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3 years ago

9

Help me please with this geometry

1 answer:

Tasya [4]3 years ago

6 0

All Triangles are equilateral ( each side = 4)

Area of a Triangle is (B x H)/2. B being the base ( 4) & H the altitude.

WE know that altitude in an equilateral triangle, H = ( side x√3)/2

So H= (4√3)/2 = 2√3

The area of one triangle = (4 x 2√3)/2 = 4√3

And for the 3 triangles the lateral area = (4√3) x 3 = 12√3

You might be interested in

A biology test is worth 100 points and has 36 questions.

Ad libitum [116K]

Answer:

(a) 7 essays and 29 multiple questions

(b) Your friend is incorrect

Step-by-step explanation:

Represent multiple choice with M and essay with E.

So:

$M + E= 36$ --- Number of questions

$2M + 6E = 100$ --- Points

Solving (a): Number of question of each type.

Make E the subject of formula in $M + E= 36$

$E = 36 - M$

Substitute 36 - M for E in $2M + 6E = 100$

$2M + 6(36 - M) = 100$

$2M + 216 - 6M = 100$

Collect Like Terms

$2M - 6M = 100 - 216$

$-4M = - 116$

Divide both sides by -4

$M = \frac{-116}{-4}$

$M = 29$

Substitute 29 for M in $E = 36 - M$

$E = 36 - 29$

$E = 7$

Solving (b): Can the multiple questions worth 4 points each?

It is not possible.

See explanation.

If multiple question worth 4 points each, then

$2M + 6E = 100$ would be:

$4M + xE = 100$

Where x represents the number of points for essay questions.

Substitute 7 for E and 29 for M.

$4 * 29 + x * 7 = 100$

$116 + 7x = 100$

Subtract 116 from both sides

$116-116 + 7x = 100 -116$

$7x = 100-116$

$7x = -16$

Make x the subject

$x = -\frac{16}{7}$

Since the essay question can not have worth negative points.

Then, it is impossible to have the multiple questions worth 4 points

<em>Your friend is incorrect.</em>

6 0

3 years ago

I have asked so many times and no one will answer. :(

andrew-mc [135]

Answer:

1) $\frac{1}{2^7}$ ; 2) $11^7$

Step-by-step explanation:

1) Using the Power of a Fraction Rule $(\frac{a}{b} )^x = (\frac{a^x}{b^x} )$ ,

$(\frac{1}{2} )^7 = (\frac{1^7}{2^7} )$ , which can just be simplified to $\frac{1}{2^7}$ .

2) Using the Negative Exponent Rule, $a^{-x} = \frac{1}{a^{x}}$ ,

$(\frac{1}{11} )^{-7} = \frac{1}{\frac{1}{11^7}}$ , which can be simplified to $11^7$ .

4 0

3 years ago

A football player is running the length of a 100 yard long football field. For the first part of the field, he runs at a rate of

notka56 [123]

Answer:

$\frac{2}{5}$ th part of the field is covered in the second sprint.

Step-by-step explanation:

A football player is running the length of a 100 yard long football field.

Let player sprints x yards with the speed = 2 yards per second.

So time taken to cover x yards player will take time = $\frac{x}{2}$ seconds

Now rest distance (100 - x) yards when covered with the speed of 4 yards per second, so time taken to cover this distance = $\frac{Distance}{Speed}$

= $\frac{100-x}{4}$ seconds

Now total time taken by the player can be represented by the equation

$\frac{x}{2}+\frac{100-x}{4}=40$

Now we can solve this equation for the value of x.

$\frac{2x+100-x}{4}=40$

x + 100 = 40×4

x + 100 = 160

x = 160 - 100 = 60 yards

And length of the second part will be = 100 - 60 = 40 yards

Now the fraction of the field covered by the player in second sprint will be

= $\frac{40}{100}$

= $\frac{2}{5}$ or 40%

Therefore, $\frac{2}{5}$ th part of the field was covered in second sprint.

5 0

3 years ago

The area of parallelogram WXYZ is approximately 45 square units.

neonofarm [45]

Answer:

Option (4)

Step-by-step explanation:

Area of a triangle = $\frac{1}{2} (a.b.\text{Sin}\theta)$

Where a and b are the sides of a triangle and θ is the angle between the sides a and b.

By this rule,

Area of ΔWZY = $\frac{1}{2}(\text{WZ}).(\text{YZ}).\text{Sin}(115)$

45 = $\frac{1}{2}(\text{YZ}).(10).\text{Sin}(115)$

9 = (YZ).Sin(115)°

YZ = $\frac{9}{\text{Sin}(115)}$

YZ = 9.93

Perimeter of parallelogram WXYZ = WX + XY + YZ + WZ

= 9.93 + 10 + 9.93 + 10

= 39.86

≈ 40 units

Therefore, perimeter of the parallelogram is 40 units.

Option (4) is the answer.

4 0

3 years ago

kramer

The arc is defined by an angle of 1.05 radians, and a length of 1.05 units.

<h3 /><h3>How to get the angle in radians?</h3>

Remember the relation:

180° = 3.14 radians.

Then:

60° = (60°/180°)*3.14 rad = 1.05 rad.

Now, for a circle of radius R, an arc defined by an angle θ has a length:

L = θ*R

Then the length of this arc is:

L = 1.05*1 unit = 1.05 units.

If you want to learn more about arcs:

brainly.com/question/2005046

#SPJ1

6 0

2 years ago