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2 years ago

11) Find the value for x for both diagrams please help me

Mathematics

1 answer:

inysia [295]2 years ago

3 0

Answer:

Step-by-step explanation:

11 a).

20x + 5 + 24x - 1 = 180

44x = 176

x = 176 / 44

x = 4

b). 6x = 5x + 10

x = 10

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In one baseball season, Peter hit twice the difference of the number of home runs Alice hit and 6. Altogether, they hit 18 home

Nuetrik [128]

P = 2(A - 6)
P + A = 18

sub eq 1 into eq 2
2(A - 6) + A = 18
2A - 12 + A = 18
3A - 12 = 18
3A = 18 + 12
3A = 30
A = 30/3
A = 10 <=== Alice hit 10

P = 2(A - 6)
P = 2(10 - 6)
P = 2(4)
P = 8 <=== Peter hit 8

6 0

3 years ago

if a ball is thrown into the air with a velocity of 40 ft s its height in feet after t seconds is given by s(t)=40t-16t2 find th

dalvyx [7]

Answer with Step-by-step explanation:

We are given that a ball is thrown into the air with velocity

$v=40ft/s$

Height after t seconds is given by

$s(t)=40t-16t^2$

We have to find the average velocity for the ball during the time [1,2].

We know that average velocity= $\frac{ds}{dt}$

Average velocity=v= $\frac{d(40t-16t^2)}{dt}=40-32t$

Substitute t=1 then we get

Average velocity= $40-32(1)=40-32=8 m/s$

Substitute t=2 then

Average velocity= $40-32(2)=40-64$

Average velocity[/tex]=-24 m/s[/tex]

4 0

3 years ago

Simplify the expression below -3(10x + 4y) + 6(6x − 2y)

iren [92.7K]

Answer:

6x - 24y

Explanation:

Expand -3(10x + 4y): -30x - 12y

= $\bold{-30x-12y+6\left(6x-2y\right)}$

Simplify $\bold{-30x-12y+6\left(6x-2y\right): \ 6x-24y}$

= 6x - 24y

Mordancy.

3 0

3 years ago

Read 2 more answers

DUPLICATE. WITH ATTACHMENTS

Inessa05 [86]

7.) Area of a square pyramid is given by A = s^2 + 2sl; where s is the side length of the base and l is the slant height.
Area of given pyramid = 4^2 + (2 x 4 x 7) = 16 + 56 = 72 ft^2

8.) Area of the given pyramid is the area of the hexagonal base plus the area of the six slant triangles.
Area of hexagonal base = (3sqrt(3))/2 x 10^2 = 150 x 1.732 = 259.8
Area of the 6 traingles = 6(1/2 x 10 x 13) = 6 x 65 = 390
Total surface area of the pyramid = 259.8 + 390 = 649.8 ≈ 650 m^2

9.) Using pythagoras rule, the slant height is sqrt(6^2 + 3.5^2) = sqrt(36 + 12.25) = sqrt(48.25) = 6.9 mm

10.) The surface area of a cone is given by πr^2 + πrl
Area = π x 6^2 + π x 6 x 20 = 36π + 120π = 490.1 cm^2

11.) l = sqrt(r^2 + h^2) = sqrt(11^2 + 16^2) = sqrt(121 + 256) = sqrt(377) = 19m

6 0

3 years ago

Need a little help with one please

Pani-rosa [81]

Answer:

That would be the side-side-side (SSS) postulate, which states that if all the sides of a triangle are in a fixed ratio to all the corresponding sides of another triangle, then the two triangles are said to be congruent.

Step-by-step explanation:

Looking at triangles ABC and DEF, we notice that:

$\frac{AB}{DE} = \frac{AC}{DF}=\frac{BC}{EF}$

since

$\frac{3}{18} = \frac{6}{36}=\frac{7}{42}=\frac{1}{6}$

Let me know if you have further questions.

4 0

3 years ago