Ask question

Ask question

All categories

3 years ago

7

The square root of 40 is between which two integers?

1 answer:

KATRIN_1 [288]3 years ago

6 0

Answer:

6 & 7

hope it helps plz mark brainliest

You might be interested in

The angle between a diagonal and the longer base of the isosceles trapezoid MNFD is 45°. NK is an altitude to the longer base. I

Elanso [62]

Answer:

$NK \approx 7.001$ , $MK = 2$ , $MF \approx 7.001$ , $A_{AMNFD} = 49.007$

Step-by-step explanation:

According to the statement, we find the following inputs:

$\angle MDK = \angle DMF = 45^{\circ}$ (Due to the condition of isosceles trapezoid)

$MD = 9$

$NF = 5$

Given than longer base and shorter base are parallel to each other, we conclude that:

$\angle KND = 180^{\circ} -\angle NKD - \angle KDN$

$\angle KND = 180^{\circ}-90^{\circ}-45^{\circ}$

$\angle KND = 45^{\circ}$

$\angle FND = 90^{\circ}-\angle KND$

$\angle FND = 45^{\circ}$ (By definition of complementary angles)

$\angle FND = \angle NFM = 45^{\circ}$ (Due to the condition of isosceles trapezoid)

$\angle MDK = \angle DMF = \angle FND = \angle NFM = 45^{\circ}$

$\angle NOF = \angle MOD = \angle MOF = \angle FOD = 90^{\circ}$ (By definitions of complementary and vertical angles and the theorem that states that sum of internal angles within a triangle equals 180º)

$MO = DO = \frac{\sqrt{2}}{2}\cdot MD$ (By theorem for 45-45-90 Right Triangle)

$NO = OF = \frac{\sqrt{2}}{2}\cdot NF$ (By theorem for 45-45-90 Right Triangle)

If we know that $MD = 9$ and $NF = 5$ , then we find that:

$DO = MO \approx 6.364$

$NO = OF \approx 3.536$

The value of MK is obtained from the following relationship:

$MK = \frac{MD-NF}{2}$

$MK = \frac{9-5}{2}$

$MK = 2$

And the value of KD is calculated from this expression:

$KD = MD-MK$

$KD = 9-2$

$KD = 7$

Now by the Pythagorean Theorem we find that:

$NK = \sqrt{(NO+DO)^{2}-KD^{2}}$

$NK = \sqrt{9.9^{2}-7^{2}}$

$NK \approx 7.001$

And considering the symmetry characteristics of an isosceles trapezoid, we determine MF:

$MF = NO + DO \approx 7.001$

Lastly, the area of the isosceles trapezoid is determined by the following formula:

$A_{AMNFD} = NF\cdot NK + MK\cdot NK$

$A_{AMNFD} = NK\cdot (NF+MK)$

If we know that $NK \approx 7.001$ , $NF = 5$ and $MK = 2$ , then the area of the figure is:

$A_{AMNFD} = (7.001)\cdot (5+2)$

$A_{AMNFD} = 49.007$

8 0

3 years ago

Help meeeee please. ‼️‼️‼️‼️

KatRina [158]

Step-by-step explanation:

look at the picture !

she has to paint actually 6 rectangles :

the 3 tops of the 3 stairs.

and the 3 vertical front boards (the front of each step of the stairs).

what is the area of these rectangles ? summing up all 6 - that is the surface area to be painted.

each top rectangle is clearly

82×19 (19 cm deep) = 1558 cm²

each front board is

82×12 (12 cm high) = 984 cm²

so, in total we have

3×1558 + 3×984 = 4674 + 2952 = 7626 cm²

as surface area to be painted.

8 0

2 years ago

What is the value of 4 cubed

weeeeeb [17]

4^3
the value would be
64

8 0

3 years ago

Read 2 more answers

Est. Length: 2:00:00

Aleks [24]

Answer:

?????

Step-by-step explanation:

?????

6 0

3 years ago

I don’t understand 7B please help...

joja [24]

Answer:

see explanation

Step-by-step explanation:

let w represent the width then length = w + 7

The perimeter of the rectangle = 2w + 2(w + 7) = 2w + 2w + 14 = 4w + 14

The perimeter is given as 54 m, thus

4w + 14 = 54 ( subtract 14 from both sides )

4w = 40 ( divide both sides by 4 )

w = 10

Thus

width of playground = w = 10 m

length of playground = w + 7 = 10 + 7 = 17 m

7 0

3 years ago

Read 2 more answers