Answer:
[tex]\sqrt{18}[/tex]
Step-by-step explanation:
you need to use Pythagoras theorem
[tex]a^{2}[/tex]+[tex]b^{2}[/tex]=[tex]c^{2}[/tex]
c is the hypotenuse. the longest side (ab)
a and b are the other two side lengths squared (bc,ca)
the length of both a and b are 3 squares long
[tex]3^{2}[/tex] is 9
you add the square of both sides together to get 18 this is [tex]c^{2}[/tex]
you need to square root that to get the answer
[tex]\sqrt{18}[/tex]
What is the ratio of the circumference of the orange
circle to the circumference of the blue circle?
a. 4pi/9pi
b. 3/2
B) 3/2
The radius of a circle is half its diameter.
Thus, the radius of the orange circle is 6, and the blue circle is 4
Thus the ratio is 4/6, which can be simplified to 3/2
Hope it helps <3 (Also, just answered this question for someone else!!)
Answer:
B. 3/2
Step-by-step explanation:
EDG
Solve the system of linear equations. 3x + y = 9 y − 2x = 4 A) (1, 6) B) (−1, 6) C) (1, −6) D) (−1, −6)
Hey there! :)
Answer:
A) (1, 6)
Step-by-step explanation:
Solve by setting both equations equal to each other. Begin by rearranging each equation to equal y:
3x + y = 9
y = -3x + 9
--------------
y - 2x = 4
y = 2x + 4
---------------
-3x + 9 = 2x + 4
Add 3x to both sides:
-3x + 3x + 9 = 2x + 3x + 4
9 = 5x + 4
Subtract 4 from both sides:
9 - 4 = 5x + 4 - 4
5 = 5x
Divide both sides by 5:
5/5 = 5x/5
x = 1. Substitute 1 into an equation to solve for y:
3(1) + y = 9
3 + y = 9
y = 9 - 3
y = 6.
Therefore, the coordinates of the solution are:
A) (1, 6)
Answer:
[tex]\boxed{OptionA}[/tex]
Step-by-step explanation:
3x+y = 9
y-2x = 4
Subtracting both equations
=> 3x+y-(y-2x) = 9-4
=> 3x+y-y+2x = 5
=> 3x+2x = 5
=> 5x = 5
Dividing both sides by 5
=> x = 1
Now, Putting x = 1 in the first equation
=> 3(1)+y = 9
=> 3+y = 9
=> y = 9-3
=> y = 6
Ordered pair = (x,y) = (1,6)
Please find the length of the segment!!!
Answer:171.5
Step-by-step explanation:
7=✓3.5*x
49=3.5 x
x=48/3.5
x=48*35/10=24*35/5=24*7=168
AW=168
LW=3.5+168=171.5
Simplify: $x(3x^2-2)-5(x^2-2x+7)$. Express your answer in the form $Ax^3+Bx^2+Cx+D.$
Answer:
3x^3-5x^2+8x-35
Step-by-step explanation:
If k = 3, what is the value of k +(2k – 10)
Answer:
-1
Step-by-step explanation:
k + (2k - 10) =
= 3 + (2 * 3 - 10)
= 3 + (6 - 10)
= 3 + (-4)
= -1
Answer:
The value of the equation is -1
Step-by-step explanation:
1st plug in 3 in the equation for k
3 + (2(3)-10)
now we can use PEMDAS
3 + (6 - 10)
we multiplied 2 and 3 to get 6
keep going
3 + -4
now that you have this, we can solve with intervals
btw A positive - negative becomes a negative symbol -
so your equation looks like this now
3 - 4
now we can subtract and our final answer should be
-1
High Hopes <3
Barry
A restaurant menu offers four main courses: grilled chicken, hamburger, hot dog, or pasta. The menu offers three side dishes: salad, coleslaw, or fries. Lastly, the menu offers diners a selection of brownies, ice cream, or cookies as dessert. How many meal combinations are available?
Answer:
36
Step-by-step explanation:
You simply multiply the number of options per each course of the meal and get 3*4*3=12*3=36
The two top NBA players played a basketball game against the RSM team. Together the NBA players made 85 baskets, scoring one point for free throws and two or three points for field goals. They scored a total of 184 points during the game. If they made 22 free throws, how many three-point field goals did they make?
