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Dafna11 [192]
2 years ago
7

How much greater than n-11 is n+3

Mathematics
2 answers:
jekas [21]2 years ago
7 0

Answer:

use symbolab it is great for thease hope this helps

Step-by-step explanation:

GenaCL600 [577]2 years ago
3 0

Answer:

14 units greater.

Step-by-step explanation:

Subtracting:

n + 3 - (n - 11)

= n - n + 3 + 11

= 14.

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A square pyramid has sides of 8 m. Each face is an equilateral triangle. What is the lateral area of the pyramid?
tia_tia [17]

Answer:

The lateral area is equal to

LA=64\sqrt{3}\ m^{2}

Step-by-step explanation:

In this problem the lateral area is equal to the area of one equilateral triangle multiplied by 4

To find the area of one equilateral triangle calculate the height

The area of the triangle is equal to

A=\frac{1}{2}bh

we have

b=8\ m

Applying the Pythagoras theorem

h^{2}=8^{2} -4^{2} \\h^{2}=64-16\\ h=\sqrt{48} \\ h=4\sqrt{3}\ m

The area of one triangle is equal to

A=\frac{1}{2}(8)(4\sqrt{3})\ m^{2}

so

The lateral area is equal to

LA=4\frac{1}{2}(8)(4\sqrt{3})=64\sqrt{3}\ m^{2}

3 0
1 year ago
In the isosceles △ABC m∠ACB=120° and AD is an altitude to leg BC . What is the distance from D to base AB , if CD=4cm?
7nadin3 [17]

Correct answer is: distance from D to AB is 6cm

Solution:-

Let us assume E is the altitude drawn from D to AB.

Given that m∠ACB=120° and ABC is isosceles which means

m∠ABC=m∠BAC = \frac{180-120}{2}=30

And AC= BC

Let AC=BC=x

Then from ΔACD , cos(∠ACD) = \frac{DC}{AC} =\frac{4}{x}

Since DCB is a straight line m∠ACD+m∠ACB =180

                                              m∠ACD = 180-m∠ACB = 60

Hence cos(60)=\frac{4}{x}

          x=\frac{4}{cos60}= 8

Now let us consider ΔBDE, sin(∠DBE) = \frac{DE}{DB} =\frac{DE}{DA+AB} = \frac{DE}{4+8}

DE = 12sin(30) = 6cm

7 0
2 years ago
Fifty specimens of a new computer chip were tested for speed in a certain application, along with 50 specimens of chips with the
Murljashka [212]

Answer:

Under 99% confidence level we can say that mean speed of the new chips is greater than that of the old chips

Step-by-step explanation:

H_{0}: Mean speed of the new chip is the same as the old chip

H_{a}: Mean speed of the new chip is greater than the old chip

to calculate the z-statistic we can use the formula:

z=\frac{M_{n}-M_{o}}{\sqrt{\frac{s_{n}^2}{N_{n}} +\frac{s_{o}^2}{N_{o}} } }

if we put the numbers then

z=\frac{495.6-481.2}{\sqrt{\frac{19.4^2}{65}} +\frac{14.3^2}{65} } } =4.8171

The probability of this z-statistic is < 0.001 Therefore Under 99% confidence level we can say that mean speed of the new chips is greater than that of the old chips

4 0
1 year ago
at an amusement park, Robin bought a t-shirt for $8 and 5 ticket for ride. she spent a total of $23. How much did each ticket co
Elanso [62]

Each ticket cost $3

8+5x=23

5x=15

x=3

3 0
2 years ago
Read 2 more answers
Please help me on this question
Serggg [28]
    -4 = 8m + 18n
-18n = 8m + 4
 /-18    /-18  /-18
     n = 8m/-18 + 4/-18
     
I'm not sure so yeah
7 0
2 years ago
Read 2 more answers
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