Answer:
m∠A=90°, m∠B=60°, m∠C=30°
Step-by-step explanation:
step 1
Verify if the triangle ABC is a right triangle
Applying the Pythagoras theorem

----> is true
therefore
Is a right triangle
m∠A=90°
Find the measure of angle C
sin(C)=AB/BC
substitute
sin(C)=6/12=1/2
so
m∠C=30°
Find the measure of angle B
we know that
m∠C+m∠B=90°------> by complementary angles
so
m∠B=90°-30°=60°
1)To find a Scale factor of Dilation, about the origin
We have
Pre-mage Image
(x, y) k(x,y)
For example
Pre-image Image
(2,4) 2(2,4) = (4,8)
2)When it's not about the origin then we have to count from the Projection Point
Having said this, ex
Which is not a step
a)
We can divide the x value of the image over the pre-image, not the way around.
In the example, I've given if we divide the pre-image over the image value we would have found a scale factor of 1/2. In the example, The scale factor was the inverse: 2
A. Re(z)= 32 and Im(z)= 41.9
The real part of a complex number z=a+bi is ‘a’, and the imaginary part is ‘b’
Answer:
330cm
Step-by-step explanation:
The formula to find the surface area of a rectangular prism is 2(lh+hw+lw)
(lh) in this formula is length times height
(hw) is height times width
(lw) is length times width
To find the answer to this problem lets make the height 3/5cm the width 10cm and the length 15cm
so now you would do (15*3/5) which is 9. This solve (lh)
then you would find (3/5*10) which is 6. This solves (hw)
and lastly you would find (15*10) which is 150. This solves (lw)
Now that you now the value of each one of these you replace it in the equation as so: 2(9+6+150)
now you solve the brackets which leaves us with 2(165)
now you multiply 2 with 165
and the answer is 330cm
Surface area = 330cm
Answer:
318125267
Step-by-step explanation:
-_-...............that is the answer