Answer:
3.5 feet
Step-by-step explanation:
The highest point of the dollhouse will be 2.76 feet.
What is proportion?A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio.
Given that,
The width of house = 29 feet.
And the height of the house = 32 feet.
Also, the width of dollhouse = 2.5 feet
Let the height of the doll is x feet.
To find the value of x,
Use proportion property,
29 / 32 = 2.5 / x
x = (32 × 2.5) / 29
x = 80 / 29
x = 2.758
the height of the doll is 2.76 feet.
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f(x)=3x-1 and g(x)=-2x+5
Answer:
Step-by-step explanation:
5cm
10cm
Q
Q2
Q3
Referring to the diagram above.
if Q1 = 9.0 uC, Q2 = -5.0 uC and Q3 = 32.0 uc,
what is the magnitude of the electric field at Q2, due to Q1 and Q3?
3. Vocabulary Suppose △MNP ∼△RST. How can you identify corresponding parts?
4. Reasoning Suppose △ABC ∼△TUV. Determine whether each pair of measures is equal.
a. the measures of ∠A and ∠T
b. the perimeters of the two triangles
c. the ratios of the sides BC/UV and AC/TV
5. Reasoning e scale of a map is 1 in. : 100 mi. Is the actual distance between two towns 100 times the map distance between the two towns? Explain.
Similar triangles may or may not have congruent sides, but the ratio of the corresponding sides will always be congruent.
(3) Corresponding sides of △MNP and △RST
Given that △MNP ∼△RST.
This means that, the corresponding sides are:
MN and RSMP and RTNP and ST(4) The equal measures
Given that △ABC ∼△TUV
This means that, the corresponding angles are equal, but corresponding sides are not.
So, the equal measures are:
(a). the measures of ∠A and ∠T (c). the ratios of the sides BC/UV and AC/TVThe unequal measure is:
(b). the perimeters of the two triangles(c) Scale mapping
The scale mapping is given as:
[tex]Ratio = 1\ in : 100\ mi[/tex]
The above scale means that 1 inches on the scale represents 100 miles of the actual distance.
Take for instance, 5 inches would represent 500 miles.
500 is 5 times 100
Hence, the actual distance between two towns 100 times the map distance between the two towns
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What is the quotient? -4/5 ÷ 2
To check out a customer, a grocery store cashier needs 2 seconds to scan each item being purchased, as well as 30 seconds to process payment. If it takes 44 seconds to ring up a particular customer, how many items is the customer purchasing?
Answer:
7
Step-by-step explanation:
Let's say the customer has x items. For each item, we add 2 seconds. For 3 items, we need 2 + 2 + 2 = 2*3 seconds. For x items, we need 2 * x seconds. Then, we add the processing payment time of 30 seconds, so for x items, the total amount of time = 30 + 2 * x
Here, the total amount of time is 44, so we have
44 = 30 + 2x
subtract 30 from both sides to isolate the variable and its coefficient
14 = 2x
divide both sides by 2 to isolate x
x = 7
Help help math math
Answer:
y = 1/2x + 3
Step-by-step explanation:
Y= mx+b is slope-intercept form, m is for slope, and b is for my y-intercept. Also remember the pitch is the rise over the run or the y-direction over the x-direction.
In our case, they highlight 2 points to calculate the slope; looking at the graph, we can see it rises one and runs two to get to the second highlighted point at (2,4). And my slope is rise over run, so here it 1/2.
My b or y-intercept is simply three because that is where the line passes over or intercepts the Y-axis
Answer: y = 1/2 x + 3
Step-by-step explanation:
Resuelve la siguiente ecuación lineal: 13-4(5x+1)=3(7-5x)-15
.........................
(15 points) Critique Reasoning Jamie says that the
expressions 6x - 2x + 4 and 4(x + 1) are not
equivalent because one expression has a term
that is subtracted and the other does not. Do
you agree? Explain.
a
Answer:
they are the same
Step-by-step explanation:
6x - 2x + 4 ← collect like terms
= 4x + 4
and
4(x + 1) ← distribute parenthesis by 4
= 4x + 4
The 2 expressions are equivalent to 4x + 4
Answer:
No, Jamie is incorrect
Step-by-step explanation:
No, because in the expression 4(x+1) you will first need to multiply 4 by x, your result is 4x, and then you multiply 4 by 1, you get 4, so the answer will be 4x+4.
