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11Alexandr11 [23.1K]
3 years ago
6

Wich is bigger two thirds of 30 or one fifth of 25?

Mathematics
1 answer:
Nikolay [14]3 years ago
3 0
Two-thirds of 30 is bigger

two-thirds of 30 = 20
one-fifth of 25 = 5

two-thirds of 30 is bigger

hope this helps
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Write an equation of the line containing the point (3,5) and perpendicular to the line 4x-3y=5
ICE Princess25 [194]

Answer:

Step-by-step explanation:

In order to write the equation of the line perpendicular to the given line, we first have to know what the slope of the given line is, and there's no way to tell by looking at it in its current form, which is standard. We need to solve that equation for y to determine the slope of that line. Solving for y:

-3y=-4x+5 and

3y = 4x - 5 (just change all the signs so our y term isn't negative anymore...yes, you're "allowed" to do that!) and

y=\frac{4}{3}x-\frac{5}{3} So we can see now that the slope of this line is 4/3. That means that the perpendicular slope is -3/4. Passing through the given point (3, 5):

y-5=-\frac{3}{4}(x-3)* and

y-5=-\frac{3}{4}x+\frac{9}{4} and

y=-\frac{3}{4}x+\frac{9}{4}+\frac{20}{4} so

y=-\frac{3}{4}x+\frac{29}{4}** and, in standard form:

4y = -3x + 29 and

3x + 4y = 29***

* : point-slope form

** : slope-intercept form

*** : standard form

3 0
3 years ago
Nolan and emily are both selling cookie dough for a fundraiser. Although Nolan has already sold four tubes emily hasn't sold any
just olya [345]

Answer:

it will take 65 days. 130 tubes of cookie dough.

Step-by-step explanation:

3 0
3 years ago
HELP!!! Simplify cos^2 0 -1/ 4sin^2 0?
Shkiper50 [21]

We need to simpify the given expression. The given expression to us is ,

<u>Given </u><u>Expression</u><u> </u><u>:</u><u>-</u><u> </u>

\sf\implies \dfrac{ cos^2\theta -1}{4 \ sin^2\theta }

<u>Using </u><u>Identity</u><u> </u><u>:</u><u>-</u><u> </u>

\sf\implies \red{ sin^2\theta + cos^2\theta = 1}

<u>So </u><u>that</u><u> </u><u>:</u><u>-</u><u> </u>

\sf\implies - sin^2\theta = cos^2\theta -1

<u>We </u><u>have</u><u> </u><u>:</u><u>-</u><u> </u>

\sf\implies \dfrac{ cos^2\theta -1}{4 \ sin^2\theta } \\\\\sf\implies\dfrac{ - sin^2\theta}{4sin^2\theta}=\boxed{\sf -\dfrac{1}{4}}

<u>Hence </u><u>the</u><u> </u><u>required</u><u> answer</u><u> is</u><u> </u><u>-</u><u>1</u><u>/</u><u>4</u><u>. </u>

5 0
3 years ago
ASAP please help I’m failing math
MariettaO [177]

Answer:

Part A) The volume of the entire cone is 168\pi\ in^3

Part B) see the explanation

Step-by-step explanation:

Part A) we know that

The volume of a cone is equal to

V=\frac{1}{3}\pi r^{2}h

where

r is the radius of the base of the cone

h is the height of the cone

In this problem triangle ABD is similar to triangle ACE

Remember that If two figures are similar, then the ratio of its corresponding sides is proportional

so

\frac{AB}{AC}=\frac{BD}{CE}

substitute the given values

\frac{7}{14}=\frac{3}{x}

solve for x

x=14(3)/7\\x=6\ in

To find out the volume of the entire cone we have

r=CE=x=6\ in

h=AC=14\ in

substitute in the formula

V=\frac{1}{3}\pi (6)^{2}(14)

V=168\pi\ in^3

Part B) How did you determine the value for x in triangle ACE

In this problem triangle ABD is similar to triangle ACE

If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

so

\frac{AB}{AC}=\frac{BD}{CE}

substitute the given values and solve for x

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4 years ago
PLZ ANSWER NOW FOR BRAINLEIST ANSWER AND 30 points!!! Show all work
Darina [25.2K]
A simple method is to square all the answers 

6^2 = 36~~~( \sqrt{40} )^2 = 40 ~~5^2 = 25 ~~~~ (\sqrt{23} )^2 = 23

now arrange them
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3 years ago
Read 2 more answers
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