A boat leaves the dock and travels 7 miles due south, then 24 miles due west.
How far is the boat from the dock?
A. 625 mi
B. 31 mi
C. 17 mi
D. 25 mi
Answer:
D
Step-by-step explanation:
The boat is a distance of 25 miles far away from the dock. which is the correct would be an option (D).
What is the right triangle?A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.
A boat leaves the dock and travels 7 miles due south, then 24 miles due west which is given in the question.
According to Pythagoras's theorem,
In a right-angled triangle, "the square of the hypotenuse is equal to the sum of the squares of the other two sides."
perpendicular²+base²=hypotenuse²
The hypotenuse = c
Here , perpendicular = 7 and base = 24
⇒ 24² + 7² = c²
⇒ 576 + 49 = c²
⇒ 625 = c²
⇒ c² = 625
⇒ c = 25
Therefore, the boat is a distance of 25 miles far away from the dock.
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Based on the given information, find the measure
of arc DC. (Hint: Try to find angle DBC first.)
Answer:
122degrees
Step-by-step explanation:
Since triangle BDC is a triangle, hence;
49 + 70 + <DBC = 180
<DBC = 180 - (70+49)
<DBC = 180 - 119
<DBC = 61
Since angle at the vertex is half the angle of its intercepted arc, then;
<DBC = 1/2 x
61 = 1/2 x
x = 61 * 2
x = 122degrees
Hence the measure of arcDC is 122degrees
For the quadratic y = x^2 -7x +12, when x = -3, what is the y-value?
Answer:
y = 0
Step-by-step explanation:
subsitute x = -3 into y = x^2 - 7x + 12
y = -3^2 - 7 x -3 + 12
= 9 - 21 + 12
= 0
Answer: 42
Step-by-step explanation:
y= (-3)^2 -7(-3) +12
= (9) -(-21) +12
= 9+21+12
= 42
PLEASE HELPP :(
Does the relationship shown in the table represent a direct or inverse variation relationship?
A: Direct, as x increases, y also increases
B: Direct, as x increases, y decreases
C: Inverse, as x increases, y also increases
D: Inverse, as x increases, y decreases
Step-by-step explanation:
i think
C: Inverse, as x increases, y also increases
Step-by-step explanation:
C: Inverse, as x increases, y also increases
hope it is helpful to you
BRAINLIEST IF UR CORRECT What is the correct answer?
Step-by-step explanation:
The function should look like this:
g(x) = 10^(x - 1) + 2
The length of rectangle PQRS is expressed as 2x+7. The width of rectangle PQRS is expressed as 3x−4. Which expression describes the area of rectangle PQRS?
A.6x^2
B.6x^2-29x-28
C.6x^2-15
D.6x^2+13x-28
Answer:
[tex]area = length \times width \\ = (2x + 7)(3x - 4) \\ = (6 {x}^{2} - 8x + 21x - 28) \\ = (6 {x}^{2} + 13x - 28) \: sq \: units[/tex]
The area of the rectangle PQRS is given by the formula D) 6x²+13x-28.
What is algebraic Expression?Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.
The area of a rectangle is given by the formula:
A = l × w, where l is the length and w is the width.
In this case,
The length is 2x + 7 and the width is 3x - 4.
Therefore, the area of the rectangle is:
[tex]A = (2x + 7)(3x - 4)\\A = 6x^2 - 8x + 21x - 28\\A = 6x^2 + 13x - 28[/tex]
Therefore, the expression that describes the area of rectangle PQRS is D) 6x²+13x-28.
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Please help!! Someone answered this already as a joke, I seriously need help on this
Match the shape with the correct formula for finding the volume :-
SHAPES :-
ConeCylinder Triangular PrismRectangular Prism PyramidFORMULAE :-
[tex] \sf lwh[/tex] [tex] \sf Bh[/tex] [tex] \sf \frac{1}{3} \pi {r}^{2} h[/tex] [tex] \sf \pi {r}^{2} h[/tex] [tex] \sf \frac{1}{3} Bh[/tex] ____________________Solution :-Given Information :- Shapes Formulae to calculate Volume To Do :-Match the shape with the correct formula for finding the volume.