Answer: 36 three-point field goals
Step-by-step explanation:
To solve this problem, set up a system of equations. Let's call the number of one-pointers [tex]w[/tex], the number of two-pointers [tex]x[/tex], and the number of three-pointers [tex]y[/tex]. We are trying to find [tex]y[/tex] here. We also know that [tex]w+x+y=85[/tex], because that is the total amount of baskets, and also that [tex]w+2x+3y=184[/tex], which is the total amount of points. We know that there were 22 free throws, so that means we can take away 22 baskets from the first equation, and also 22 points from the second equation. Now the equations are [tex]x+y=63[/tex] and[tex]2x+3y=162[/tex]. Solving the equations using our knowledge of systems of equations, you get that [tex]y=36[/tex]. So, 36 is the answer. Let me know if anything was unclear, and I hope this helped.
The number of two-point and three-point field goals they made is 27 and 36, respectively.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the number of two points basket be represented by x and the number of three points basket be represented by y.
Now, since the total number of basket is 85, out of which 22 were free throw. Thu, we can write the equation as,
22 + x + y = 85
Solving the equation for x,
x = 85 - 22 - y
x = 63 - y
Further given that the total point made is 184. Therefore, the total number of score can be written as,
22 + 2x + 3y = 184
22 + 2(63 - y) + 3y = 184
22 + 126 - 2y + 3y = 184
y = 36
Substitute the value of y in the first equation,
22 + x + y = 85
x = 85 - 22 - 36
x = 27
Hence, the number of two-point and three-point field goals they made is 27 and 36, respectively.
Learn more about Equation:
https://brainly.com/question/2263981
#SPJ5
The votes for president in a club election were: Smith: 24 Munoz: 32 Park: 20 Find the following ratios and write in simplest form. Votes for Munoz to Smith: Votes for Park to Munoz: Votes for Smith to total votes: Votes for Smith to Munoz to Park:
Answer:
Step-by-step explanation:
Smith=24
Munoz=32
Park=20
Total votes=24+32+20=76
Ratio of votes for Munoz to Smith
32:24
=4:3
Ratio of votes for Park to Munoz
20:32
=5:8
Ratio of votes for Smith to total votes
24:76
=6:19
Ratio of votes for Smith to Munoz to Park
24:32:20
=6:8:5
* PLEASE ANSWER TY!! * If BC is tangent to circle O and OB is a radius, what kind of triangle is OBC?
Answer:
Right Triangle
Step-by-step explanation:
BC is tangent to circle O, and since radius OB is perpendicular to this tangent, then the triangle must have a right angles in it, making it a right triangle.
The triangle could also be scalene, but that is not for sure, meaning it is primarily a right triangle.
Find the missing length to the attached triangle.
Answer:
x = 60
Step-by-step explanation:
Using the right triangle altitude theorem, we have 3 similar triangles.
100/x = x/36
x^2 = 3600
x = 60
Which values are areas of cross sections that are parallel to a face of this right rectangular prism?
Answer:
A = 24
Step-by-step explanation:
We can see that the face of the given rectangular prism shows the width 4 and the height of 6. If we cut the figure at any point along the length 20, such that the cross section is parallel to the face, the cross section, which occurs at x length, will always have the same dimensions, that are 4 and 6.
So the area of the cross section which is parallel to the face of the given rectangular prism is given by:
A = 6 × 4
A = 24
Answer:
6 times 4 is 24
20 times 24 is 480
the answer would be (two answers in total)
480 square units
24 square units
Step-by-step explanation:
Which statements are true about triangle ABC and its translated image, A'B'C'? Select two options. The rule for the translation can be written as T–5, 3(x, y). The rule for the translation can be written as T3, –5(x, y). The rule for the translation can be written as (x, y) → (x + 3, y – 3). The rule for the translation can be written as (x, y) → (x – 3, y – 3). Triangle ABC has been translated 3 units to the right and 5 units down.
Answer:
The rule for the translation can be written as T3, –5(x, y)
Triangle ABC has been translated 3 units to the right and 5 units down.
Step-by-step explanation: I think this is correct
True statements are
The rule for the translation can be written as T3, –5(x, y).
Triangle ABC has been translated 3 units to the right and 5 units down.
Given :
The graph is attached below
Given options are
The rule for the translation can be written as T–5, 3(x, y).
The rule for the translation can be written as T3, –5(x, y).
The rule for the translation can be written as
(x, y) → (x + 3, y – 3).
The rule for the translation can be written as
(x, y) → (x – 3, y – 3).
Triangle ABC has been translated 3 units to the right and 5 units down.
