Alexander is drawing a map of the Federal Triangle in Washington, D.C. The actual Federal Triangle has a base of 30 feet and height of 1200 feet. Alexander needs his drawing to fit on his paper, so he decides to make the base of his triangle 10 inches. What scale is Alexander using?
Answer:
Step-by-step explanation:
First let's figure out the scale Alexander is using by relating the base in his drawing 10 in/3000 ft = 1 in/300 ft
The scale for the drawing is 1 in:300 ft.
We know the actual Federal Triangle has a height of 1200 ft Let's use the scale to find the height of Alexander's triangle.
1200 ft times 1 in/300 ft = 4 in.
Alexander is using a scale of 1 in: 300 ft.His triangle has a height of 4 in.
-x - 6y - z = -11 3x - 5y - 3z = 23 3x + 5y + 4z = 1
Frank wants to earn as many points as possible in one turn in a game. Two number cubes whose
sides are numbered 1 through 6 are rolled. He is given two options for the manner in which points
are awarded in the turn.
OPTION A. If the sum of the rolls is a prime number, Frank receives 12 points
OPTION B. If the sum of the rolls is a multiple of 4. Frank receives 24 points
Which statement best explains the option he should choose?
Will give brainliest!!!
Answer:
Frank should choose Option B. The mathematical expectation of this option is 6 and is the greater mathematical expectation of the two options.
Step-by-step explanation:
Answer: If the sum of the rolls is a multiple of 4. Frank receives 24 points
Which statement best explains the option he should choose?
Step-by-step explanation:
Test
Paula and her dad went ice-fishing this winter. They caught 7 total fish, including 5 trout.
If on the last day of the trip, Paula randomly selected 4 fish to donate to fishermen who
hadn't caught any fish that day, what is the probability that all of them are trout?
Write your answer as a decimal rounded to four decimal places.
Answer:
.7143
Step-by-step explanation:
there are 5 trouts so 5/7
Find i’ll mark brainly
Answer:
48 units ^2
Step-by-step explanation:
The area of a trapezoid is given by
A = 1/2 (b1+b2) *h
where b1 and b2 are the lengths of the bases and h is the height
b1 = AT = 4*2 = 8 units ( watch the scale)
b2 = SR = 2*2 = 4 units ( watch the scale)
h = The line that S is at the to line that T is at along the x axis
= 4*2 = 8 units ( watch the scale)
A = 1/2 ( 8+4) * 8
= 1/2 *12*8
= 48 units ^2
Answer:
48 units²
Step-by-step explanation:
ARST is a trapezoid
1 block = 2 units
½ × (4 + 8) × 8
48 units²
Which graph is the solution to the inequality?
Answer:
A
Step-by-step explanation:
1) subtract 2 from both sides:
-3x≤12
x≥-4(sign flips since we divided by a negative)
so the graph would be A
since "the equal to" means its a closed circle
Hope this helps!
Answer:
B,A,C
Step-by-step explanation:
Find the difference.
(6x +9) - (7x+1) =
Answer:-x+8
Step-by-step explanation:
So in this case we have to combine alike variables for this question.
(6x+9)-(7x+1)
-9 -9
6x-7x+-8
We had to isolate in this case thats why both alike terms were getting subtracted by 9.
Then we just combining 6x-7x since they are alike terms.
-1x+8
-1x and -x are the same thing but if you want to make it more complex, the real answer is -x+8
(I hope you find this helpful ;w;)
Answer:
-x+8
Step-by-step explanation:
Help two helpless triangles?
Answer:
see below
Step-by-step explanation:
Angle ACE = DCE since they are vertical angles
Angle A = Angle E parallel lines cut by a transversal form congruent alternate interior angles
Angle B = Angle D parallel lines cut by a transversal form congruent alternate interior angles
When all three angles are equal, the triangles are similar.
We can use ratios to find DE
DE CE
------- = ----------
AB AC
DE 8
------- = ----------
12 10
Using cross products
10 DE = 8*12
10 DE = 96
Divide by 10
DE = 9.6
Answer:
1) they are similar by AAA postulate
2) 9.6 cm
Explanation:
Triangles CAB and CED are similar
because:
1) both have the same angle C
(vertically opposite angles)
2) Angle A = Angle E
(alternate angles)
3) Angle B = Angle D
(alternate angles)
CA/CE = AB/ED
10/8 = 12/DE
DE = 12 × 8/10
DE = 9.6 cm
Find the surface area of the figure.