Calculation :-Cone = [tex] \sf \frac{1}{3} \pi {r}^{2} h[/tex] Cylinder = [tex] \sf \pi {r}^{2} h[/tex] Triangular Prism = [tex] \sf Bh[/tex] Rectangular Prism = [tex] \sf lwh[/tex] Pyramid = [tex] \sf \frac{1}{3} Bh[/tex] ____________________Final Answers :- Cone = [tex] \sf \frac{1}{3} \pi {r}^{2} h[/tex] Cylinder = [tex] \sf \pi {r}^{2} h[/tex] Triangular Prism = [tex] \sf Bh[/tex] Rectangular Prism = [tex] \sf lwh[/tex] Pyramid = [tex] \sf \frac{1}{3} Bh[/tex] ____________________Look at this shape:
Which image shows a translation?
Answer:
The option C
Step-by-step explanation:
In the option A and B the image is been showed in either up-side down or mirror image. Only the option C has the image in a correct way and just moved the shape in a different position
The solution is Option C.
The image which shows a translation is Figure C.
What is Translation?
A translation moves a shape up, down, or from side to side, but it has no effect on its appearance. A transformation is an example of translation. A transformation is a method of changing a shape's size or position. Every point in the shape is translated in the same direction by the same amount.
Given data ,
Let the figure be represented as F
Now , the figure is translated up , down, or from side to side
The size of the figure does not change on translation
a)
The figure A has been inverted and it is not a transformation of translation
So , the Figure A is false
b)
The Figure B has been reflected by a factor , and reflection changes the coordinates of the figure F
So , Figure F is False
c)
The Figure C is translated by a factor of x to the left and y to downwards
The size of the figure remains the same
So , Figure C is a translation of Figure F
Hence , the figure C is a translation
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Solve 9x + 18 = 6y - 3x for y
Answer:
y = 2x + 3
Step-by-step explanation:
Here is the Math problem.
Answer:
Workup in photo below.
Step-by-step explanation:
Good luck.
‼️‼️‼️‼️‼️‼️‼️‼️Help plssss‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️
Esme earns a net salary of $2,400 per month. She already has a savings account that has $100 in it. After paying her expenses every month, she'll be able to add $100 to her savings account. Esme also plans to purchase a car priced at $20,000 using a no-interest loan. She will make a $300 payment on the loan every month. In how many months will Esme have enough money saved to pay off her loan completely?
Answer:
She will be able to pay off her loan completely in approximately 50 months
Step-by-step explanation:
The amount Esme earns as net salary = $2,400
The amount she already has in a savings account = $100
The amount she would be able to add to her savings account every month = $100
The cost of the car Esme plans to purchase on the no interest loan, A = $20,000
The amount she will make as payment on the loan every month, P = $300 per month
Let 'x' represent the number of month Esme will be able to pay off her loan completely, we have
The number of month Esme will have enough money to pay off her loan completely is given by the following equation;
20,000 = 100 + 300 × x + 100 × x = 100 + 400·x
∴ x = (20,000 - 100)/400 = 49.75
Therefore, the number of months she will be able to pay off her loan completely = 49.75 months ≈ 50 months.
What is the discontinuity and zero of the function f(x) = the quantity of 3 x squared plus x minus 4, all over x minus 1 ? (Radical Expressions)
Discontinuity at (−1, 1), zero at ( four thirds , 0)
Discontinuity at (−1, 1), zero at ( negative four thirds , 0)
Discontinuity at (1, 7), zero at ( four thirds , 0)
Discontinuity at (1, 7), zero at ( negtive four thirds , 0)
Answer:
Discontinuity at (1, 7), zero at (-4/3 , 0)
Step-by-step explanation:
[tex]3x^{2} + x - 4[/tex] = (3x + 4)(x - 1) = 0
x = -4/3 or 1
But x = 1 makes f(x) undefined, so there is discontinuity at x = 1
and there is a zero at x = -4/3.
3x + 4 = 3(1) + 4 = 3 + 4 = 7
If you were to graph this function, then you would get the line y = 3x + 4 with a hole at (1, 7). The line would cross the x-axis at (-4/3, 0) with discontinuity at (1, 7)
how do u do number 10?
Answer:
C is the correct option
Please help!! Thanks in advance!! NO links!!