Explanation :
In the triangle ABC, A is at (-1,3)
In A'B'C', A' is at (2,-2)
From these points we can see that
[tex]-1+3=2\\3-5=-2[/tex]
So , 3 is added with x value and -5 is added with y value
Hence, we can say that Graph ABC is shifted 3 units to the right and 5 units down.
Rule for the translation can be written as [tex]T_{3,-5}(x,y)[/tex]
Learn more :
brainly.com/question/3868587
CORRECT ANSWER GETS BRAINLIEST!! PLSS HELP!!
Answer:
Landing on a 1 or 2.
25% means 0.25, or 2/8 chance of winning. The spinner has 2 out of 8 as 1 or 2.
If the area of a right triangle is 15, what is its
perimeter?
Answer:
the perimeter of the right triangle is 45
Answer: There are many possibilities, depending on the base and height dimensions. Here are a few:
if 3 × 10 the perimeter will be = 3 + 10 + 10.44 = 23.44
if 2 × 15 the perimeter will be = 2 + 15 + 15.13 = 32.13
if 1 × 30, the perimeter will be = 1 + 30 + 30.02 = 61.02
Step-by-step explanation: For the area of the triangle
A = bh/2. The Perimeter is the sum of the three sides
No base or height is given in this question, so it could be any combination of factors that result in A = 15 Even fractional dimensions! (But we'll keep it simple for now. You could probably set up an equation and graph it to see all the combinations.)
To get the third side, the hypotenuse, use the Pythagorean Theorem.
For 3 × 10, [tex]\sqrt{109}[/tex] is the third side
For 2 × 15, [tex]\sqrt{229}[/tex] is the third side
For 1 × 30 [tex]\sqrt{901}[/tex] is the third side
Find the missing segment in the image.
Answer:
? = 54.
Step-by-step explanation:
According to the AA Theorem, the two triangles are similar.
[tex]\frac{35}{65} =\frac{63}{? + 63}[/tex]
[tex]\frac{7}{13} =\frac{63}{? + 63}[/tex]
7(? + 63) = 63 * 13
? + 63 = 9 * 13
? + 63 = 117
? = 54
Hope this helps!
The ratio of the corresponding sides will be constant. Then the missing segment will be 54.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
If the two triangles are similar, the ratio of the corresponding sides will be constant.
Let x be the missing segment.
x / 63 = 30 / 35
x = 54
More about the triangle link is given below.
https://brainly.com/question/25813512
#SPJ5
Find the slope of the line on the graph. Write your answer as a fraction or a whole number, not as a mixed number or decimal.
Answer:
The slope of the line on the graph is 1
Step-by-step explanation:
When finding slope, you can follow the listed formula :
[tex]\frac{rise}{run}[/tex]
Now what does this mean? Rise is talking about the length for the y axis, while run is talking about the length for the x axis.
So what you want to do is find two points on the line that touch an actual number and doesn't stop in the middle of a square. In this case, I see (0,4) and (3,1).
So now you want to see how many squares make up the distance for the two points, so move down and you count 3 squares to equal to (0,1), now try to find a way to get to (3,1). Move three squares to the right.
Now, since you moved 3 squares down on the y axis, you replace that with rise on the fraction.
[tex]\frac{3}{run}[/tex]
Now since you moved 3 squares right on the x axis, you replace that with run on the fraction.
[tex]\frac{3}{3}[/tex]
Now divide :
[tex]1[/tex]
WILL MARK BRAINIEST [tex]f(x)=4x^2+5+2^x[/tex]
Find [tex]f(-4)[/tex].
Step-by-step explanation:
[tex]f(x) = 4 {x}^{2} + 5 + {2}^{x} [/tex]
To find f(-4) replace every x in f(x) by - 4
That's
[tex]f( - 4) = 4( { - 4})^{2} + 5 + {2}^{ - 4} \\ \\ = 4(16) + 5 + \frac{1}{16} \\ \\ = 64 + 5 + \frac{1}{16} \\ \\ = 69 + \frac{1}{16} \\ \\ = \frac{1105}{16} \\ \\ = 69 \ \frac{1}{16} [/tex]
Hope this helps you
*ANSWER PLS, DIFFICULT QUESTION* Wrapping paper costs $0.025 per square inch. If a moving box that is an 8 ½ inch cube is being wrapped, how much would the wrapping paper for this box cost (rounded to the nearest dollars and cents)?
Answer: D $10.84
Step-by-step explanation:
If the box is a cube and paper is needed to wrap it, then we need to find the surface area of the box then multiply it buy the cost of the wrapping paper.
