Answer:
x = 198
Step-by-step explanation:
To find our unknown number, we simply use algebra:
x + 400 = 598
Subtract both sides by 400
x = 198
Answer:
To fill in the blank just subtract
[tex]598-400=198[/tex]
To check add 198 and 400
[tex]400+198=598[/tex]
So, the answer is 198
Hope this helps
(ﾉ´ヮ`)ﾉ*: ･ﾟ
The square based pyramid is cut horizontally at a height of 15cm to leave this frustum. Calulate the volume of the frustum.
Answer:
The answer is given below
Step-by-step explanation:
The question is not complete. The correct question is:
A square based pyramid have a height of 30 cm and base of 10 cm. The The square based pyramid is cut horizontally at a height of 15cm to leave this frustum.
Answer:
The frustum would have a base of 10 cm and height of 15 cm. The lower base has a length of 10 cm. to calculate the upper base, we use the formula:
[tex]\frac{height\ of\ frustum}{height\ of \ pyramid}=\frac{base \of\ upper\ edge}{base \of\ lower\ edge}[/tex]
Substituting:
[tex]\frac{30}{15}=\frac{10}{b} \\ b=15*10/30=5[/tex]
The volume of the frustum is given by the formula:
[tex]V=\frac{h}{3}(A_1+A_2+\sqrt{A_1A_2} )[/tex]
Where h is the height of the frustum = 15 cm, A1 is the area of the lower base = 10 * 10 = 100 cm², A1 is the area of the upper base = 5 * 5 = 25 cm²
Substituting gives:
[tex]V=\frac{h}{3}(A_1+A_2+\sqrt{A_1A_2} )=\frac{15}{3}(100+25+\sqrt{100*25} )= 875\ cm^3[/tex]
simplify 10 in radical sign times 8 in radical sign
A bricklayer charges $8 per square foot to lay a patio.How much would it cost for the bricklayer to lay a 12-foot-x 16-foot patio?
Area of patio = 12 x 16
= 192 square feet
Cost = 192 x 8
= $1536
Which transformations could have occurred to map ABC
to ABC
a rotation and a reflection
a translation and a dilation
a reflection and a dilation
a ditation and a rotation
Answer:
a dilation and a rotation
Step-by-step explanation:
is what I put
Rajesh told Margaret that he ate half of the amount of cookies that josh ate. Margaret does not know how many cookies Josh ate. a. Using the variable c to represent the amount of cookies that josh ate, write an expression that represent s the amount of the cookies that Rajesh ate. b. If rajesh actually ate one more than half of the amount josh ate, write an expression that represents the amount of cookies Rajesh ate.
Answer:
a. 1/2 of Josh's cookies is the same thing as 1/2 of c which can be written as 1/2c.
b. We know that one half of the amount Josh ate is 1/2c from the previous problem. One more than that is simply 1/2c + 1.
PLEASE HELP!! Solve system of equations
I think you use desmos but mine isn’t working
Answer:
The solution of system of equations is (1 , 5)
Step-by-step explanation:
The first equation is:
3y + 2x = 17
The second equation is:
-x - 4y = -12
3y + 2x = 17 :
For x = 0 , y = 5.67
For x = 1 , y = 5
For x = 2 . y = 4.33
For x = 3 , y = 3.67
For x = 4, y = 3
-x - 4y = -21 :
For x = 0 , y = 5.25
For x = 1 , y = 5
For x = 2 . y = 4.75
For x = 3 , y = 4.5
For x = 4, y = 4.25
Solve the system of Equations:
3y + 2x = 17 ⇒ a
-x - 4y = -21 ⇒ b
Multiply equation b by -1:
x + 4y = 21
Rearrange:
x = 21 - 4y
Substitute x into equation a:
3y + 2(21-4y) = 17
3y + 42 - 8y = 17
-5y = 17 - 42
-5y = -25
y = 5
Substitute y in equation b:
-x - 4(5) = -21
-x -20 = -21
-x = -21+20
-x = -1
x = 1
Find the values of the missing angles
Answer:
65
Step-by-step explanation:
Angle A is 55 degrees.
