Answer:
132 cm²
Step-by-step explanation:
Consider the shape as a trapezoid with a rectangle added on top.
The area of the trapezoid is (7+19)/2 × 8 =104
The area of the rectangle is 7×4 = 28
Add the two areas: 104+28= 132
OR consider the shape as a tall rectangle with the two triangles added to the sides.
The area of the rectangle is 7(4+8) = 84
The area of the triangles is 8(19-7)/2= 48
[Each triangle is 24 cm²]
Add those areas
84+48=132
Same result: 132 cm²
The ounces of chocolate chips used by Mrs Jacob is 70 ounce
<em><u>Solution:</u></em>
Given that Jacob is making several batches of cookies and is using 84 total ounces of chips
Let "c" be the ounces of chocolate chips
Let "p" be the ounces of peanut butter chips
To find: ounces of chocolate chips used by Mrs Jacob
Given that There are 5 times as many ounces of chocolate chips as peanut butter chips
<em><u>Thus we can frame a equation as:</u></em>
ounces of chocolate chips = 5 x ounces of peanut butter chips
c = 5p -------- eqn 1
Jacob used 84 total ounces of chip. Therefore,
ounces of chocolate chips + ounces of peanut butter chips = 84
c + p = 84 ---- eqn 2
Substitute eqn 1 in eqn 2
5p + p = 84
6p = 84
<h3>p = 14</h3>
Substitute p = 14 in eqn 1
c = 5(14) = 70
<h3>c = 70</h3>
Thus the ounces of chocolate chips used by Mrs Jacob is 70 ounce
Answer:
234.784 ~ 235
Step-by-step explanation:
One side = 210
other side = 105
a2+b2 = c2
210 ^2 + 105 ^2 = c2
55125 = c ^2
c = 
= 234.784 ~ 235
hope its right!!!
Answer:
Ecological correlation
Step-by-step explanation:
According to a different source, the options that come with this question are:
- Ecological correlation
- Extrapolation
- Lurking variable
- Influential observation
Sarah should be careful about the use of an ecological correlation. An ecological correlation describes two variables that are group means, as opposed to a correlation between two variables that describe individuals. In this case, Sarah did pick 75 random students in each state. However, she then obtained the height and weight means for each state, and proceeded to compare these. Therefore, Sarah is not comparing individual values, but means. It is important to notice this, because correlations at a group level can be much higher than those at the individual level.
Answer:
it would be -90⁰ because its clockwise its the opposite direction
