Question

Please help! My brother gave me his homework and I don't know what to do!!!! There are 15 questions, so can someone please Help!?!?!?!?!?!

Please!?!?!

A rectangle has has an area of 112 cm². The length and the width of the rectangle are changed by a scale factor of 1.5. What is the area of the new rectangle?

△ABC is similar to △DEF by the ​ AA Similarity Postulate ​ What is the measure of ∠C?


What is the measure of AC?
Circle Z is intersected by AC←→ and CE←→.
What is the measure of AE?


The sector of a circle with a 60 mm radius has a central angle measure of 30° .
What is the exact area of the sector in terms of ​ π ​ ?

A chair is placed near a 26-ft tall tree. A right triangle is formed between the chair, the base of the tree, and the top of the tree. The angle formed at the top of the tree is 56°. How far from the tree is the chair. Round only your final answer to the nearest tenth.

Main Street, State Street, and Birch Avenue intersect to form a right triangle.What angle does Main Street make with Birch Avenue? Round only your final answer to the nearest degree.

What is the area of this triangle? Round only your final answer to the nearest hundredth.

The equation for a circle is ​x2+10x+y2+12y+52=0​ .
What is the equation of the circle in standard form?

(x+25)2+(y+36)2=36

(x+5)2+(y+6)2=9

(x+25)2+(y+36)2=9

(x+5)2+(y+6)2=36

What is the equation of a parabola with (4, 6) as its focus and y = 2 as its directrix.

A 12-person basketball team returns to the bus after a basketball match. During the ride back, each person produces 725 BTUs (British Thermal Units). The interior of the bus measures 39 ft by 7.25 ft by 6.5 ft.How many BTUs per cubic foot were produced?Round only your final answer to the nearest hundredth.

A wooden cube of mahogany has a side length of 8 cm and a mass of 400 g. What is the density of the cube?Round to the nearest hundredth.

Answer 1

A rectangle has an area of 112cm^2, and the area of a rectangle is:

A=xy or in this case:

xy=112 now if we scale x and y by 1.5 we have:

A=1.5x(1.5y)=2.25xy so we can set up an appropriate ratio

A/112=(2.25xy)/(xy)

A/112=2.25

A=252cm^2 So the area of the scaled rectangle is 252cm^2

...

Since they are similar, their angles are congruent (equal), and the sum of these angles must be 180° so:

C=180-60-55=65°
...

The area of the circle is:

A=πr^2 and we want to know the sector area with an angle of 30°

S=(πr^2)(30°/360°)

S=(πr^2)/12, given that r=60mm

S=300π (60^2π/12=3600π/12)

...

That's a couple...post one per post and you will get better and quicker answers I would think :)