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larisa86 [58]
3 years ago
9

Determine the value of k that partitions a segment into a ratio of 1: 4.

Mathematics
1 answer:
mrs_skeptik [129]3 years ago
8 0
Given the points A(-1<span>, 2) and B(7, 8), </span>determine<span> the coordinates of point P on directed line </span>segment<span> that </span>partitions<span> in the </span><span>ratio 1</span>/3<span>. Solution: Method </span>1<span>: A </span>1/3 ratio<span> divides the </span>segment into 1<span> + 3 = </span>4<span> equal parts. The direction is from A to B, so use the </span>ratio k<span> from A/P which is </span>1/4<span> of the line </span>segment<span>. Hope this helps

</span>

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Write the improper fraction as a mixed number or a whole number 13/4
Dominik [7]
13/4 would be 3 1/4. this is because 4 can go into 13 3 times leaving 1/4 left over. hence making it a mixed number. as a whole number it would be 3.25 because 4 can go into 13 3 times and 1/4 is .25, hope this helps!:)
7 0
3 years ago
Tasha invests $5000 annually at 6% and an additional $5000 annually at 8%. Thomas invests $10000 annually at 7%. Which statement
REY [17]

Answer:

Answer:

Option B is correct.

Step-by-step explanation:

We will compare the interest earned by both.

Tasha: p = $5000

r = 6% or 0.06

n = 1

So, Amount after a year will be = = $5300

And amount the next year with p = 5300: 5300*1.06= $5618

Additional $5000 at 8%

Here the amount will be = =5400

Next year amount with p = 5400 : 5400*1.08 = $ 5832

Amount in total Tasha will have in 2 years = 5618+5832 = 11450

Thomas:

p = 10000

r = 7% or 0.07

n = 1

After a year the amount will be = =$10700

Amount Next year with p = 10700 : 10700*1.07 = $11449

*****Just after 1 year we can see that Tasha's total amount is high than Thomas. This means at the same consistent rate, each year Tasha's amount will always be higher than Thomas.

So, option B is correct. Tasha’s investment will yield more over many years because the amount invested at 8% causes the overall total to increase faster.

6 0
3 years ago
Read 2 more answers
A restaurant makes pizzas with 6-inch diameters ad 12-inch diameters. Which of the following statement is true?
a_sh-v [17]

Answer:

The correct option is c: the area of the 6-inch pizza is 1/4 the area of the 12-inch pizza.

Step-by-step explanation:

The area (A) of each pizza is given by:

A = \pi r^{2}

Where:

r: is the radius

For the 12-inch pizza we have:

A_{12} = \pi (\frac{12 inch}{2})^{2} = 113.1 inch

And for the 6-inch pizza we have:

A_{6} = \pi (\frac{6 inch}{2})^{2} = 28.3 inch

The ratio between A₆ and A₁₂ is:

\frac{A_{6}}{A_{12}} = \frac{28.3 inch}{113.1 inch} = 0.25 = \frac{1}{4}

Hence:

A_{6} = \frac{A_{12}}{4}

Therefore, the correct option is c: the area of the 6-inch pizza is 1/4 the area of the 12-inch pizza.

I hope it helps you!            

4 0
3 years ago
I need Help with this problem
yuradex [85]
X-6=36
x=42
Hope that helps
8 0
3 years ago
Read 2 more answers
Find the area of the triangle
Brrunno [24]

Answer:

the answer is 108 ft²

Step-by-step explanation:

multiple 18 to 6

5 0
2 years ago
Read 2 more answers
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