For exercises 5-6, suppose you are making a scale drawing. Find the length of each object on the scale drawing with the given scale. 5) A parking lot 460 meters wide; 1 centimeter = 16.5 meters. 6) A desk 7.5 feet long; 1.5 inches = 0.5 feet.
Answer:
8 88 cm
5.625 inches
Step-by-step explanation:
The length scale drawing of the given object :
5) A parking lot 460 meters wide;
1 centimeter = 16.5 meters.
1 cm on the drawing is equivalent to 16.5 m on ground
Hence, using cross multiplication :
If :
1 cm = 16.5 m
x = 460 m
Cross multiply :
16.5x = 460 * 1
x = 460 / 16.5
x = 8.88 cm
6) A desk 7.5 feet long; .
Scale = 1.5 inches = 0.5 feet
1.5 inches on map is equivalent to 0.5 feets on ground
1.5 inch = 0.5ft
x in = 7.5 feets
Using cross multiplication
0.5x = 1.5 * 7.5
0.5x = 11.25
x = 11.25 / 0.5
x = 5.625 inches
PLS HELP PLS The pair of triangles below have two corresponding parts marked as congruent. What additional information is needed for a ASA congruence correspondence?
A. ∠N≅∠M
B. ∠A≅∠M
C. ∠A≅∠O
D. AN¯¯¯≅OM¯¯
Answer:
A
sinse its side angle side so the angle beside the side is second
hope it helps
Step-by-step explanation:
The additional information which needed for a ASA congruence correspondence is angle N is congruent to angle M
What is ASA congruency rule?If any two angles and side included between the angles of one triangle are equivalent to the corresponding two angles and side included between the angles of the second triangle.
According to the given question.
We have two triangle NDA and MTO in which
m ∠NDA = m ∠MTO
and NA = MT
Now, according to ASA congruency rule
NA = MT
if m ∠DNA = m ∠TMO
Therefore, the additional information which needed for a ASA congruence correspondence is angle N is congruent to angle M.
Thus, option A is correct.
Find out more information about ASA congruency rule here:
https://brainly.com/question/2848632
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Which relationship has a zero slope? A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 2, 2, 2, 2. A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 3, 1, negative 1, negative 3. A coordinate plane with a straight line starting at (negative 5, negative 5) and passing through the origin, and ending at (5, 5) A coordinate plane with a straight line starting iat (negative 2, 5) and passing the x-axis at (negative 2, 0), and ending at (negative 2, 5). Mark this and return Save and Exit
Answer:
Table 1
Step-by-step explanation:
The slope of a line (m) passing through two points A(x₁, y₁) and B(x₂, y₂) is given by:
m = (y₂ - y₁) / (x₂ - x₁)
a) From table 1, we can select two points. Let us select point (-3, 2) and point (1, 2). Hence the slope is:
[tex]m=\frac{2-2}{1-(-3)}=0[/tex]
b) From table 2, we can select two points. Let us select point (-3, 3) and point (1, -1). Hence the slope is:
[tex]m=\frac{-1-3}{1-(-3)}=-1[/tex]
c) The graph passes through point (0, 0) and (3,3). Hence:
[tex]m=\frac{3-0}{3-0}=1[/tex]
d) The graph passes through point (-2, 4) and (-2,0). Hence:
[tex]m=\frac{0-4}{-2-(-2)}=\infty[/tex]
ANSWER QUICKLY PLEASE AND THANK YOU!!!
Answer:
2,3
Step-by-step explanation:
Two numbers have prime factorizations of 2^2 x 3^2 x 5 and 2 x 3 x 5. Which expression can be used to find their least common multiple
Answer: 2^2 x 3^2 x 5
You can use a star symbol * in place of the x symbols.
==================================================
Explanation:
We simply circle the primes where they have the largest exponent.
The unique primes listed here are: 2, 3, 5
The prime 2 has the highest exponent of 2, meaning 2^2 is part of the answer.The prime 3 has the highest exponent of 2, meaning 3^2 is also part of the LCMThe prime 5, without any exponent, is also part of the LCM. We can write this as 5^1 or just leave it as 5.-31,-22,-33 find the 35th term
Answer:
easy bro go and use m-a-t-h w-a-y
Step-by-step explanation:
it's going to help
what is the slope of a line perpendicular to the line whose equation is x-3y=-27
Use the table to answer the question.
