Answer:
Bl^2+4Bl*Fh
Step-by-step explanation:
I'm not quite certain what "draw a net" means here. But for part b, we are doing the formula. The bottom part is a square(assumingly so take this with a grain of salt), thus making the base equal to 3*3 cm or 9 cm^2. The triangular faces are each 3*2.24 cm or 6.72 cm^2. We then multiply this by 4 to get 26.88. Thus, the equation is Bl^2(Base length squared)+Bl*Fh(Face height, I forgot the official name sorry about that)*4 for part b.
Answer:
C.
Step-by-step explanation:
Multiply both sides by 15, which gives you r≥-75
Since the graph has to go in the direction of numbers greater than -75, that would be -74, -73, -72, etc. So, it is C.
Answer:
5 bags of brand x and 6 bags of brand y.
Step-by-step explanation:
Nutrient requirement for the garden:
39 pounds of nutrient a and
16 pounds of nutrient b
Component of each bag of brand x:
3 pounds of nutrient a and 2 pounds of nutrient b
Therefore, 5 bags of brand x will contain 15 pounds of nutrient a and 10 pounds of nutrient b
Component of each bag of brand y:
4 pounds of nutrient a and 1 pound of nutrient b
Therefore, 6 bags of brand y will contain 24 pounds of nutrient a and 6 pounds of nutrient b
Altogether, she should buy 5 bags of brand x and 6 bags of brand y to meet the nutrient requirement of the garden
An angle bisector divides an angle into two equal halves.
The measure of angle
is 70 degrees
The complete question is an illustrates the concept of angle bisector;
Where:
, and line PC bisects ![\angle RPD](https://tex.z-dn.net/?f=%5Cangle%20RPD)
Because line PC bisects
, then it means that the measure of RPD is twice the measure of CPD:
So, we have:
![\angle RDP = 2 \times \angle CPD](https://tex.z-dn.net/?f=%5Cangle%20RDP%20%3D%202%20%5Ctimes%20%5Cangle%20CPD)
Substitute ![\angle RPD = 140^o](https://tex.z-dn.net/?f=%5Cangle%20RPD%20%3D%20140%5Eo)
![140^o = 2 \times \angle CPD](https://tex.z-dn.net/?f=140%5Eo%20%3D%202%20%5Ctimes%20%5Cangle%20CPD)
Divide both sides by 2
![70^o = \angle CPD](https://tex.z-dn.net/?f=70%5Eo%20%3D%20%5Cangle%20CPD)
Apply symmetric property of equality:
![\angle CPD = 70^o](https://tex.z-dn.net/?f=%5Cangle%20CPD%20%3D%2070%5Eo)
Hence, the measure of angle
is 70 degrees
Read more about angle bisectors at:
brainly.com/question/12896755
The ratio of the area of the <u>first figure</u> to the area of the <u>second figure</u> is 4:1
<h3>Ratio of the areas of similar figures </h3>
From the question, we are to determine the ratio of the area of the<u> first figure</u> to the area of the <u>second figure</u>
<u />
The two figures are similar
From one of the theorems for similar polygons, we have that
If the scale factor of the sides of <u>two similar polygons</u> is m/n then the ratio of the areas is (m/n)²
Let the base length of the first figure be ,m = 14 mm
and the base length of the second figure be, n = 7 mm
∴ The ratio of their areas will be
![(\frac{14 \ mm}{7 \ mm})^{2}](https://tex.z-dn.net/?f=%28%5Cfrac%7B14%20%5C%20mm%7D%7B7%20%5C%20mm%7D%29%5E%7B2%7D)
![= \frac{196 \ mm^{2} }{49\ mm^{2} }](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B196%20%5C%20mm%5E%7B2%7D%20%7D%7B49%5C%20mm%5E%7B2%7D%20%7D)
![=\frac{4}{1}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B4%7D%7B1%7D)
= 4:1
Hence, the ratio of the area of the <u>first figure</u> to the area of the <u>second figure</u> is 4:1
Learn more on Ratio of the areas of similar figures here: brainly.com/question/11920446