Also in the expression 6x-2x+4 ,you will first need to subtract 2x from 6x, your result is 4x ,and then you add 4 , so the answer will be 4x + 4
Our final answer is:
6x-2x+4 = 4x + 4 and 4(x+1) = 4x + 4
Subtract:
(3x^3– 10x^2+ 13x) – (5x^3+ 4x² – 9x)
A. 8x^3 + 14x^2 - 22x
B. 8x^3 - 6x^2 + 4x
C. 2x^3 - 6x^2 - 4x
D. -2x^3 - 14x^2 + 22x
Answer:
D. -2x^3 - 14x^2 + 22x
Step-by-step explanation:
1) Remove parentheses.
3x³ - 10x² + 13x - 5x³ - 4x² + 9x
2) Collect like terms.
(3x³ - 5x³) + (-10x² - 4x²) + (13x + 9x)
3) Simplify.
-2x³ - 14x² + 22x
The constraints of a problem are listed below. What are the vertices of the feasible region?
x+3y<=6
4x+6y>=9
x>=0
y>=0
The vertices of the feasible region of the constraints is (0,2.5)
How to determine the vertices?The constraints are given as:
x + 3y ≤ 6
4x + 6y ≥ 9
x ≥ 0, y ≥ 0
Express the inequalities as equations
x + 3y = 6
4x + 6y = 9
Make x the subject in x + 3y = 6
x = 6 - 3y
Substitute x = 6 - 3y in 4x + 6y = 9
4(6 - 3y) + 6y = 9
Expand
24 - 12y + 6y = 9
Evaluate the like terms
-6y = -15
Divide by 6
y = 2.5
Substitute y = 2.5 in x = 6 - 3y
x = 6 - 3 * 2.5
Evaluate
x = -1.5
So, we have:
(x,y) = (-1.5, 2.5)
Recall that: x ≥ 0, y ≥ 0
This means that the feasible region must have positive coordinates or zero
So, we set x = 0
(x,y) = (0, 2.5)
Hence, the vertices of the feasible region of the constraints is (0,2.5)
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Graph the line that has a slope of 4/3 and contains the point (0,-4)?
Please I need help fast
Answer:
It's attached
Step-by-step explanation:
y=4/3x-4
is the equation for the line
So you just plot the line.
The equation for the given slope and point is y = 4x/3 - 4
What is slope?The slope of a line is a number that describes both the direction and the steepness of the line.
Given that, a line that has a slope of 4/3 and contains the point (0,-4)
The slope intercept of a line is y = mx+c, where m is slope,
Here, m = 4/3, x = 0 and y = -4
Finding for c,
-4 = 4/3x0+c
c = -4
Establishing the equation,
y = 4x/3-4
Now plotting the graph,
(Attached)
Hence, the graph will pass through the points (3,0) and (0,-4)
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HELP ASAP! TYSM IF U DO, WILL GIVE BRAINILEST!
its d becuase i used math-way
Step-by-step explanation:
b
=
4
Answer:
Option DStep-by-step explanation:
Given equation:
b - 12 = - 8Add 12 to both sides:
b - 12 + 12 = - 8 + 12b = 4Correct graph is D, where point 4 is marked
What is the value of x in the equation 8+4 = 2(x-1)2
O 5
11
o
2
끌
o
13
2
O 7
Step-by-step explanation:
→ 8 + 4 = 2(x -1)
→ 12 = 2x - 2
→ 2x - 2 = 12
→ 2x = 12 + 2 = 14
→ x = 14/2 = 7
→ x = 7
hence, option D (7) is correct.
Hope this answer helps you dear ! take care
How do you find the slope of a line given any 2 points on the line
Answer:
rise over run
Step-by-step explanation:
you look at the distance between the 2 points by looking at how many points its goes up or down, and you look at how points it goes from the left to the right or vice versa. but if you don't have a graph to look at, you will want to use the slope formula. look up the slope formula and plug it in.
Answer:
Step-by-step explanation:
From the point one on the graph, you go up (rise) making loops each time you go up (shown in red) then, once you've reached the same hight of point two, you go over (run), making loops once again (shown in blue). Then, you take the rise and put it over the run, so in the image attached it would be 4/3.
Sue has 100 dimes and quarters. If the total value of the coins is &21.40, how many of each kind of coin does she have?
