Jason is training to run in a marathon. His goal for this week is to run a minimum of 330 miles. So far this week, he has alread
1 answer:
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Answer:
Step-by-step explanation:
arithmetic sequence formula:
where is the first term and
is the common difference
Given:
⇒
⇒
Given:
⇒
⇒
Rearrange the first equation to make the subject:
a = 32 - 9d
Now substitute into the second equation and solve for
(32 - 9d) + 11d = 106
⇒ 32 + 2d = 106
⇒ 2d = 106 - 32 = 74
⇒ d = 74 ÷ 2 = 37
Substitute found value of into the first equation and solve for
:
a + (9 x 37) = 32
a + 333 = 32
a = 32 - 333 = -301
Therefore, the equation is:
Let
A (1,6)------> location <span>brianna's house on a map
B </span>(5,3)------> location Jordan's house on a map
we know that
One possible path from brianna's house to jordan's house it's a straight line ( <span>the shortest distance)</span>
using a graph tool
see the attached figure
find the distance points AB
d=√[(y2-y1)²+(x2-x1)²]-----> d=√[(3-6)²+(5-1)²]----> d=√[3²+4²]
d=√25----> d=25 units
the distance from brianna's house to jordan's house is 25 units
A (1,6)------> location <span>brianna's house on a map
B </span>(5,3)------> location Jordan's house on a map
we know that
One possible path from brianna's house to jordan's house it's a straight line ( <span>the shortest distance)</span>
using a graph tool
see the attached figure
find the distance points AB
d=√[(y2-y1)²+(x2-x1)²]-----> d=√[(3-6)²+(5-1)²]----> d=√[3²+4²]
d=√25----> d=25 units
the distance from brianna's house to jordan's house is 25 units
Answer:
Volume of the Pyramid = 40 cubic centimeters
Step-by-step explanation:
The volume of a pyramid is given by the formula:
Where
l is the length
w is the width
h is the height
In the figure shown, the length is 5, width is 4, and height is 6 (in cm). We just substitute and find the answer. Shown below:
So, we can say:
Volume of the Pyramid = 40 cubic centimeters