Kallan will spin each spinner one time. What is the probability that the first spinner will land on a number greater than 7 and the second spinner will land on blue?
Answer:
probability for numbers greater than seven would be: 5/12
probability for landing on blue would be: 2/8
Step-by-step explanation
first, I counted all of the spaces, then I counted only the blue , or only the numbers over 7.
when will i ask another question
Answer:
I don t understand what you are saying
Answer:
tomorrow
Step-by-step explanation:
What is 200+199+1+3-94 divided by 11x12(5+3)x(3,540+32130-1
Help PLEASE ILL MARK BRAINLIEST!!!
Mario ran backwards 5 spaces then jumped up 3 spaces. How can we show this as an ordered pair?
Helpppp meeeee plssss
15 cm
15 cm
16 cm
20 cm
57 cm
What is the area of the polygon?
Answer:
this is insolveable
Step-by-step explanation:
HELP PLEASEEEE I WILL MARK BRAINLIEST
Answer:
Step-by-step explanation:
we need to make two rectangles.
one that is 13.1 Km X (9.3-4.2) Km
13.1 * 5.1 = 66.81
the next box is 4.2 X (13.1-8.1)
4.2*5 = 21
area total = 21 + 66.81 = 87.81[tex]Km^{2}[/tex]
HELPPPP!!!!
PLZZZZ!!
Answer:
the 2nd option is true
Step-by-step explanation:
slope for W = 1/2
slope for Z = 1/4
y-intercept for W = -1
y-intercept for Z = -2
y-value when w = -4 is 3 for both W and Z
Name
1 Translate rectangle ABCD three units to the left
and five units up. Label it ABCD
2. Figure ABC is dited by a sole rector of
Draw and obel the new tre
A
Which of the following is a true biconditional statement?
O
A. I walk one mile to the store if and only if the store is 5280 feet
away.
B. A person practices yoga if and only the person is relaxed.
c. I wear my raincoat if and only if it is raining.
D. An athlete wears a hat if and only if the athlete is on a baseball
team.
Answer:
C. I wear my raincoat if and only if it's raining
The cost a dog walker for n hours is given by f(n) = 5 + 10n. Which statement is true?
A. For each additional hour of service, the price of the dog walker increases by $15.
B. For each additional hour of service, the price of the dog walker increases by $5.
C. For each additional hour of service, the price of the dog walker increases by $10.
D. For each additional hour of service, the price of the dog walker decreases by $10.
Answer:
C. For each additional hour of service, the price of the dog walker increases by $10.
Step-by-step explanation:
Hope this helps!
:)
Austin runs 4 miles in 30 minutes. At the same rate, how many miles would he run in 48 minutes?
Answer:
miles/time = miles/time miles/48 min = 4 mi/30 min ---- miles = 48(2/15) miles = 96/15 miles = 6.4 miles.
Step-by-step explanation:
hope it hlp
The Atlanta Braves baseball team has a mean batting average of 250 with a standard deviation of 20. Assume the batting averages are approximately normally distributed.
What percent of Braves players fall between 230 and 270?
Answer:
68 %
Step-by-step explanation:
Since we have our mean x = 250 and standard deviation σ = 20, we need to find how many standard deviations away the values 230 and 270 are.
Note x - σ = 250 - 20 = 230 and x + σ = 250 + 20 = 270
The values are one standard deviation away.
So, the values between 230 and 270 lie in the range x - σ to x + σ.
Since the batting averages are approximately normally distributed and for a normal distribution, 68 % of the values lie in the range x - σ to x + σ.
So, 68 % of Braves players fall between 230 and 270.
Find the circumference
Answer:
c=pi*D
d=7
pi times 7= 21.98 is the circumference
c=pi*D
d=8
pi times 8=25.12 is the circumference
Step-by-step explanation:
Which of the following is equivalent to the expression 2/5x4
Answer:
1 3/5, 1.6 or 8/5
Step-by-step explanation:
Use this rule a/bxc=ac/b
2*4/5
Simplify 2*4 to 8
8/5
Convert to mixed fraction
1 3/5
Decimal form:1.6
At the toy store, 4 toy cars cost $3.28. How much does it cost to buy 15 toy cars?
A. $12.30
B. $13.80
C. $11.55
D. $10.80