Answer:
Let x be the number of dimes and y the number of quarters
x +y = 100
a dime is $0.10 and a quarter is $0.25
0.1x + 0.25y = 21.40 multiply by 100 to remove the decimals
10x + 25y = 2140, From the first equation y = 100 - x and plug it in to the second equation.
10x + 25(100 -x) = 2140
10x + 2500 - 25x =2140
2500 - 15x = 2140
360 = 15x x = 24 and y = 76
There are 24 dimes and 76 quarters
Answer:
76 Quarters = $19.00
24 Dimes = $2.40
$19.00 + $2.40 = $21.40
Step-by-step explanation:
Yaga
Choose the function that the graph represents.
Click on the correct answer.
Answer:
y=log_2 (x)
Step-by-step explanation:
We see that the graph passes though the point (2,1). So we can write:
log_a (2) = 1 => a = 2
So it's a log in base 2.
Find the equation of a line that passes through the points (1,-2) and (3,-4). Express your final answer in slope-intercept form.
[tex]\text{Given that,}\\\\(x_1,y_1) = (1,-2)~~ \text{and}~~ (x_2,y_2) = (3,-4)\\\\\text{Slope,}~ m= \dfrac{y_2-y_1}{x_2 -x_1} = \dfrac{-4+2}{3-1} = -\dfrac 22 = -1\\\\\text{Equation with given points,}\\\\y-y_1 = m(x-x_1)\\\\\implies y +2 = -1(x-1)\\\\\implies y = -x+1 -2\\\\\implies y = -x-1\\\\\text{This is the slope-intercept form(y =mx+b).}[/tex]
Answer:
y=-x-1
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-4-(-2))/(3-1)
m=(-4+2)/2
m=-2/2
m=-1
y-y1=m(x-x1)
y-(-2)=-1(x-1)
y+2=-x+1
y=-x+1-2
y=-x-1
Please answer. I will give brainliest to the best answer
Answer:
b
Step-by-step explanation:
took the test a bit ago
25% of Santa's 9 reindeer were playing reindeer games. How many of Santa's reindeer were NOT playing reindeer
games?
Answer:
75%, or 7
Step-by-step explanation:
100-25=75
75% of 9 is 6.75 (because 9x0.75)
so we can round to 7, unless there's a decapitated reindeer involved
Answer: 6.75
Step-by-step explanation:
for this math problem we need to find the percentage and subtract that from the original number ( 9 ) . . .
what is 25% if 9 ? 2.25
what is 9 - 2.25 ? 6.75
Identify the explicit formula for the sequence given by the following recursive formula:
(see picture below)
A) f(n) = 2 – 4(n – 1)
B) f(n) = –4 + 2(n – 1)
C) f(n) = 4 – 2(n – 1)
D) f(n) = –2 + 4(n – 1)
If f(n) = f(n - 1) + 4, then
f(n - 1) = f(n - 2) + 4
and substituting this into the first equation gives
f(n) = f(n - 2) + 2•4
Similarly,
f(n - 2) = f(n - 3) + 4
so that
f(n) = f(n - 3) + 3•4
and so on.
Note the pattern:
f(n) = f(n - k) + k•4
so that when k = n - 1, we have
f(n) = f(n - (n - 1)) + (n - 1)•4
or
f(n) = f(1) + 4 (n - 1)
so that
[D] f(n) = -2 + 4 (n - 1)
need this soon please
Answer: pretty sure -7
Step-by-step explanation:
Answer:
-7
Step-by-step explanation:
(-80) - (-10) is -79
-70 / (+10) = -7
Find the following:
sin A
cos A
tan A
cot A
sec A
csc A
Step-by-step explanation:
we use the law of sine :
sin(A)/a = sin(B)/b = sin(C)/c
with the related angles being opposite of the lines.
so, we have
sin(A)/1 = sin(A) = sin(90)/ sqrt(10) = 1/ sqrt(10) =
= 0.316227766...
cos²(A) + sin²(A) = 1
cos(A) = sqrt(1 - sin²(A)) = sqrt(1 - 0.1)) = sqrt(0.9) =
= 0.948683298...
tan(A) = sin(A)/cos(A) = 0.333333333...
cot(A) = 1/tan(A) = 3
sec(A) = 1/cos(A) = 1.054092553...
csc(A) = 1/sin(A) = 3.16227766...
