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mash [69]
2 years ago
12

In the system below, what is the value of k if x = 4? What is the solution to the system?

Mathematics
1 answer:
notka56 [123]2 years ago
8 0
5 is the solution your welcome
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PLS HELP ASAP ILL GIVE BRAINLKEST THANKS
pshichka [43]

Answer:

C

Step-by-step explanation:

y = 10

x = 8

The y intercept is 0 and the line runs through (0,0)

m = y / x This formula can only be used when the y incept is 0.

m = 10/8

m = 5/4

Equation

y = 5/4 x

3

8 0
2 years ago
Here is a triangular pyramid and its net.
bazaltina [42]

Answer:

a) Area of the base of the pyramid = 15.6\ mm^{2}

b) Area of one lateral face = 24\ mm^{2}

c) Lateral Surface Area = 72\ mm^{2}

d) Total Surface Area = 87.6\ mm^{2}

Step-by-step explanation:

We are given the following dimensions of the triangular pyramid:

Side of triangular base = 6mm

Height of triangular base = 5.2mm

Base of lateral face (triangular) = 6mm

Height of lateral face (triangular) = 8mm

a) To find Area of base of pyramid:

We know that it is a triangular pyramid and the base is a equilateral triangle. \text{Area of triangle = } \dfrac{1}{2} \times \text{Base} \times \text{Height} ..... (1)\\

{\Rightarrow \text{Area of pyramid's base = }\dfrac{1}{2} \times 6 \times 5.2\\\Rightarrow 15.6\ mm^{2}

b) To find area of one lateral surface:

Base = 6mm

Height = 8mm

Using equation (1) to find the area:

\Rightarrow \dfrac{1}{2} \times 8 \times 6\\\Rightarrow 24\ mm^{2}

c) To find the lateral surface area:

We know that there are 3 lateral surfaces with equal height and equal base.

Hence, their areas will also be same. So,

\text{Lateral Surface Area = }3 \times \text{ Area of one lateral surface}\\\Rightarrow 3 \times 24 = 72 mm^{2}

d) To find total surface area:

Total Surface area of the given triangular pyramid will be equal to <em>Lateral Surface Area + Area of base</em>

\Rightarrow 72 + 15.6 \\\Rightarrow 87.6\  mm^{2}

Hence,

a) Area of the base of the pyramid = 15.6\ mm^{2}

b) Area of one lateral face = 24\ mm^{2}

c) Lateral Surface Area = 72\ mm^{2}

d) Total Surface Area = 87.6\ mm^{2}

3 0
3 years ago
Find the future value if £7400 is<br> invested for 6 years at 12.8% p.a.
Free_Kalibri [48]

Answer:

5683.2 Euro's

Step-by-step explanation:

i=

p=7400 Euro's

r=12.8*1/100

t=6yrs

I=P*R*T

7400*12.8/100*6

=5683.2 Euro's

5 0
3 years ago
What is 261 divided by 7.6
GenaCL600 [577]
It would be 34.34 Hope this helps! :)
4 0
3 years ago
Read 2 more answers
How many ounces are in 4 pounds and 7 ounces?
hram777 [196]

Answer:

4*16=64. 64+7=71. 71 is the answer

7 0
3 years ago
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