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3 years ago

52% of ______ days is 13 days.

1 answer:

8 0

'of' in mathematics means multiplication
'is' in mathematics means equal

52% * x = 13

52/100 * x = 13

0.52x = 13

x = 13/0.52

x = 25

52% of 25 days is 13 days.

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If j = 10 cm and k = 12.5 cm what is the length of l

leonid [27]

Answer:

22.5

Step-by-step explanation:

3 0

3 years ago

a building with a height of 14 m casts a shadow that is 16m long while a taller building casts a 24 meter long shadow. what is t

MissTica

26 meters. Hope this helps!

5 0

3 years ago

in the circl below, AD is diameter and AB is tangent at A. Suppose mADC=228*, find the measures of mCAB and mCAD. Type your nume

Andrew [12]

Given:

AD is diameter of the circle, AB is the tangent, and measure of arc ADC is 228 degrees.

To find:

The $m\angle CAB$ and $m\angle CAD$ .

Solution:

AD is diameter of the circle. So, the measure of arc AD is 180 degrees.

$m(arcADC)=m(arcAD)+m(arcDC)$

$228^\circ=180^\circ+m(arcDC)$

$228^\circ-180^\circ+=m(arcDC)$

$48^\circ+=m(arcDC)$

The measure inscribed angle is half of the corresponding subtended arc.

$m\angle CAD=\dfrac{1}{2}\times m(arcDC)$

$m\angle CAD=\dfrac{1}{2}\times 48^\circ$

$m\angle CAD=24^\circ$

AB is the tangent. So, $m\angle BAD=90^\circ$ because radius is perpendicular on the tangent and the point of tangency.

$m\angle BAD=m\angle CAB+m\angle CAD$

$90^\circ=m\angle CAB+24^\circ$

$90^\circ -24^\circ=m\angle CAB$

$66^\circ=m\angle CAB$

Therefore, $m\angle CAB=66^\circ$ and $m\angle CAD=24^\circ$ .

4 0

2 years ago

A museum curator is hanging 7 paintings in a row for an exhibit. There are 4 Renaissance paintings and 3 Baroque paintings. From

Marina CMI [18]

Answer:

144 ways

Step-by-step explanation:

Number of paintings = 7

Renaissance = 4

Baroque = 3

We are hanging from left to right and we will first hang Renaissance painting before baroque painting.

For Renaissance we have 4! Ways of doing so. 4 x3x2x1 = 24

For baroque we have 3! Ways of doing so. 3x2x1 = 6

We have 4!ways x 3!ways

= (4x3x2x1) * (3x2x1) ways

= 144 ways

Therefore we have 144 ways to hang the painting.

6 0

3 years ago

Find-5/6÷(-1/2) write the answer in the lowest terms.

jonny [76]

Multiply by the reciprocal

-5/6 x -2/1
The negatives cancel, giving you a positive answer:
10/6
Simplified to 5/3 or 1 and 2/3 if you use mixed fractions.

8 0

3 years ago

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