The school cafeteria surveys random students about their favorite food and records the data in the table. If there are 530 students in the school, approximately how many would be expected to choose chicken nuggets?
a. 16 students
b. 40 students
c. 80 students
d. 106 students
Answer:
in the survey, 16 out of 80 students who where asked favored chicken nuggets.
so we need to calculate like this:
530 * 16/80
=530 * 1/5
=530/5
=106
hope this helps your understanding, wish you good grades
35 points. Brainliest gets double the points.
a sum of money was equally distributed among some boys
had there been 10 boys more
Answer:
I think I know what question you are trying to write because it sounds like the question I did years ago.
It is Rs 200
Step-by-step explanation:
Your welcome! :)
Solve the system of equations below.
X-2y=3
2x - 3y=9
Answer:
(9,3)
Step-by-step explanation:
Hope this helps
15 points I really need help with this!! And please have work not just the answer!! No links please!!
Answer:
16(sin 30degrees) = BC
BC = 8
The Chang family is on their way home from a cross-country road trip. During the trip, the function D (t) = 3260 - 55t can be used to model
their distance, in miles, from home after t hours of driving.
part a:find D(12) and interpret the meaning in the context of the problem. part b: if D(t) =2490, find the value of t and interpret its meaning in the context of the problem
Answer:
See below.
Step-by-step explanation:
D(t) = 3260 - 55t
The function that shows their distance from home as a function of time shows that they started 3260 miles from home and are driving at 55 miles per hour.
part a:
D(12) = 3260 55(12)
D(12) = 3260 - 660
D(12) = 2600
Interpretation: After 12 hours of driving home, they are 2600 miles from home.
part b:
D(t) = 2490
3260 - 55t = 2490
-55t = -770
t = 14
Interpretation: When they are 2490 miles from home, they have driven for 14 hours.
Sprint was sell Iphones. They sold 100 phones. They sold each phone for $200. But, they got the phones on discount for $50 each from the Iphone company. How much did they collect/make? How much were their expenses? How much was their profit?
Answer:
How much they make = 20,000
Expenses = 15,000
Profit = 5,000
Step-by-step explanation:
Well this question isn't very clear since it didn't state what the original cost for one iphone is. I think they are assuming one iphone to be 200 dollars or the sold amount, but this information is not directly stated. Anyways....
How much they make 100x200 = 20,000
Expenses 100(200-50) = 15,000
Profit 20,000 - 15,000 = 5,000
What is 5/2x + 2y = 5
Answer:
y= -x+1/2
Step-by-step explanation:
give reasons. 1. good quality electric wires are made of copper 2. zinc is coated on iron objects 3. aluminum is used in building ship 4. a copper bowl loses lustre after some time.
Answer:
Each copper atom has lost one electron and become a positive ion. ... The electrons can move freely through the metal. For this reason, they are known as free electrons. They are also known as conduction electrons, because they help copper to be a good conductor of heat and electricity. The zinc layer stops oxygen and water reaching the iron. Zinc is more reactive than iron, so it also acts as a sacrificial metal. This protection works, even if the zinc layer is scratched. Aluminium is the most commonly used and commercially available metal. Its alloys generally that have excellent corrosion resistance, good workability (machinability) and good to excellent weldability, are often used in marine applications (marine grade aluminum).It is because the copper metal is very reactive with air and so it reacts with atmospheric oxygen to form Copper Oxide which is impervious and thick so it protects the metal from rusting and corrosion in future and also its luster is decreased as copper oxide is dull in colour:)
whats the ratio of 32:40
Answer:
4:5
Step-by-step explanation:
32:40
=>32/40
=>diving numerator and denominator by 8
=>4/5
=>4:5
Answer: 4:5
Step-by-step explanation:
32 and 40 share a common factor of 8. We can divide both of them by 8 so that the ratio stays the same value and it'll be in it's simplest form.
[tex]\frac{32}{8} =4\\\frac{40}{8} =5[/tex]
4:5 is the final answer.
56:05
What is the equation of the line that is parallel to the
given line and passes through the point (-4,-6 )?
O x= -6
=)
O x=-4
O y = -6
O y = -4
10 x
(-4×-6) =-24÷6=4
24÷4=6. x=4. x=6
Does this graph represent a function? Why or why not?
A. No, because it is not a straight line.
B. Yes, because it is a curved line.
C. Yes, because it passes the vertical line test.
D. No, because it fails the vertical line test.
Answer:
c
Step-by-step explanation:
Hey im confused on how to solve this. Can Anyone help me?
Answer:
The minimum unit cost is $9374.
