+5+6+7}{6}=4.5\)So we get
\(\begin{gathered} Var(X)=4*0.05+9*0.3+16*0.1+25*0.15+36*0.35+49*0.05-4.5^2 \\ Var(X)=23.3-20.25 \end{gathered}\)which gives
\(Var(X)=3.05\)Therefore, the answers are:
a) E(X)= 4.6
b)
Var(X)=3.05
How do I find x? It’s for a riddle
Answers
Answer:
106
Step-by-step explanation:
174-68=106
Jerry sells a particular type of coin online. The amount he charges his customers for the coins includes shipping. Jerry uses the equation shown below to determine the total amount (y), in dollars, he will charge of x coins.
Answers
Answer:
i dont see pic
Step-by-step explanation:
The number 2/5 is both an blank and an blank
Answers
The number 2/5 is both a ratio and a fraction.
How to describe the numberThe number 2/5 is both a ratio and a fraction. Fractions are meant to signify the numerator and denominator in an expression. in the above expression, we have the denominator as 5 and the numerator as 2.
The expression is also a ratio because it indicates the quantitative relationship between the figures.
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Select whether the pair of lines is parallel, perpendicular, or neither. y−4=3(x+5), y+3=−13(x+1)
Answers
Answer:
neither
Step-by-step explanation:
parallel lines will have the same number next to the x
perpendicular lines will have the negative reciprocal number next to the x
(for example 2 and -1/2 are negative reciprocals)
y−4=3(x+5)
parenthesis first
y−4=3x+15
y=3x+19
y+3= −13(x+1)
y+3= −13x−13
y= −13x−16
3x and −13x are neither the same nor negative reciprocals of each other so
the answer is neither
Write the relation as a set of ordered pairs.
a.
ordered pairs: {(–3, 3), (0, 0), (2, –2)}
b.
ordered pairs: {(3, –3), (0, 0), (–2, 2)}
c.
ordered pairs: {(3, –3), (0, 0), (2, -2)}
d.
ordered pairs: {(–2, 2), (0, 0), (3, –3)}
Answers
The relation can be written as a set of ordered pairs as: a. {(–3, 3), (0, 0), (2, –2)}.
What is a Relation?A relation, in maths, is defined as a relationship between two variables, x and y, which are linked to each other.
How to Write a Relation as a Set of Ordered pairs?The x-value and the y-value of each set of points in a relation is written as (x, y).
Thus, in the given relation that is represented by the graph below, we have the following set of ordered pairs representing each point on the graph: (–3, 3), (0, 0), and (2, –2).
Therefore, the relation can be written as a set of ordered pairs as: a. {(–3, 3), (0, 0), (2, –2)}.
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which answer is true
Answers
Answer:
0.2 < 20%
Step-by-step explanation:
Find the probability of getting 2 or 4 or 6 when a dice is rolled
Answers
Answer:
The probability of getting a 2, 4, or 6 when a dice is rolled is 1/2, or 50%. This is because there are six possible outcomes when a dice is rolled, and three of them are favorable outcomes (2, 4, or 6). Therefore, the probability of getting a 2, 4, or 6 is 3/6, which simplifies to 1/2 or 50%.