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3 years ago

Add or subtract the following fractions. write in simplest form.3/4 - 3/10

Mathematics

1 answer:

Burka [1]3 years ago

7 0

Answer:

I got 9/20

Hope that helps!

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In the figure below, GRAH is a rectangle, RA=7, and GA=10. Determine AH.

svetoff [14.1K]

Answer:

AH = $\sqrt{51}$

Step-by-step explanation:

The opposite sides of a rectangle are congruent , so

GH = RA = 7

Using Pythagoras' identity in right Δ GHA

AH² + GH² = GA²

AH² + 7² = 10²

AH² + 49 = 100 ( subtract 49 from both sides )

AH² = 51 ( take the square root of both sides )

AH = $\sqrt{51}$ ≈ 7.14 ( to 2 dec. places )

3 0

3 years ago

A dive ring on the bottom of the pool is 10 feet below the surface of the water. Sabine dives down and brings the ring back to t

MissTica

The surface of the water is 0 feet. So 10 feet down means it is 0 - 10, or -10 feet as its final position.

8 0

3 years ago

Read 2 more answers

Find the average value fave of the function f on the given interval. f() = 5 sec2(/6), 0, 3 2

Inessa05 [86]

Answer:

$f_{ave}$ = ${\frac{10 }{3\pi }$

Step-by-step explanation:

To find - Find the average value fave of the function f on the given interval. f(x) = 5 sec²(x/6), [0, 3 $\pi$ /2]

Proof -

We know that,

Average value of f in the interval [a, b] is -

$f_{ave}$ = $\frac{1}{b - a}\int\limits^b_a {f(x)} \, dx$

Now,

Here a = 0, b = $\frac{3\pi }{2}$ , f(x) = $5sec^{2}(\frac{x}{6} )$

Now,

$f_{ave}$ = $\frac{1}{\frac{3\pi }{2} - 0}\int\limits^{\frac{3\pi }{2} }_0 {5sec^2 ({\frac{x}{6} }) } \, dx$

= ${\frac{2 }{3\pi }}\int\limits^{\frac{3\pi }{2} }_0 {5sec^2 ({\frac{x}{6} }) } \, dx$

= ${\frac{10 }{3\pi }}\int\limits^{\frac{3\pi }{2} }_0 {sec^2 ({\frac{x}{6} }) } \, dx$

= ${\frac{10 }{3\pi }}[\ {tan({\frac{x}{6} }) }|^{\frac{3\pi }{2} }_0 \, ]$

= ${\frac{10 }{3\pi }}[\ {tan({\frac{x}{6} }) - tan({0) } \, ]$

= ${\frac{10 }{3\pi }}[ {1 - 0 } ]$

= ${\frac{10 }{3\pi }$

⇒ $f_{ave}$ = ${\frac{10 }{3\pi }$

3 0

3 years ago

Evaluate the expression (5-4)^0 +(7-3)^0

storchak [24]

Hi,

Everything with exponent equal to 0 is 1.

The equation is therefore:

$1 + 1 = 2$

Hope this helps.
r3t40

6 0

3 years ago

Is experimental probability always close to theoretical probability? Explain.

AleksandrR [38]

Answer:

it should be pretty close but not all the time 100% accurate depending on how well it is done. if you're talking about it in a lab sense, there's sometimes human error, or the equipment you're using isn't always 100% accurate either which leads to a slight difference. As long as everything is done correctly it should be relatively the same

4 0

4 years ago

Add or subtract the following fractions. write in simplest form.3/4 - 3/10​

Add or subtract the following fractions. write in simplest form.3/4 - 3/10