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makvit [3.9K]
3 years ago
14

7 tenths times 10 is another problem that i need help on

Mathematics
1 answer:
Elza [17]3 years ago
8 0
Hi there!

7 tenths times 10 is pretty easy and can be done on a calculator.
7 tenths is 0.7 in standard form.

0.7 × 10 = 7

Because if you think about it...
Tenths is like being dropped down by ten... then you multiply by ten which brings it back up to whole number seven. It may not make sense but that's what it is.

Hope this helps!
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A piece if wire 40cm is bent to form a right angled triangle whose hypotenuse is 17cm long find the other two sides of triangle
hjlf

Answer: 150mm

Step-by-step explanation:

Take the two adjecent sides of the triangle to be x and y and X is the angle opposite the side, x.

From the trigonometric identities for a right-angled triangle, it is known that

x=170sin X and;

y=170cos X

Thus the perimeter of the triangle is given by

170sin X + 170cos X + 170 = 400

170(sin X + cos X) = 400 - 170

170(sin X + cos X) = 230

sin X + cos X = 230/170 = 1.3529

Squaring both sides hence,

sin^2(X) + 2sin X.cos X + cos^2(X) = 1.8304

Recall that sin^2(X) + cos^2(X) = 1 and 2sin X.cos X = sin 2X.

Thus, the former expression gives;

1 + sin 2X = 1.8304

sin 2X = 0.8304

2X = arcsin (0.8304)

2X = 56.14° or (180 - 56.14)° = 56.14° or 123.86° for X existing within a triangle.

X = 56.14/2 or 123.86/2

X = 28.07° or 61.93°

Thus the two adjacent sides are ;

x = 170 sin (28.07) = 80mm

y = 170 cos (28.07) = 150mm

Using the value of 61.93° as X would give the same values but interchanged for x and y.

I hope you find this useful.

5 0
3 years ago
Which facts could be applied to simplify this expression? Check all that apply.
Lubov Fominskaja [6]

Answer:

i think ii first add 5x + x then you can remove the parentheses, group similar terms and add similar elements

Step-by-step explanation:

3 0
3 years ago
Convert 75 degrees to radican measure
NeX [460]

Answer:5π/12

Step-by-step explanation:

180°=π

75°=x

x=75π ➗ 180

x=5π/12

6 0
3 years ago
Jim's car repair charges $50 plus $16 for every pint of oil. Sam's car repair charges $80 plus $14 for every pint of oil. At how
vova2212 [387]

Answer:

5 pints of oil for 8 dollars

Step-by-step explanation:

1.65 dollars for 1 pint

3.4/2=1.7 dollars for 1 pint

8/5=1.6 dollars for 1 pint

17.6/10=1.76 dollars for 1 pint

33/20=1.65 dollars for 1 pint

3 0
3 years ago
A chain has a ribbon tied to it every 2/3 foot. If the chain is 10 2/3 feet long, how many ribbons are tied to the chain??
patriot [66]

Answer:

16 ribbons

Step-by-step explanation:

Given the length of the chain as 10\frac{2}{3} and there is a ribbon tied to it every \frac{2}{3}, we can take the total length of the chain and divide by the measure of \frac{2}{3}:

10\frac{2}{3}=\frac{32}{3}

\frac{\frac{32}{3}}{\frac{2}{3}}=\frac{32}{3}*\frac{3}{2}=\frac{96}{6}=16

When dividing with fractions, we use the rule of 'keep/change/flip' to keep the first fractions, change the operation to multiplication and flip the second fraction.  

7 0
3 years ago
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