I need help on doing this

Mathematics

2 answers:

Rudik [331]3 years ago

7 0

Answer:

#5A=6

5B=4

Step-by-step explanation:

Helga [31]3 years ago

3 0

Answer:

5a) x=40 using the formulae for perimeter of a rectangle p=2(l+b)

120=2(l+20) factor out and you have 120=2l+40 make L subject of formulae then you have 2L=120-40 so L=80/2 L=40cm.

(5b) use the same procedure p=2(l+b) then L=250m.

6a) since both area and perimeter are give then using p=2(l+b), 20=2(L+B) so (L+b)=20/2 therefore (L+b)=10

Now introduce the formular for area which is A=L*B 24=L*B then making L sub of formular L=24/B substitute into (L+B)=10 then u have 24/B +B =10 find LCM you then have 24+B^2=10B this becomes a quadratic equation B^2 -10B +24 =0 solve and you have B=4 or 6. Substitute into (L+B)=10 to find L. L= 4 or 6

6b) use the same procedure as 6a.

L=2 or 12 and W =12 or 2

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Nataliya [291]

Answer:

D. They are similar by the definition of similarity in terms of a dilation.

Step-by-step explanation:

<em>Refer to attached</em>

The points are plotted and connected to make triangles

As per the diagram, the triangles are similar, each side of ABC is reduced twice to make the corresponding sides of DEF, so the scale factor is 1/2.

<u>Correct choice is D</u>

They are similar by the definition of similarity in terms of a dilation.

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3 years ago

Jenny opened a package of screws quickly and many of them spilled on the floor. She needs to organize the fasteners according to

hichkok12 [17]

We have to compare diameters and arrange them in order smallest to greatest

We can see units for option A and B are in square inches so they represents area. So first we will find diameter from area using formula

$A = \pi r^{2}$

so for choice (A) area is given as $4.375 \times 10^{7}$ . So plug this in A place in formula and then solve for radius r

$4.375 \times 10^{7} = \pi r^{2}$

$\frac{4.375 \times 10^{7}}{\pi} = \frac{\pi r^{2}}{\pi}$

$1.393 \times 10^{7} } = r^{2}$

$\sqrt{1.393 \times 10^{7}} = \sqrt{r^{2}}$

3731.76 = r

So screw A will have
$diameter = 2 \times r = 2 \times 3731.76 = 7463.52$ inches

Similarly for choice (E) area is $1.428 \times 10^{1} = 14.28$
so again plug in formula

$A = \pi r^{2}$

$14.28 = \pi r^{2}$

$\frac{14.28}{\pi} = \frac{\pi r^{2}}{\pi}$

$4.5477 = r^{2}$

$\sqrt{4.5477} = \sqrt{r^{2}}$

2.13201 = r

So screw E will have
$diameter = 2 \times r = 2 \times 2.13201 = 4.26402$ inches

So diameters of all screws are as follows:

Screw A: 7463.52 inches
Screw B: 1.5 inches
Screw C: $1\frac{7}{8} = \frac{1\times 8+7}{8} = \frac{15}{8} = 1.875$ inches
Screw D: 0.25 inches
Screw E: 4.26402 inches

Comparing all numbers 7463.52, 1.5, 1.875, 0.25, 4.26402 we can see that smallest number is 0.25, then comes 1.5, then 1.875 and then 4.26402 and then 7463.52

So order from least to greatest will be screw D (0.25), B(1.5), C(1.875), E (4.26402), A (7463.52).

So thats the order D,B,C,E,A and the final answer