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Anna [14]
4 years ago
12

10/9 = 9/y y= something What is the y?

Mathematics
2 answers:
Leto [7]4 years ago
6 0
\frac{10}{9} = \frac{9}{y} \ \ \ \ \ \ \ \ \ \ \ \ |\hbox{cross multiply} \\
10 \times y=9 \times 9 \\
10y=81 \ \ \ \ \ \ \ \ \ \ |\div 10 \\
y=\frac{81}{10} \\ \\
\boxed{y=\frac{81}{10}}
ikadub [295]4 years ago
3 0
10/9 = 9/y

Cross multiply

10*y=(9)*(9)

10y=81

Divide both sides by 10.

10y/10=81/10

y=81/10


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When the sides are congruent (same direction and size), and the two opposite sides are parallel, the angles are the same. In an isosceles triangle, two angles are congruent, because two sides are congruent. 
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ABCD ≅ FGHJ. Find the measure of the given angles or lengths of the given sides. CD = 2x + 3; HJ = 3x + 2.
xenn [34]
The question asks for the length of CD and HJ. To find those, we need to find a connection between them.

In the given statement, it says ABCD ≅ FGHJ. When we look at the equation, the corresponding letters are equal. For example, angle A is congruent to Angle F. Or BC ≅ GH.

So we know that CD and HJ are congruent.
Set them equal:
2x + 3 = 3x + 2
Subtract 2x from both sides:
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Subtract 2 from both sides:
x = 3
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3 0
3 years ago
Use the alternative form of the dot product to find u · v.
vodka [1.7K]

Answer:

Step-by-step explanation:

u = 45

v = 30

Angle between them, θ = 5π / 6 = 150°

(a) The formula for the dot product is given by

\overrightarrow{u}.\overrightarrow{v}= u v Cos\theta

\overrightarrow{u}.\overrightarrow{v}= 45 \times 30 \times Cos150

\overrightarrow{u}.\overrightarrow{v}= -1169.13

(b) \overrightarrow{u}=Cos\frac{\pi }{3}\widehat{i}+Sin\frac{\pi }{3}\widehat{j}

\overrightarrow{u}=0.5\widehat{i}+0.866\widehat{j}

\overrightarrow{v}=Cos\frac{2\pi }{3}\widehat{i}+Sin\frac{2\pi }{3}\widehat{j}

\overrightarrow{v}=-0.707\widehat{i}+0.707\widehat{j}

Let the angle between them is θ

The formula in terms of the dot product is given by

Cos\theta =\frac{\overrightarrow{u}.\overrightarrow{v}}{u v}

u=\sqrt{0.5^{2}+0.866^{2}}=1

v=\sqrt{-0.707^{2}+0.707^{2}}=1

Cos\theta =\frac{0.5 \times (-0.707) + 0.866 \times 0.707)}{1\times 1}

Cos\theta=0.2587

θ = 75°

(c) \overrightarrow{u}=1\widehat{i}+4\widehat{j}+8\widehat{k}

u=\sqrt{1^{2}+4^{2}+8^{2}}=9

Cos\alpha =\frac{1}{9}

Cos\beta =\frac{4}{9}

Cos\gamma  =\frac{8}{9}

7 0
4 years ago
Factorise polynomial<br> 27y3 + 125z3<br><br>​
tresset_1 [31]

Answer:

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Therefore:

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=\left(3y+5z\right)\left(9y^2-15yz+25z^2\right)

6 0
3 years ago
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