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Arturiano [62]
3 years ago
9

|5| |-6|=5 |-6|= =5 6 =11

Mathematics
1 answer:
RoseWind [281]3 years ago
4 0
Hello,

Here in Europe, we know a nice sign"+" which means addition !!!!!!!

|5|=5
|-6|=6

|5|+|-6|=5+6=11

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Can someone please help me with this ​
Readme [11.4K]

Answer:

7) 28.8 in

8) 80.6 mm

9) 68.3 cm

(All answers to the nearest tenth)

Step-by-step explanation:

7) The traingle is a right-angled triangle since the 4 angles of a rectangle are right angles.

Applying Pythagoras' Theorem,

x²= 16² +24²

x²= 832

x= √832

x= 28.8 in (nearest tenth)

8) Applying Pythagoras' Theorem,

x² +40²= 90²

x²= 8100 -1600

x²= 6500

x= 80.6 mm (nearest tenth)

9) See the attached picture for better understanding.

1st picture shows the simplified diagram of the question, indicating where line x lies in the rectangular prism.

Now, if we cut the prism into half diagonally so that we obtain 2 equal triangular prism, we would obtain 2 prisms that look like the one drawn in picture 2.

Now zoom in to the blue face of the prism, we would get a triangle as shown in picture 3.

Let's find the value of y.

Applying Pythagoras' Theorem,

y²= 40² +54²

y²= 4516

y= √4516

Look at picture 2 again at focus at the pink shaded triangle. It has been re-drawn in picture 4.

Now we know that y= √4516.

Applying Pythagoras' Theorem,

x²= (√4515)² +12²

x²= 4660

x= √4660

x= 68.3 cm (nearest tenth)

3 0
2 years ago
An account is opened with an initial balance of $950 and a simple annual interest rate of 1.6%. What is the balance after 5 year
Sergeeva-Olga [200]
The answer is $1,026.

Solving: Use Simple interest formula, I=Prt.

Make the rate into a decimal (1.6% -> 0.016)

plug in the numbers into the formula. 950 x 0.016 x 5 = 76$.

76$ will be our interest, now to find the balance we would have to add the the starting money (950) with our interest (76$), resulting in our answer of $1,026 after 5 years.
5 0
2 years ago
Read 2 more answers
What is the area of a triangle whose vertices are D(3,3) , E(3,−1) , and F(−2,−5)?<br> ?= Unit ^2
Thepotemich [5.8K]
Length of DE = 3-(-1) = 4

SIDE DE is a vertical line 

horizontal distance between E and F is  3 - (-2) = 5

So the area of triangle DEF = 0.5 * 4 * 5 = 10 sq units
5 0
3 years ago
Read 2 more answers
Greg is working on a school project
lyudmila [28]

Answer: Cool

Step-by-step explanation:

Greg is working on a school project

5 0
3 years ago
Read 2 more answers
Need the answers to 38-41
Volgvan
38. 8•4 =32cm^2
39. 8+8+5+5=26 cm^2
40. Pi•r*2 so = 28.27in^3
41. 15/2=7.5 so pi•7.5^2 so area is 176.71m^3
6 0
2 years ago
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