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Elina [12.6K]
3 years ago
7

Given: AB ∩ CD = O, m∠NOD = x,m∠AON = 44º, m∠BOC = 102º. Find: x.

Mathematics
1 answer:
xeze [42]3 years ago
6 0

Answer:

x= 58

Step-by-step explanation:

minus 44 from 102

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5 1/2 x 3 3/4 please help
Svetach [21]

Answer:

5 1/2 is also known as 11/2 and 3 3/4 is also know as 15/4. Now times 11/2 x 15/4. 165/8 is the answer i think

Step-by-step explanation:

you make everything an improper fraction then times it

3 0
2 years ago
Stefanie bought a package of pencils for $1.75 and some erasers that cost $0.25 each. She paid a total of $4.25 for these items,
melamori03 [73]

Answer:

Stefanie bought 10 erasers

Step-by-step explanation:

We can establish the following equation:

TP = NP*PP + NE*EP

Where:

TP = Total price; (4.25)

NP = Number of pencil packages; (1)

PP = Pencil Package's Price; (1.75)

NE = Number of erasers; (What we are looking for)

EP = Erasers Price; (0.25);

Then:

4.25 = 1*1.75 + NE*0.25;

4.25 - 1.75 = NE*0.25;

2.5/0.25 = NE;

10 = NE.

5 0
3 years ago
A truck weighing 150kN and travelling at 2m/sec impacts with a buffer
FrozenT [24]

The maximum compression of the spring is 0.276 m

Step-by-step explanation:

First of all, we calculate the spring  constant of the spring, by using Hooke's law:

F=kx

where

F = 10 kN = 10,000 N is the force applied

x = 1.25 cm = 0.0125 m is the corresponding compression of the spring

k is the spring constant

Solving for k,

k=\frac{F}{x}=\frac{10,000}{0.0125}=8\cdot 10^5 N/m

When the truck impacts with the spring, all the kinetic energy of the truck is converted into elastic potential energy of the spring, so we can write

\frac{1}{2}mv^2=\frac{1}{2}kx^2 (1)

where

m is the mass of the truck

v = 2 m/s is the initial speed of the truck

k=8\cdot 10^5 N/m is the spring constant

x is the compression of the spring

The mass of the truck can be found from its weight:

m=\frac{W}{g}=\frac{150,000 N}{9.81 N/kg}=15,290 kg

So now we can re-arrange eq.(1) to find the compression, x:

x=\sqrt{\frac{mv^2}{k}}=\sqrt{\frac{(15,290)(2)^2}{8\cdot 10^5}}=0.276 m

Learn more about kinetic energy:

brainly.com/question/6536722

#LearnwithBrainly

6 0
3 years ago
400 ml squash is made by mixing 50 ml of cordial with water. what fraction of the drink is water?give your answer in its simples
Tasya [4]

squash = cordial + water

400 ml = 50 ml + x ml

350 ml = x ml

Therefore, 350 ml are water.

350 ml / 400 ml = 0.875 = \frac{350}{400} = \frac{35}{40} = \frac{7}{8}

So the answer is 7 / 8

5 0
3 years ago
a dollhuse has a bed with diemesions 1/12 size of a queen size bed has an area of 4,800 square inches, and a length of 80 inches
aliina [53]
Divid to get the other side :) so if the doll house is 1/12 of the queen size bed you divid each side by 12 see. 4800/80=60. 80/12=6.6667.... so 60/12=5. so then 5x6 1/3. hope this helps you ... goood luck! :) 
3 0
3 years ago
Read 2 more answers
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