A triangle adds up to 180 in degrees so 60 + 55 = 115
180 - 115 = 65 therefore angle C is 65 degrees.
Angle B is equal to angle C so it's also 65 degrees.
Basically:
A - 55
B - 65
C - 65
What is the y-intercept of the function f(x)=4 – 5x?
A. -5
B. -4
C. 4
D. 5
Answer:
C. 4
Step-by-step explanation:
By definition y = ax +b
b is the incline with the y-axis
a = incline or gradient.
Given y = -5x + 4
By this alone you can see b = 4
Choose your answer, which is answer C.
Use △XYZ, in which ∠X is a right angle and tanY=815.
Answer:
8/17
Step-by-step explanation:
The correct and complete question is:
Use △XYZ, in which ∠X is a right angle and tanY=8/15. What is the ratio for sinY?
From definition:
tan(Y) = opposite/adjacent
From the graph and the question:
tan(Y) = XZ/XY = 8/15
Then:
XZ = 8 and XY = 15. Using pytaghorean theorem:
XZ² + XY² = YZ²
8² + 15² = YZ²
√289 = YZ
17 = YZ
From definition:
sin(Y) = opposite/hypotenuse
From the graph:
sin(Y) = XZ/YZ
sin(Y)= 8/17
Color to show the fractions
Did I do it right ?
Answer:
For number three you did everything correct.
But, number 4 it has to be equal to.
[tex]3/6=1/2[/tex]
They are equal to each other.
So just change it to an equal sign and your good.
Hope this helps
All is right, just one wrong.
3 sixths are not lesser than 1 half.
[tex]\displaystyle \frac{3}{6} =\frac{1}{2}[/tex]
3 sixths are equal to 1 half.
70°
xo
Determine the value of x in the figure.
OA) X= 70
B) x = 35
OC) x = 140
OD) x = 40
Find the value of X.
Answer:
x = 8
Step-by-step explanation:
24 : x = 36 :12
36x = 24 * 12
x = 24*12/36 = 8
40% as ounces
Pls help
Answer:
that equals 5 cups
Step-by-step explanation:
40% in ounces is 5 cups
Step-by-step explanation:
If you divide the total amount of cups it takes to take the next measurement it comes to 5 cups.
A telephone company charges a fixed monthly rate plus a rate per megabyte of data used. The company charges $155 for 100 megabytes and $245 for 200 megabytes. An equation can be written to show the relationship between the total megabytes of data used (x) and the total monthly charges (y). Which of the following best describes the steps to draw the graph? Draw a graph that joins the points (155, 100) and (245, 200) and has a slope = 0.9 Draw a graph that joins the points (155, 100) and (245, 200) and has a slope = 1.1 Draw a graph that joins the points (100, 155) and (200, 245) and has a slope = 1.1 Draw a graph which joins the points (100, 155) and (200, 245) and has a slope = 0.9
Answer:
Draw a graph that joins the points (100, 155) and (200, 245) and has a slope = 0.9
Step-by-step explanation:
x variable represents total megabytes of data used
y variable represents total monthly charges
The company charges $155 (y) for 100 megabytes (x) means that the point (100, 155) belongs to the equation.
The company charges $245 (y) for 200 megabytes (x) means that the point (200, 245) belongs to the equation.
With these two points, the slope is computed as follows:
(245 - 155)/(200 - 100) = 0.9
Answer:
the correct answer is
Step-by-step explanation:
Second option: Draw a graph that joins the points 100 and 135 500 and 375 and has a slope of 0.6
or if you have the other problem its
Draw a graph which joins the points (100, 120) and (50, 95) and has a slope = 0.50
Graph the rational function f(x)=2x-3 over x+4
Answer
Here is the graph of f(x).
graph{-(x)/((2x-3)(x+4)) [-10, 10, -5, 5]}
A frequency table for the 30 best lifetime baseball batting averages of all time is shown to the right. These data can be graphically displayed as a histogram. Which of the following graphs correctly displays the data from the table? A. Graph A B. Graph B C. Graph C D. Graph D E. Graph E
It’s B.