3 peaches cost $0.99. At this rate, how much will 5 peaches cost?
0.99 /3 = 0.33 per peach
0.33 per peach x 5 peaches = 1.65 total
Answer: $1.65
Answer:
1.65
Step-by-step explanation:
2m>30
what is the answer to this
Answer:
m>15
Step-by-step explanation:
Divide both sides by 2
Hello there! :-)
This is a one-step inequality, which means we can solve it in one step.
The goal is to find m.
To isolate m, we divide both sides by 2:
m>15
Remember to divide both sides by 2.
Therefore, m>15 (this means m is greater than 15)
Hope it helps. Use the comment section to clarify your doubts.
Answered by
~A felicitous teen who helps others :-)
Good luck with your studies. :)
Can somebody please help me with this true or false algebra 1 question?
A relation that pairs each input with exactly one output is a function.
True or False
I'll help.
The answer to your question is True!!
16,40 and 56 LCM
Solve this problem
Answer:
LCM = 2^4 x 5^1 x 7^1 = 560
Step-by-step explanation:
I hope this helps you !!in the given figure ,o is the centr of the circle, ab is the diameter and do is perpendicular to ab. prove that angle AEC= ANGLE ODA
The given triangles ΔDOA and ΔABC are right triangles that have a
common vertex at point A.
ΔDOA is similar to ΔABC, and ∠AEC is equal to ∠ABC, therefore, ∠AEC = ∠ODAReasons:
The given parameters are;
The diameter of the circle with center O = AB
DO ⊥ AB (DO is perpendicular to AB)
Required:
Prove that ∠AEC = ∠ODA
A two column proof is presented as follows;
Statement [tex]{}[/tex] Reason
1. AB is the diameter of circle [tex]{}[/tex] 1. Given
2. DO is perpendicular to AB [tex]{}[/tex] 2. Given
3. ∠DOA = 90° [tex]{}[/tex] 3. Definition of DO ⊥ AB
4. ∠BCA = 90° [tex]{}[/tex] 4. Thales theorem
5. ∠BCA ≅ ∠BCA [tex]{}[/tex] 5. Reflexive property
6. ΔDOA ~ ΔABC [tex]{}[/tex] 6. AA similarity postulate
7. ∠ABC ≅ ∠ODA [tex]{}[/tex] 7. CASTC
8. ∠ABC = ∠ODA [tex]{}[/tex] 8. Definition of congruency
9. ∠AEC ≅ ∠ABC [tex]{}[/tex] 9. Angles in the same segment
10. ∠AEC = ∠ABC [tex]{}[/tex] 10. Definition of congruency
11. ∠AEC = ∠ODA [tex]{}[/tex] 11. Transitive property of equality
In statement 6, ΔDOA is similar to ΔABC by Angle-Angle, AA, similarity
postulate, therefore, the three angles of ΔDOA are congruent to the three
angles of ΔABC.
Therefore ∠ABC ≅ ∠ODA by Corresponding Angles of Similar Triangles
are Congruent, CASTC.
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Helpppp pleaseeee ????
Answer:
LQ = 54
Median = 69
UQ = 94
Step-by-step explanation:
This list is already sorted for you, so you don't need to worry about that, otherwise you would need to sort the numbers in ascending order. To find the median, we do [tex]\frac{n+1}{2}[/tex], where n is the amount of numbers. This gives us 4, so the median is at position 4, so the median is 69. The lower quartile is simply [tex]\frac{n+1}{4}[/tex], so 2, so the lower quartile is 54. The upper quartile is [tex]\frac{n+1}{2} X 3[/tex], so 6, so the upper quartile is 94.
58. What is the equation that best represents the graph (0,5) (3, 3) (6, 1)
The component form of vector vec w is vec w =(-25,10); Find- 1 5 vec w
Answer:
Let’s take a point each on the x, y, and z-axis as follows:
A (1, 0, 0) on x-axis
B (0, 1, 0) on y-axis and
C (0, 0, 1) on z-axis
unit vector
So, we have
|OA→| = 1 , |OB→| = 1, and |OC→| = 1
These vectors OA→, OB→, and OC→, each having magnitude 1 are Unit Vectors along the axes OX, OY, and OZ respectively. They are denoted by i⃗ , j⃗ , and k⃗ as shown in Fig. 1 above.
Step-by-step explanation: