Answer:
? =64.62306
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adjacent side / hypotenuse
cos ? = 3/7
Taking the inverse cos of each side
cos ^-1 ( cos ? ) = cos ^-1 (3/7)
? =64.62306
Answer: -$59,035.95 is her bank balance
Step-by-step explanation:
you would need to subtract $7,463,49 from the amount in her bank account which is $ 6,873,22 which gets you -$59,027 then subtract the maintnence fee that she had to pay so you do -$59,027-$15 which equals -$59,042 then add her interest which is $6.05 that equals -$59,035.95
Sixteen ounces per pound.
The scale factor is 1.5. The dilation rule is : (x,y)-------(.15x,1.5y)
Step-by-step explanation:
Dilation is a transformation that maps an object to an image of the same shape as the original object to form a different size image.When a larger image is produced it's called an enlargement where as when a small image is produced, it's called a reduction.
The rule of dilation, with center as the origin follows;
(x,y)------(sx,sy) where s is the scale factor. To find the scale factor, select one of the vertices of the object and of the image at divide the coordinate of image with that of object.
Taking O(2,16) and O'(3,24), the scale factor will be;
s*2=3
2s=3
s=3/2 =1.5
or
s*16=24
16s=24
s=24/16=3/2=1.5
The scale factor is 1.5, hence the dilation rule is;
(x,y)-------(.15x,1.5y)
Learn More
Dilation:brainly.com/question/10945890
Keywords: dilation, vertices, origin, scale factor, translation
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The volume of a cone is 84.78 cm
<u>Step-by-step explanation</u>:
<u>Given</u>:
radius = 3 cm and
height = 9 cm
<u>To Find</u>:
The Volume of a Cone
<u>Formula</u>:
The Formula for the volume of a cone is
V=πr2 *h/3
<u>Solution</u>:
V=πr2 *h/3
π value is 3.14
V= 3.14*(3)^2*9/3
V=3.14*9*3
V= 84.78 cm
Therefore the volume is 84.78 cm.