The surface area of a cube uses the formula 6a^2 where a is any side length.
We know that the box has a side length of 8.5 inches.
SA = 6*8.5^2
SA= 433.5
Now multiply the surface area by the money.
433.5 * 0.025 = 10.8375
Round 10.8375 to dollars and cents as it is required.
10.8375 = 10.84
Which means it will cost $10.84 to wrap the box.
Answer:
$10.84
Step-by-step explanation:
The surface area of the moving box is SA = 6s2.
SA = 6(8.5)2
SA = 6(72.25)
SA = 433.50 square inches.
At $0.025 per square inch, it would take 433.50 x (0.025) or $10.84 to wrap this box.
Which of the following correctly completes the square for the equation
below?
x2 + 4x = 27
A. (x + 2)2 = 31
B. (x + 2)2 = 43
C. (x + 4)2 = 31
D. (x+4)2 = 43
SUBMI
PREVIOUS
Answer:
A. (x + 2)^2 = 31.
Step-by-step explanation:
x^2 + 4x = 27
x^2 + 4x - 27 = 0
A. (x + 2)^2 = 31
x^2 + 4x + 4 - 31 = 0
x^2 + 4x - 27 = 0
This option corresponds to the given equation, so it is correct.
B. (x + 2)^2 = 43
x^2 + 4x + 4 - 43 = 0
x^2 + 4x - 39 = 0
This does not correspond to the equation.
C. (x + 4)^2 = 31
x^2 + 8x + 16 - 31 = 0
x^2 + 8x - 15 = 0
This does not correspond to the equation.
D. (x+4)^2 = 43
x^2 + 8x + 16 - 43 = 0
x^2 + 8x - 27 = 0
This does not correspond to the equation.
So, your answer is A. (x + 2)^2 = 31.
Make sure to SUBMIT and check your PREVIOUS answers to make sure they are right! XD Also, hope this helps!
Which algebraic expression represents the phrase “two times the quantity of a number minus 12”?
2y - 12
2(y -12)
2(y + 12)
2y + 12
Answer:
Step-by-step explanation:
2y - 12 is correct.
2(y - 12) would apply if the problem statement were: "twice the difference of y and 12".
The algebraic expression that represents the phrase “two times the quantity of a number minus 12” is 2y - 12.
Given phrase,
Two times the quantity of a number minus 12.
We need to find an algebraic expression that represents the above phrase.
The given phrase is "Two times the quantity of a number minus 12".
We will separate it into two parts :
- Two times the quantity of a number
- Minus 12
Let the quantity of a number be y.
So we have,
"Two times the quantity of a number" can be written as:
= 2 x y
Adding the other parts "Minus 12" we get:
= 2y - 12
Thus, the algebraic expression that represents the phrase “two times the quantity of a number minus 12” is 2y - 12.
Learn more about algebraic expression here:
https://brainly.com/question/27963507
#SPJ2
*ANSWER PLS TY!* The radius of a salad bowl is 11.4 inches. What is the surface area of the bowl? (Assume the bowl is half a sphere). a.) 1633.13 in2 b.) 408.28 in2 c.) 204.14 in2 d.) 816.56 in2
Answer:
The answer is A: 1633.13 is the surface area
Hope this help :)
The surface area of the bowl is 816.56 square inches if the radius of a salad bowl is 11.4 inches option (d) is correct.
What is a sphere?It is defined as three-dimensional geometry when half-circle two-dimensional geometry is revolved around the diameter of the sphere that will form.
[tex]\rm V = \dfrac{4}{3} \pi r^3[/tex]
The surface area of the hemisphere = 2πr²
The radius r = 11.4 inches
The surface area of the hemisphere = 2π(11.4)²
The surface area of the hemisphere = 259.92π square inches
or
= 816.56 square inches
Thus, the surface area of the bowl is 816.56 square inches if the radius of a salad bowl is 11.4 inches option (d) is correct.
Learn more about the sphere here:
brainly.com/question/11374994
#SPJ2
The equation tan(55) = 15/b can be used to find the length of line AC.what is the length of line AC round to the nearest 10th 3.0in 9.8in 10.5n 12.8i
Answer:
10.5 in
Step-by-step explanation:
Given
[tex]tan(55) = \frac{15}{b}[/tex]
Required
Find length AC
The question is not detailed enough; so, I'll assume that b represents line AC.
