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ahrayia [7]
2 years ago
10

Please somone help me 40 points will mark brainliest

Mathematics
2 answers:
cestrela7 [59]2 years ago
7 0

Answer:

the answer is in the picture below

Step-by-step explanation:

Andreas93 [3]2 years ago
4 0

1. We're doubling to go from ABDC to A'B'D'C'.  So AB=15 becomes A'B'=30 cm and BD=8 becomes B'C'=16 cm.  Please see attached figure.

2. We have equal ratios

40:50:60 = 30:37.5:45

Let's check that.  30/40=3/4, 37.5/50=3/4, 45/20=3/4, all ratios the same, similar triangles.

We see the meets of the longest side and the shortest side are B and Z respectively.

The meets of the longest side and the medium side are C and X.

The meets of the short side and medium side are A and Y.

Pairing them up we have our

Answer: ABC ~ YZX

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dalvyx [7]
Y - y₁ = m(x - x₁)
y - 5 = -2(x - 3)
y - 5 = -2(x) + 2(3)
y - 5 = -2x + 6
  + 5          + 5
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3 0
3 years ago
Richard, Henry and Gavin share some sweets in the ratio 4:1:3. Richard gets 7 more sweets than Gavin. How many sweets does Henry
N76 [4]

Answer:

7 sweets for Henry

Step-by-step explanation:

Let their respective shares be 4x,x,and 3x for Richard,Henry and Gavin

If Richard gets 7 more sweets than Gavin then the difference between their shares is 7 that is

4x-3x=7

x=7

To find Henry's share,

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3 0
2 years ago
Find the surface area of the pyramid .The surface of the pyramid is _ in2 (Type a whole number .)
garik1379 [7]

Given the figure of a square pyramid

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14\cdot14=196in^2

the area of the sides = 4 times the area of a triangle of a base of 14 in and a height of 12 in

so, the area of the sides =

4\cdot\frac{1}{2}\cdot\text{base}\cdot\text{height}=4\cdot\frac{1}{2}\cdot14\cdot12=336in^2

So, the surface area of the pyramid =

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7 0
1 year ago
If cos theta= -8/17 and theta is in quadrant 3, what is cos2 theta and tan2 theta
Karo-lina-s [1.5K]
\bf cos(\theta)=\cfrac{adjacent}{hypotenuse}\qquad  
\begin{array}{llll}
\textit{now, hypotenuse is always positive}\\
\textit{since it's just the radius}
\end{array}
\\\\\\
thus\qquad cos(\theta)=\cfrac{-8}{17}\cfrac{\leftarrow adjacent=a}{\leftarrow  hypotenuse=c}

since the hypotenuse is just the radius unit, is never negative, so the - in front of 8/17 is likely the numerator's, or the adjacent's side

now, let us use the pythagorean theorem, to find the opposite side, or "b"

\bf c^2=a^2+b^2\implies \pm\sqrt{c^2-a^2}=b\qquad 
\begin{cases}
c=hypotenuse\\
a=adjacent\\
b=opposite
\end{cases}
\\\\\\
\pm\sqrt{17^2-(-8)^2}=b\implies \pm\sqrt{225}=b\implies \pm 15=b

so... which is it then? +15 or -15? since the root gives us both, well
angle θ, we know is on the 3rd quadrant, on the 3rd quadrant, both, the adjacent(x) and the opposite(y) sides are negative, that means,  -15 = b

so, now we know, a = -8, b = -15, and c = 17
let us plug those fellows in the double-angle identities then

\bf \textit{Double Angle Identities}
\\ \quad \\
sin(2\theta)=2sin(\theta)cos(\theta)
\\ \quad \\
cos(2\theta)=
\begin{cases}
cos^2(\theta)-sin^2(\theta)\\
\boxed{1-2sin^2(\theta)}\\
2cos^2(\theta)-1
\end{cases}
\\ \quad \\
tan(2\theta)=\cfrac{2tan(\theta)}{1-tan^2(\theta)}\\\\
-----------------------------\\\\
cos(2\theta)=1-2sin^2(\theta)\implies cos(2\theta)=1-2\left( \cfrac{-15}{17} \right)^2
\\\\\\
cos(2\theta)=1-\cfrac{450}{289}\implies cos(2\theta)=-\cfrac{161}{289}




\bf tan(2\theta)=\cfrac{2tan(\theta)}{1-tan^2(\theta)}\implies tan(2\theta)=\cfrac{2\left( \frac{-15}{-8} \right)}{1-\left( \frac{-15}{-8} \right)^2}
\\\\\\
tan(2\theta)=\cfrac{\frac{15}{4}}{1-\frac{225}{64}}\implies tan(2\theta)=\cfrac{\frac{15}{4}}{-\frac{161}{64}}
\\\\\\
tan(2\theta)=\cfrac{15}{4}\cdot \cfrac{-64}{161}\implies tan(2\theta)=-\cfrac{240}{161}
6 0
3 years ago
Determine the value of 'X
Nikolay [14]

Answer:

x=22° hope it helps:)

Step-by-step explanation:

Please mark it the brainliest if you won't mind:)

(:

4 0
3 years ago
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