A) 136 in2
B) 224 in2
C) 236 in2
D) 248 in2
worth 20 points
Carter made a scale drawing of a house and its lot. In real life, the backyard is 63 feet long. It is
21 inches long in the drawing. What scale did Carter use for the drawing?
1 inch :
feet
Answer: what is the question??
Step-by-step explanation:
What is the mode of the following numbers?
3,5,6,7,9,6,8
Answer:
6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
In this set of numbers 6 is the number that is most often seen
3a + b = 7
and
6x + 8y = 40
Show that 9a + 3b has a greater value than 3x + 4y
ANYONE HELP PLS
Answer:
3a + b = 7
6x + 8y = 40
9a + 3b is 3*(3a + b) or 7*3 = 21
3x + 4y is (6x + 8y) /3 = 40 / 3 ≅ 13.3
So now we know that 9a + 3b = 21 and 3x + 4y = 13.3 which means that it is greater because 21 > 13.3
If the diameter of the semicircle is 1.7 centimeters, what is the circumference of the semicircle?
To solve this you need to use this formula: 1/2Pi x D
So we can multiply 0.5 x 3.14 x 1.7
Your answer is 2.669
Jeff has $20. He spent 1/8 of his money on lunch and 2/5 of his money at the movies. How much money does Jeff have left?
A. $5.50
B. $7.00
C. $8.25
D. $9.50
Answer:
D. $9.50
Step-by-step explanation:
In total, Jeff spends 21/40 of his money. (1/8+2/5=21/40)
He has 19/40 left.
19/40*20=380/40=9.5
First, let's put 2/5 and 1/8 into similar fractions, in that they have the same denominator.
2/5 = 16/40
1/8 = 5/40
Then, we'll add the fractions together.
16/40 + 5/40 = 21/40
So, Jeff spent 21/40 of his money. We can set up a proportion to find the amount that Jeff spent.
x/20 = 21/40
420 = 40x
x = 10.50
Finally, we'll subtract the amount that Jeff spent from the original amount.
20 - 10.50 = 9.50
Jeff has D. $9.50 left.
Hope this helps!! :)
If x negative squared = 16, what is the value of x squared?
A. 1/16
B. 1/4
C. 2
D. 4
E. 12
Answer:
Step-by-step explanation:
[tex]x^{-2}=16\\\\\frac{1}{x^{2}}=16\\\\[/tex]
Cross multiplication,
[tex]1=16x^{2}\\\\\frac{1}{16}=x^{2}[/tex]
Find the weight of the metal gate. I need help finding another to prove it weighs 42.5kl as you will see it is incomplete.
Answer:
150 kg
Step-by-step explanation:
The diagonal Piece: √5²+12² = 13
6 pieces: 5, 12, 5, 12, 13, 13
Total length: 2 x(5 + 12 + 13) = 60
Total weight: 60 x 2.5 = 150 kg
Answer:
150 kg
Step-by-step explanation:
The length of the diagonal:
sqrt(12² + 5²)
sqrt(169)
13
Total length:
2(13 + 12 + 5)
2(30)
60m
Mass;
60 × 2.5
150 kg
Which of the following is a solution of the inequality h + 9 <20?
A. 13
B. 12
c. 11
D. 10
Answer:
D.10
Step-by-step explanation:
if you just add the other numbers in place of variable h
13+9=22
12+9=21
11+9=20
10+9=19
only one addition problem adds up to a sum below 20 that being 10 so the answer is D
Please please answer this correctly I have to finish this today as soon as possible
Answer:
Step-by-step explanation:
Look at where -2 is on the x-axis (the left side of the horizontal line), and go another half a box in, that is -2.5. But then go down one box from there, and plot the point. that is (-2.5,-1).
Next go half a box to the right and two boxes up, and plot your point there. that is (.5,2).
If 24% of the sixth grade class is in Mrs. White's class, and Mrs. White has
30 students, how many sixth graders are there in all?
Answer:
let,there are x sixth graders
then,
24% of x=30
or,24/100×x=30
or,6x/25=30
or,x=(30×25)/6
therefore,
x=125
HOPE IT HELPS
What is the value of (5.3 times 10^4) (4.2 times 10^3) in scientific notation?