The numbers match the histogram.
The bar graph which displays the frequency table for the 30 best lifetime baseball batting averages of all time is given by graph B
What is a Bar graph?Using rectangular bars with heights or lengths proportionate to the values they represent, a bar chart or bar graph displays categorical data. Both a vertical and a horizontal bar plot are possible. Sometimes referred to as a column chart, a vertical bar graph.
Discrete, continuous, or categorical data are typically organized into class intervals in bar charts. They are made up of a set of marked horizontal or vertical bars and an axis.
Given data ,
Let the bar graph be represented as A
Now , the x axis of the bar graph is represented by the class
where Class = { 0.320 - 0.329 , 0.330 - 0.339 , 0.340 - 0.349 , 0.350 - 0.359 , 0.360 - 0.369 }
And , the y axis of the graph represents the frequency of the class
where Frequency = { 1 , 14 , 12 , 2 , 1 }
Now , the graph which represents the bar graph for the following situation is graph B
Hence , the bar graph is graph B and is attached below
To learn more about bar graph click :
https://brainly.com/question/30443555
#SPJ3
What is the solution to the equation 2n3=n+145? Enter your answer in the box. n =
I just took the test and the answer is n= 6
Answer:
n=6
Step-by-step explanation:
PLEASE HELP is 48, 41, 50, 46 a solution??
Please help real quick good points
Answer:
b. six equilateral triangles
Step-by-step explanation:
The 6 interior angles of the hexagon are supplementary to the exterior angle and are 120 deg. ... Therefore the angles at the center is 360/6 = 60 degrees for each triangle. So all three angles of the six triangles are 60 deg each. So there are 6 equilateral triangles that form the regular hexagon.
At a car repair shop, the cost of a repair depends on the time the mechanic
works. Which of the following shows this idea expressed in function
notation?
A. time(number of cars)
B. time(cost)
O O O
C. cost(time)
D. number of cars(time)
Answer:
D is correct answer
Step-by-step explanation:
BO is included between
c
O A. AB
A. AB and AC
B. BC and AC
O C. ZA and 2B
O D. ZB and 20
Answer:
Answer is given below with explanations.
Step-by-step explanation:
The correct answer is option d
BC is included between the angle B and C
Hence the answer is option d
HAVE A NICE DAY!
THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.
BC is included between ∠B and ∠C.
What is mean by Angle?An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
Given that;
Triangle ABC is shown in figure.
Now, We get;
Side BC is included between ∠B and ∠C.
Thus, BC is included between ∠B and ∠C.
Learn more about the angle visit:;
https://brainly.com/question/25716982
#SPJ7
In Social Studies this year we learned a lot of things like Panama and the Canal. One of the favorite things that I learned this year is The Reconstruction Era. In that lesson, we learned that The Reconstruction era was the period after the American Civil War from 1865 to 1877 and the purpose of the Reconstruction was to help the South become a part of the Union again. My favorite lesson that we learned was How American Indians Viewed Their Environment. That was my favorite lesson because we learned that the natives believed that each part of nature had its own spirit and each person had to maintain a balance with these spirits. In conclusion.......
Answer:
The answer is B.
Find the equation of the line below.
Answer:
D. y = 1/3x
Step-by-step explanation:
The line rises 1 unit up and runs 3 units to the right. The numerator (top) of the fraction, in this case the "rise" (units traveled up or down) of the equation, is 1. The denominator (bottom) of the fraction is 3, representing the "run" (units traveled right or left) of the equation.
Good luck on your test/work, I hope this helped!
George Washington was born on 2-22-1732. He died in 1799 at the age of 67. The month in which he died and the day of the month on which he died are consecutive even integers whose product is 168. When did Washington die? month day year
Answer:
George Washington died on December 14th, 1799
Numerical with the arrangement: month - day - year
12 - 14 - 1799
Step-by-step explanation:
In the question, we are told that: the month in which he died and the day of the month on which he died are consecutive even integers whose product is 168.
