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3 years ago

Need help quick please!!! Could you please explain the answers to both questions? Thanks!

Mathematics

1 answer:

marissa [1.9K]3 years ago

7 0

For the triangle picture:

2/6 = 5/x

2x = 30

x = 15

For the other picture:

3.2/2 = a/8

The third option applies.

Other option does not apply.
Because for Option 4,
It should be 2/3.2 = b/6.4

For option 3,
it should be b/6.4 = 5/8

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A rectangular storage container with an open top is to have a volume of 10 cubic meters. The length of its base is twice the wid

drek231 [11]

Answer:163.54$

Step-by-step explanation:

Given data

Volume of Storage(V)= ${10m^3}$

Length=2breadth

Let Length be L,Breadth be & height be H

therefore

10=LBH

Now substitutes the values

10=2 ${B^2}H$

5= ${B^2}H$

Now cost for base is ${C_1}=2{B^2}\times10$

Cost for side walls is ${C_2}={2LH}\times6+2BH}\times6$

Now total cost(C)= ${C_1}+{C_2}$

C=20 ${B^2}H$ + ${2LH}\times6$ + $2BH}\times6$

C=20 ${B^2}H$ +24BH+ $12BH$

C= $20{B^2}+36B\times\frac{5}{B^{2}}$

Now Differentiating With respect to Breadth to get minimum cost

$\frac{\mathrm{d} C}{\mathrm{d} B}=0$

$we\ get\ B=\sqrt[3]{4.5}=1.65m$

$L=3.30m$

$H=1.836m$

and mimimum cost C

${C=163.54\$}$

7 0

4 years ago

Help me out please an thank you

Aliun [14]

Answer:

The angles that are supplementary to angle 7 includes angle 5 and angle 8.

4 0

3 years ago

What is the numberpattern in 4-14-30-?

maria [59]

Answer: You can count them by 2?

Step-by-step explanation:

2 4 6 8 10 12 14 16 18 20 22 24 26 28 30

8 0

3 years ago

The ratio of the number of dolls Jacky had to the number of dolls Peter had was 5 : 2 but, after Jacky gave 15 dolls to Peter, t

tester [92]

Answer:

35 [$]

Step-by-step explanation:

1) if Peter's sum is p and Jacky's is j, then the ratio 5:2 in the condition can be written j/p=5/2;

2) the phrase 'after Jacky gave 15 dolls to Peter, they have an equal number of dolls' can be written as j-15=p;

3) using the two above it is possible to make up the system of two equations:

$\left \{ {{\frac{j}{p} =5/2} \atop {j-15=p}} \right. \ = > \ \left \{ {{j=2.5p} \atop {j-15=p}} \right. \ = > \ \left \{ {{j=25} \atop {p=10}} \right.$

4) finally, the have together 10+25=35 doll-s.

8 0

2 years ago

How many different two digit numbers can you make using the numbers 3,7,9, and 2 if no digit is repeated within a number?

viva [34]

The first digit can be any one of the four. For each of those . . .
The second digit can be any one of the remaining 3 .

The total number of possible arrangements is (4 x 3) = 12 .

5 0

3 years ago