A 2.226 times 10^6
B 22.26 times 10^7
C 2.226 times 10^8
D 22.26 times 10^12
Answer:
C 2.226 times 10^8
Step-by-step explanation:
5.3* 10^4 * 4.2 * 10^3
We multiply the numbers out front
5.3* 4.2 =22.26
We add the exponents
10^(4+3) = 10^7
22.26*10^7
But we are not done yet because The number out front has to be between 1 and less than 10
Move the decimal 1 place to the left and add 1 to the exponent
2.226 * 10 ^(7+1)
2.226*10^8
Answer:
C
Step-by-step explanation:
(5.3 times 10^4) (4.2 times 10^3)
5.3 × 4.2 × 10⁴ × 10³
22.26 × 10⁷
2.226 × 10⁸
What is the solution system y=2/3x-2 y=-x+3
Answer:
x = 3 , y = 0
Step-by-step explanation:
Solve the following system:
{y = (2 x)/3 - 2 | (equation 1)
y = 3 - x | (equation 2)
Express the system in standard form:
{-(2 x)/3 + y = -2 | (equation 1)
x + y = 3 | (equation 2)
Swap equation 1 with equation 2:
{x + y = 3 | (equation 1)
-(2 x)/3 + y = -2 | (equation 2)
Add 2/3 × (equation 1) to equation 2:
{x + y = 3 | (equation 1)
0 x+(5 y)/3 = 0 | (equation 2)
Multiply equation 2 by 3/5:
{x + y = 3 | (equation 1)
0 x+y = 0 | (equation 2)
Subtract equation 2 from equation 1:
{x+0 y = 3 | (equation 1)
0 x+y = 0 | (equation 2)
Collect results:
Answer: {x = 3 , y = 0
To solve the given system of equations, we can use the method of substitution. After obtaining the value of x, we can substitute it back into one of the original equations to solve for y. The solution to the system is x = 3 and y = 0.
Explanation:The given system of equations is:
y = \frac{2}{3}x - 2
y = -x + 3
To solve this system, we can use the method of substitution. We can rearrange the second equation to solve for y:
y = -x + 3
Now, substitute this value of y into the first equation:
\frac{2}{3}x - 2 = -x + 3
Add x to both sides:
\frac{2}{3}x + x - 2 = 3
Multiply both sides by 3 to eliminate the fraction:
2x + 3x - 6 = 9
Combine like terms:
5x - 6 = 9
Add 6 to both sides:
5x = 15
Divide both sides by 5:
x = 3
Now, substitute the value of x back into one of the original equations to solve for y:
y = -x + 3
y = -3 + 3
y = 0
Therefore, the solution to the system of equations is x = 3 and y = 0.
Learn more about Systems of Equations here:https://brainly.com/question/35467992
#SPJ3
A translation moves point V(-2, 3) to V-2,7). Which are true statements about the translation?
1. The point moves two units left and four units up.
2.The transformation rule is (x,y) = (x+0.7+4).
3.The transformation is a vertical translation.
4.The image is four units to the left of the pre-image.
5.The translation can be described as (x, y) = (x-2, Y+7).
Answer:
2. The transformation rule is (x, y) -> (x + 0, y + 4).
Step-by-step explanation:
The true statements about the translation are:
2. The transformation rule is (x,y) = (x+0.7+4).
3. The transformation is a vertical translation.
The vertices are given as:
V(-2, 3) to V-2,7)
From the above vertices, we have the following transformation rule
(x,y) = (x+0.7+4).
Notice that the x-coordinate remains unchanged,
This means that the transformation is a vertical translation.
Hence, the true statements about the translation are: (2) and (3)
Read more about translation at:
https://brainly.com/question/11468584
Elise is going to solve the equation shown below. Which of the following statements are correct?
X/8 = 12.5
A. Elise should subtract 8 from both sides.
B. Elise should divide both sides by 8.
C. Elise should multiply both sides by 8.
D. Elise should subtract 12.5 from both sides.
Answer:
C. Elise should multiply both sides by 8.
Step-by-step explanation:
We need to undo what is being done to x
We are dividing x by 8, so to undo it we do the opposite.
The opposite of dividing is multiplication.
We multiply each side of the equation by 8
8 into 6482 what is the placement value
Answer:
It is 80.
Step-by-step explanation:
It's pretty simple-> Thousands, Hundreds, Tens, Ones.