Having said that;
We start by multiplying both sides by b
[tex]tan(55) = \frac{15}{b}[/tex]
[tex]b * tan(55) = \frac{15}{b} * b[/tex]
[tex]b * tan(55) =15[/tex]
Divide both sides by tan(55)
[tex]\frac{b * tan(55)}{tan(55)} = \frac{15}{tan(55)}[/tex]
[tex]b = \frac{15}{tan(55)}[/tex]
Find tan(55)
[tex]b = \frac{15}{1.42814800674}[/tex]
[tex]b = 10.5031130731[/tex]
[tex]b = 10.5[/tex] (Approximated)
Length AC is 10.5
Answer:
C
Step-by-step explanation:
ed2020
The ratio of the lengths of the corresponding sides of two regular octagons is 8 to 3. The area of the larger octagon is 320 ft2. Find the area of the smaller octagon.
Answer:
45 square units
Step-by-step explanation:
In the above question, we are given the following values
The ratio of the lengths of the corresponding sides of two regular octagons is 8 to 3.
This means the length of the larger octagon = 8
The length of the smaller octagon = 3
Using scale factor denoted as k and because we are dealing with area of the octagon
k = 3²/8²
The area of the larger octagon is 320 ft².
The area of the smaller octagon s represented as y and is calculated as
k = y/Area of larger octagon
3²/8² = y/320
Cross multiply
8² × y = 3² × 320
y = 3² × 320/8²
y = 45 square units
Area of smaller octagon = 45 square units.
Pls help with explanation. Will give brainliest
Answer:
E - 40°
Step-by-step explanation:
Angle O = 2 × y
{Angle at center is equal to twice the angle at circumference formed by the same arc}
O = 2 × 70°
O = 140°
x + 90° + 90° + O = 360°
{Sum of angles in a quadrilateral is equal to 360°}
x + 90° + 90° + 140° = 360°
x + 320° = 360°
x = 40°
In which quadrant does the point (-23 , -10) lie? A. Quadrant II B. Quadrant IV C. Quadrant III D. Quadrant I
Answer:
C. Quadrant III
Step-by-step explanation:
Note:
Quadrant I: x(+)
y(+)
--------------------------------
Quadrant II: x(-)
y(+)
--------------------------------
Quadrant III: x(-)
y(-)
--------------------------------
Quadrant IV: x(+)
y(-)
Below you can see a table set up to multiply two polynomials. What is the coefficient of the x^3-term of the product? I will mark brainliest!
Answer:
-2
Step-by-step explanation:
*ANSWER ASAP PLS* Wrapping paper costs $0.035 per square inch. If a moving box that is an 10 inch cube is being wrapped, how much would the wrapping paper for this box cost (rounded to the nearest dollars and cents)?
The wrapping paper for this box cost (rounded to the nearest dollars and cents) should be $21.
Calculation of the cost:Since
Wrapping paper costs $0.035 per square inch. And, there is a moving box that is an 10 inch cube is being wrapped.
So,
We know that
Surface area of the cube with side a is given by [tex]s = 6a^2[/tex]
[tex]= 6 \times 10^2 inch^2[/tex]
Now
So charge for 600 square inch should be like
[tex]= 600 \times $0.035[/tex]
= $21
hence, Wrapping paper for the box cost $ 21.00.
learn more about cost here: https://brainly.com/question/13354141
Solve the system of inequalities : |x|<7 |x| ≥5
Answer:
x=5,6
Step-by-step explanation:
Answer:
Step-by-step explanation:
Draw a dashed horizontal line at y = 7, and under this line, from the x-axis to the line y = 7, draw the v-shaped graph of the absolute value function.
Next, draw a solid horizontal line at y = 5.
Shade the area between these two lines, touching the line y = 5 but not touching the line y = 7. The result will be a trapezoid-shaped area. All points in this area are solutions to this system of inequalities.
Find,in the form y=mx +c, the equation of the straight line with the given gradient which passes through the given point.
gradient 3, point (1,2)
gradient -1, point (5,3)
gradient 4, point (-2,-3)
Answer:
for first
Step-by-step explanation:
here
slope (m)=3
point=(1,2)=(x1,x2)
equation of straight line
(y-y1)=m(x-x1)
or 3x-y+1=0
so y= 3x+1
now do all of the question like this
PM is the median of trapezoid KLNO. If ON= 30 centimeters and KL= 20 centimeters, which is the length of PM?
A. 22cm
B. 25cm
C. 26cm
D. 28cm