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3 years ago

45 – (–32) + (–12) – |–7|

Mathematics

2 answers:

mash [69]3 years ago

7 0

Answer:

Simplify the expression.

Step-by-step explanation:

Trava [24]3 years ago

6 0

Answer: 58

Work:
45 - (-32) + (-12) - |-7|
45+32-12-7=58

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Please help with number 1 and 4 asap!

BaLLatris [955]

Answer:

<u>Total surface area</u>

1) 46cm²

4) 304cm²

Step-by-step explanation:

1) First you need to work out each face on its own, opposites will be the same such as the front and back, top and bottom, side to side, because its a rectangle.

Formula : Base x height

Front/back : 5x3=15 and 15 =30 (added together)

top/bottom : 1x5= 5 and 5 = 10

side/side : 3x1= 3 and 3 = 6

30+10+6=46cm²

4) lets work out the easy ones first using the same formula from question 1 for one surface area but this is a trapezium, which is a irregular quadratical shape so the sides would most liky be different from each other except the front and back.

Top : 5x8=40

bottom : 3x10=30

right side : 12x8=96

Left side : 12x10=120

front/back= 12x3=36 / 2 = 18

Because if u added another side to make it a rectangle then divide by 2 would get the answer or 1/2 x base x height also works.

40+30+96+120+18=304cm²

5 0

3 years ago

Which one of the triangles shown is the image of the other triangle after dilation?What are the coordinates of the center of dil

Tanya [424]

Answer:

a) ΔF'G'H' is the image of ΔFGH

b)Center of dilation (7,-1)

c) Scale factor: $\frac{1}{2}$

Step-by-step explanation:

Question a

Since the smaller triangle is named F'G'H', it means that, it is the image of triangle FGH.

Question B.

To find the center of dilation, draw straight lines through any two corresponding points.

The straight lines will meet at (7,-1).

This is called the center of dilation.

See graph in attachment.

Question c

The scale factor of the dilation is given by;

$k=\frac{|F'G'|}{|FG|}$

$k=\frac{\sqrt{(4-5)^2+(1-5)^2}}{\sqrt{(3-1)^2+(3-11)^2}}$

$k=\frac{\sqrt{1+16}}{\sqrt{4+64}}$

$k=\frac{\sqrt{17}}{\sqrt{68}}$

$k=\frac{\sqrt{17}}{2\sqrt{17}}$

$k=\frac{1}{2}$

7 0

3 years ago

Solve 3(2x - 8) = 12

spayn [35]

Answer:

x=6

Step-by-step explanation:

Simplifying

3(2x + -8) = 12

Reorder the terms:

3(-8 + 2x) = 12

(-8 * 3 + 2x * 3) = 12

(-24 + 6x) = 12

Solving

-24 + 6x = 12

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '24' to each side of the equation.

-24 + 24 + 6x = 12 + 24

Combine like terms: -24 + 24 = 0

0 + 6x = 12 + 24

6x = 12 + 24

Combine like terms: 12 + 24 = 36

6x = 36

Divide each side by '6'.

x = 6

Simplifying

x = 6

5 0

3 years ago

A theater sells tickets for a concert. Tickets for lower-level seats cost $35 each. Tickets for upper-level seats cost $25 each.

I am Lyosha [343]

Answer:

The Answer is: Lower Level seats = 150. Upper level seats = 200.

Step-by-step explanation:

Start with two known equations:

1 - the number of Lower Level times 35 + the number of Upper level times 25 = the total dollar amount of $10,250.

35L + 25u = 10250

The number of both types of tickets = 350

L + u = 350

Solve for u:

u = 350 - L

Substitute and solve for L, Lower level seats:

35L + 25(350 - L) = 10250

35L + 8750 - 25L = 10250

10L + 8750 = 10250

10L = 1500

L = 150

There are 150 Lower Level seats.

u = 350 - L

Subtract to get the number of upper level seats:

u = 200

Proof:

35(150) + 25(200) =

$5,250 + $5,000 = $10,250

5 0

3 years ago

Read 2 more answers

Finding Leg Lengths. Find the length of a leg in the 45°-45°-90°<br> triangle.

bixtya [17]

Answer:

12. $x=10$

13. $x=4$

14. $x=5$

15. $x=1$

16. $x=8$

17. $x=14$

Step-by-step explanation:

for these i also used the pythagorean theorem ( $a^{2}+b^{2}=c^{2}$ )

$a$ and $b$ are the legs, $c$ is the hypotenuse

12.

$x^{2} +x^{2} =(10\sqrt{2} )^{2}$

$2x^{2} =200$

$x^{2} =100$

$x=10$

13.

$x^{2} +x^{2} =(4\sqrt{2} )^{2}$

$2x^{2} =32$

$x^{2} =16$

$x=4$

14.

$x^{2} +x^{2} =(5\sqrt{2} )^{2}$

$2x^{2} =50$

$x^{2} =25$

$x=5$

15.

$x^{2} +x^{2} =(\sqrt{2} )^{2}$

$2x^{2} =2$

$x^{2} =1$

$x=1$

16.

$x^{2} +x^{2} =(8\sqrt{2} )^{2}$

$2x^{2} =128$

$x^{2} =64$

$x=8$

17.

$x^{2} +x^{2} =(14\sqrt{2} )^{2}$

$2x^{2} =392$

$x^{2} =196$

$x=14$

7 0

3 years ago