Answer:
The tens place
Step-by-step explanation:
place values:
6000
400
80
2
A graph has time (years) on the x-axis and height (inches) on the y-axis. A line goes through points (2, 3) and (4, 6).
The graph shows a linear relationship between the height and years of a plant’s growth. Find the rate of change. Select all that apply.
The rate of change of a linear function is always the same.
The rate of change of a linear function increases as the input increases.
The rate of change from 2 years to 4 years on the graph is 1.5 inches per year.
The rate of change from 0 years to 6 years on the graph is 1.5 inches per year.
Answer:
A, C, and D
Step-by-step explanation:
The rate of change will simply be the slope of the line, which we can find by taking the change in y and dividing that by the change in x:
slope = [tex]\frac{6-3}{4-2} =\frac{3}{2}[/tex]
Thus, the slope is 3/2 = 1.5.
Since the slope remains constant throughout the graph, we know that A is correct. In addition because the points 0, 2, 4, and 6 are on the graph, the rate of change between any of the two points will still be the constant 1.5, making C and D correct as well.
So, we can choose A, C, and D.
Hope this helps!
Answer:
The rate of change of a linear function is always the same.
The rate of change from 2 years to 4 years on the graph is 1.5 inches per year.
The rate of change from 0 years to 6 years on the graph is 1.5 inches per year.
Step-by-step explanation:
Slope = rate = (6 - 3)/(4 - 2) = 3/2
Slope of a straight line is constant hence the rate of change is also constant
A pile of earth removed from an excavation is a cone measuring 9 ft high and 24 ft across its base. How many trips will it take to haul away the earth using a dump truck with a capacity of 9 cubic yards?
Answer: It would take 6 trips
Step-by-step explanation: The pile of earth has formed into a cone with the following dimensions, height is 9 feet and base diameter is 24 feet across.
However the haulage truck has its capacity measured in yards, and so we use a standard rate of conversion of yards to feet and vice versa. The standard rate is;
1 Yard = 3 Feet
Hence, the height of the pile of earth an now be given as;
h yards = 9/3
h yards = 3
height = 3 yards
Similarly, the the base of the pile of earth can be calculated as;
(Note that the radius is derived as diameter divided by 2, that is 24/2)
r yards = 12/3
r yards = 4
radius = 4 yards
The volume of a cone is given as;
Volume = πr²h/3
Volume = 3.14 x 4² x (3/3)
Volume = 3.14 x 16
Volume = 50.24 cubic yards
For a haulage truck that can haul 9 cubic yards per trip, the total number of trips required to haul the entire volume of dirt is given as follows;
No of trips = 50.24 ÷ 9
No of trips = 5.5822
No of trips ≈ 6
Therefore it would take the truck 6 trips to haul the entire pile of earth.
Answer:
6 trips
Step-by-step explanation:
Solve for x -10x=-200
Answer:
x = 20
Explanation:
Let's solve your equation step-by-step.
−10x = −200
Step 1: Divide both sides by -10.
−10x /−10 = −200 /−10
x = 20
Answer:
x = 20
Step-by-step explanation:
-10x=-200
x = -200/ -10
x = 20
You start a search for a buried object by marking the center of a field as (0, 0), with
coordinates giving distances in yards. Coordinates to the north or east are positive, and
coordinates to the south or west are negative. You find nothing at (–10, 6), so you try a likely
looking spot 3 yards to the east and 12 yards to the south of the first spot. What are the
coordinates of the second spot?
(–7, –6)
(12, –6)
(–13, –9)
(5, –3)
Answer:
(-7,-6)
Step-by-step explanation:
-10 + 3 = -7
6 - 12 = -6
(-7,-6)
Tree is 4.5 feet tall plum tree is 3/4 foot taller . How y’all is the plum tree
Answer:
7.875 (not sure what your unit is but include it here)
Step-by-step explanation:
3/4 of 4.5 is 3.375
3.375+4.5=7.875
Circle
has a circumference of 367 cm.
What is the length of the radius, ?
O
6 cm
18 cm
Save and Exit
Next
Submit
Answer:
r≈58.41cm
hope i helped
if i can have brainliest that would be great
Answer:
6 cm
Step-by-step explanation:
circumference = 3.14 times the diameter, which is half of the radius.
I think you meant 36.7 cm
if you divide 36.7 by 3.14, you get the diameter (11.687). half of that is 5.843cm.
the closest to that is 6cm