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3 years ago

Having trouble understanding....please help me.

Mathematics

1 answer:

Svetlanka [38]3 years ago

8 0

Answer:

3:2

Step-by-step explanation:

Triangles ABC and PMN are similar. This is evident from the marks identifying equal angles.

The ratio of the two longest sides is 20:30, or 2:3.

The ratio of the two shortest sides is 12:18, or 2:3.

Finally, the ratio of the two sides of intermediate length is 16:24, or 2:3.

The scale factor of the alrger triangle to the smaller triangle is 3:2.

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Fill in the missing number to complete the factorization:

IrinaVladis [17]

The last terms must multiply to the last terms (confusing)

example

if ax^3+bx^2+c+d=(ex+f)(gx+h)(jx+k) then
d=fhk

so

70 is last term
we got 2 and 5
2*5*?=70
10*?=70
divide by 10
?=7

the missing number is 7

6 0

3 years ago

Describe the region enclosed by the circle x^2 +y^2 = 11x in polar coordinates.

vivado [14]

Answer:

the region of the circle in polar coordinate can be expressed as:

$\mathbf{- \dfrac{\pi}{2} \leq \theta \leq \dfrac{\pi}{2} , 0 \leq r \leq 11 cos \theta}$

Step-by-step explanation:

Given that:

$x^2 +y^2 = 11x$

This implies that :

$(x-5.5)^2 + y^2 = 5.5^2$

center (5.5, 0) and radius = 5.5

The relation between the cartesian coordinates (x,y) and the polar coordinates (r, θ) is as follows:

x = rcosθ

y = rsinθ

Thus, $x^2 + y^2 = r^2$

$x^2 + y^2 = 11x$

$(rcos \theta)^2 + (r sin \theta)^2 = 11(rcos \theta)$

$r^2 = 11r cos \theta$

Thus, the angle θ runs between $- \dfrac{\pi}{2}$ to $\dfrac{\pi}{2}$

Therefore, the region of the circle in polar coordinate can be expressed as:

$\mathbf{- \dfrac{\pi}{2} \leq \theta \leq \dfrac{\pi}{2} , 0 \leq r \leq 11 cos \theta}$

7 0

4 years ago

If kenny earns 142% of Benny's Salary, how mucho more does Kenny earn than Benny

Sergeeva-Olga [200]

Let Benny's salary = $ K

But kenny earns 142% of Benny's Salary

So, Kenny's salary = 142%of K

Kenny's salary =K $\times \frac{142}{100}$

Kenny's salary = 1.42K

Kenny's income exceeds Benny's by =1.42K - K =$0.42 K

% by which Kenny's salary exceeds by Benny's = $\frac{0.42 \text K}{\text K} \times 100$

% by which Kenny's salary exceeds by Benny's = 42%

8 0

4 years ago

3 posters cost 24.50, so how many can you buy with 171.50

Ilia_Sergeevich [38]

Answer:

Step-by-step explanation:

24.50 / 3 = 49/6

5 0

3 years ago

Read 2 more answers

Help please no links and not bots

goldfiish [28.3K]

Answer:

75=5*3*5

Step-by-step explanation:

5*3=15

15*5=75

5 0

3 years ago