Step-by-step explanation:
The unit cost C for making x engines is given by the quadratic function:
[tex]C(x)=0.3x^2-162x+31244[/tex]
We want to determine the minimum unit cost.
Since this is a quadratic function with a positive leading coefficient, the minimum value will be its vertex. The vertex of a quadratic can be found using the following formulas:
[tex]\displaystyle \text{Vertex}=\left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)[/tex]
In this case, a = 0.3, b = -162, and c = 31244.
Find the x-coordinate of the vertex:
[tex]\displaystyle x=-\frac{(-162)}{2(0.3)}=\frac{162}{0.6}=270[/tex]
In other words, in order to achieve the minimum cost, only 270 engines must be made.
Then to find the minimum cost, substitute the value back into the function. So:
[tex]C(270)=0.3(270)^2-162(270)+31244=\$ 9374[/tex]
The minimum unit cost is $9374.
Which describes the graph of y=-(x + 5)2 + 3?
A. Minimum at (-5,3)
B. Maximum at (5,3)
C. Minimum at (5,3)
D. Maximum at (-5,3)
Answer:
D
Step-by-step explanation:
Since there is a negative sign, the graph is a n shaped quadratic curve and hence, there can only be maximum point. Hence we can eliminate A and C.
For a curve in the completing the square form y = (x+a)²+b, the turning points are (-a,b). Hence in this case, turning point is at (-5, 3).
Hence the correct option is D
Answer:
D
Step-by-step explanation:
Is 3x – 1= 7 and
3x = 8 equivalent
Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
Take the 1st equation & solve it :-
[tex]3x - 1 = 7 \\ 3x = 7 + 1 \\ 3x = 8[/tex]
Now, take the second equation :-
[tex]3x = 8[/tex]
[You can't further solve this equation]
So, from the 2 solved equations we can see that,
[tex]\large\bold{3x = 8 \ is \ equivalent \ (=) \ 3x = 8 }[/tex]
✐ The answer will be ⇻ Yes, 3x – 1= 7 and 3x = 8 are equivalent to each other.
____________________
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
# ꧁❣ RainbowSalt2²2² ࿐
Becky says that when she simplifies the following expression, the value is 6 less than her age. What is Becky's age? (7+11) - 8÷2 *
20
14
26
11
Answer:
Becky's age is equal to 20.
Step-by-step explanation:
The given expression is :
(7+11)-(8÷2)
Using Bodmas rule to solve it furthur,
(18)-4 = 14
According to the given condition, let the age is A.
The value is 6 less than her age,
14 = A-6
or
14+6 = A
A = 20
Hence, Becky's age is equal to 20.
What is the image of (-12,9) after dilation by a scale factor of 1/3
Answer:
(-4,3)
Step-by-step explanation:
One number is 8 times as large as another. Their difference is 21. What is the larger number?
Explanation:
x = smaller number
8x = larger number, since it's 8 times larger than the smaller
8x-x = 7x = difference of the numbers
That difference is 21, so we can say 7x = 21 which solves to x = 3
The smaller number is 3 and the larger is 8x = 8*3 = 24
As a check: 24-3 = 21, which confirms the answer.
Which choice is equivalent to the expression below?
-25
A. -5
B. 51
C. 251
D. 5 + 1
E. -25
Answer:
the choice is equivalent to -25
Each question Sandra answers incorrectly changes her overall score by - points. Sandra's
overall score was - 41 points, and then she answered the last question incorrectly. What
was Sandra's final score?
-33
3.
DO
Answer: you can't really answer this because it's not telling me how many questions she answered so I don't know how many questions there are to decide how many points there are for each question but I'll give it a try.
Step-by-step explanation:
41 - 8 = 33 that's all I got and also next time make sure you put the answer choices on that too if there are any
IF A QUADRATIC FUNCTION OPENS UPWARD, DOES IT HAVE A MAXIMUM OR MINIMUM?
Answer: It will have a minimum.
The picture is above I’ll mark as brainliest.
Answer:
A. 42 [tex]u^{2}[/tex]
Step-by-step explanation:
The area of the figure is length × width. The length of the figure is 7 units, and the width is 6 units.
Finding the area:
length × width
= 7 × 6
= 42 [tex]u^{2}[/tex]
one fourth of a number is equal to 15/16. write the expression to represnt the above sentence.
note: use x to represent a number.
Answer:
1/4x = 15/16
Step-by-step explanation:
1/4x = 15/16
