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Rudik [331]
3 years ago
9

4. Wrangell-St. Elias National Park in Alaska is the largest national

Mathematics
1 answer:
Luba_88 [7]3 years ago
5 0

Answer:

2692.8

Step-by-step explanation:

1.32 x 10 = 13.2

2.0 x 102 = 204

204 x 13.2 = 2692.8

hope i helped

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In Jan's library, she has 24 informational books. If 15% of the books are informational text, how many total books are in her li
tatyana61 [14]

Answer:

160 books

Step-by-step explanation:

To find the total amount of something, when given the percent and how much value the percent is, use this

Total = \frac{Number*100}{Percent}

This way we get:

Total = \frac{24*100}{15} = \frac{2400}{15} = 160

Hope this answer helped! :)

6 0
3 years ago
In figure find the area of the red part.​
larisa [96]

Step-by-step explanation:

Given : A rectangle 4 x 8 , a semicircle

Diagonal intersecting semicircle  

To Find :Area of red part

<h3>Solution:</h3>

Angle AC make AB   α = ∠BAC

tan α = BC/AB = 4/8 = 1/2

=> α = 26.565°

∠ECA = ∠BAC = α

EC = EF = 4

=> ∠CEF = 180° - 2α

∠AED = 45°  as   AE is  diagonal of Square of side  4

=> ∠AEF  + 180° - 2α + 45° = 180°

=>  ∠AEF =  2α - 45°  = 8.13°

in Left side area  between square  and circle is split in 2 Equal parts

(1/2) area - area AFG = area of Red part

in Left side area  between square  and circle  = 4² - (1/4)π4²

= 3.4336 sq unit

half  =  1.7168 sq unit  

Now find area AFG = area ΔAEF - sector EGF

area ΔAEF  

AE = 4√2  , EF = 4    angle = 8.13°

area ΔAEF   = (1/2) 4√2 * 4 sin 8.13° = 1.6 sq unit

area  sector EGF  = (8.13/360)π4² = 1.135  sq unit

area AFG  = 1.6 - 1.135  = 0.465 sq unit

Area of Red part = 1.7168 - 0.465 sq unit

= 1.2518 sq unit

= 1.252  sq unit

= 1.25 sq unit.

Hope this helps!!

5 0
3 years ago
Read 2 more answers
Can someone plz explain to me when to use an open and closed dot
balandron [24]

closed dot is if the number is part of the solution so if it is equal to

 and

use open if it is not part of solution as in if it is greater than or less than

 so for your picture x greater or equal to -2 it would be a closed dot

5 0
3 years ago
A diameter of a circle has enpoints (-2, 10) and (6, -4) in the standard (x, y) coordinate plane. What is the center of the circ
wlad13 [49]

Answer:

The center of the circle is C(x,y) = (2, 3).

Step-by-step explanation:

The center of the circle is the midpoint of the segment between the endpoints. We can determine the location of the center by this vectorial expression:

C(x,y) = \frac{1}{2}\cdot R_{1}(x,y)+ \frac{1}{2}\cdot R_{2}(x,y) (1)

Where:

C(x,y) - Center.

R_{1} (x,y), R_{2} (x,y) - Location of the endpoints.

If we know that R_{1} (x,y) = (-2,10) and R_{2} (x,y) = (6,-4), then the location of the center of the circle is:

C(x,y) = \frac{1}{2}\cdot (-2,10)+\frac{1}{2}\cdot (6,-4)

C(x,y) = (-1, 5) + (3, -2)

C(x,y) = (2, 3)

The center of the circle is C(x,y) = (2, 3).

8 0
3 years ago
Jack and Jill had a lemonade stand. At the end of the day they had 75 buckles and quarters totaling $6.75. How many of each type
vekshin1

Answer:

eat stool hahahahahahaahahah

8 0
3 years ago
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