Therefore,
If one positive even integer = Month he died is represented by x
The second consecutive even integer = Day he died = x + 2
Their product =
x ( x + 2) = 168
x² + 2x = 168
x² + 2x - 168 = 0
We factorise
x² + 14x - 12x - 168 = 0
(x² + 14x) - (12x - 168) = 0
x(x + 14) - 12(x + 14) = 0
(x - 12)(x + 14) = 0
x - 12 = 0, x = 12
x + 14 = 0 , x = -14
Our answer cannot be a negative interger, hence x = 12
So the first positive even integer = 12
The second positive even integer = x+2 = 12 + 2 = 14
Therefore, the month he died = n = 12th month = December
The day he died = n + 2 = 14 = 14th day.
Hence, George Washington died on December 14th, 1799
Numerical with the arrangement: month - day - year
12 - 14 - 1799
Can someone please help
Answer:
D. Dilation, congruent
Step-by-step explanation:
Dilation is the term used for the increase or decrease in the area of a figure
Answer:
D. Dilation, similar
Step-by-step explanation:
Dilation is making the object larger or smaller.
Rotation is turning the object around a point.
Reflection is reflecting it over a line
Translation is moving the object.
Only dilation is making the object larger. Our answer is D. Dilation, similar because the object is not congruent but similar.
Can someone help me out with this ??
Answer:
1. b > -2
2. x <= 3
Step-by-step explanation:
Question 1:
-2(b + 5) < -6
Divide both sides by -2. Remember to change the inequality sign.
b + 5 > 3
Subtract 5 from both sides.
b > -2
Question 2:
-(x - 10) >= 7
Divide both sides by -1. Remember to change the inequality sign.
x - 10 <= -7
Add 10 to both sides.
x <= 3
(8×1,000)+(6×100)+(2×10)+(4×1)+(3×1/100)
Answer:
8624.03
Step-by-step explanation:
(8×1,000)+(6×100)+(2×10)+(4×1)+(3×1/100)
8000+600+20+4+.03
8624.03
Answer:
8624.03
Step-by-step explanation:
8000 + 600 + 20 + 4 + .03
Five-Pointed Star Logo
1. Use the interactive Spider Tool located on page 1 of this activity to recreate the
five-pointed star logo. Start by asking the spider to move 50 units, rotate 144
degrees, and repeat the sequence until she returns to her starting point. Remember
that you can use "Zoom out" or "Fit to window" if the spider leaves the viewing area.
(To draw the logo with the feet of the star on the bottom, have her rotate 72 degrees,
move 50 units, rotate 144 degrees, and then repeat the sequence until she returns to
her starting point.) In the space below, sketch the five-pointed star logo you created
with the Spider Tool. (4 points)
Answer:
see attached
Step-by-step explanation:
The image on the left in the attachment is created with an initial direction angle of 0°. The image on the right, with both feet at the bottom, is created with an initial direction of 36° (not 72°). An initial rotation of 72° results in an image like the left one, except with the origin at the bottom point.
In each case, the origin is marked with a dot.
The final result is a five-pointed start or a five-pointed start upwards if you rotate 72 degrees rather than 144 degrees the first time.
What is a star?A star is a type of polygon, which means it is a shape with multiple sides. Indeed, five-pointed stars are classified as decagons or polygons with 10 sides but the number of sides varies if the star is six-pointed, ten-pointed star, etc.
How is a five-pointed star created?All stars use lines with specific angles to be created. In the case of five-pointed stars, whcih are the most common the general pattern is:
Use lines of the same lenght and rotate 144° each time.This means that if you follow the instruction you will obtain a five-pointed star.
Learn more about stars in: https://brainly.com/question/24493066
In professional baseball, each team plays 160 games. After playing half their games, team A has won 60 and team B has won 49. If team A wins half of its remaining games, how many of its remaining games must team B win to have the same number of wins as team A?
Based on the figure below, what is the value of x? A right angle is shown divided in two parts. The measure of the angle of one part is 50 degrees and the measure of the other part is 5x plus 15 degrees. 5 7 11 15 Picture for accuracy
Answer:
i hope its clear !
Answer:
5°
Step-by-step explanation: