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4 years ago

Solve the following question Find X,Y Please help I need this done by today.

Mathematics

1 answer:

Katarina [22]4 years ago

6 0

Answer:

x = 3, y = 2

Step-by-step explanation:

The triangles are similar, thus the ratios of corresponding sides are equal, that is

$\frac{x}{6}$ = $\frac{1.5}{3}$ ( cross- multiply )

3x = 9 ( divide both sides by 3 )

x = 3

and

$\frac{y}{4}$ = $\frac{1.5}{3}$ ( cross- multiply )

3y = 6 ( divide both sides by 3 )

y = 2

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The mass of the sun is 2.13525×10^30 kilograms. The mass of Mercury is 3.285×10^23 kilograms.

Rama09 [41]

Answer:

The mass of Sun is $65\times 10^5$ times greater than mass of Mercury.

Step-by-step explanation:

We are given that

Mass of the sun= $M=2.13525\times 10^{30}$ kg

Mass of Mercury, $m=3.285\times 10^{23}$ kg

We have to find how many times greater is the mass of the sun than the mass of Mercury.

Mass of sun/Mass of mercury= $\frac{2.13525\times 10^{30}}{3.285\times 10^{23}}$

Mass of sun/Mass of mercury $=0.65\times 10^{30-23}$

Using the property

$a^x/a^y=a^{x-y}$

Mass of sun/Mass of mercury $=0.65\times 10^{7}$

Mass of sun/Mass of mercury $=65\times 10^5$

Mass of Sun= $65\times 10^5$ times Mass of Mercury

Hence, the mass of Sun is $65\times 10^5$ times greater than mass of Mercury.

8 0

3 years ago

Estimate the square root of 90 to the nearest tenth

frutty [35]

<span>Square root of 90 to the nearest tenth 9.5</span>

8 0

4 years ago

7^(x+4)=-34 solve for x

damaskus [11]

for
x^m=y
that means
$log_x(y)=m$
so

$7^{x+4}=-34$ means

$log_7(-34)=x+4$
minus 4 from both sides
$log_7(-34)-4=x$

6 0

4 years ago

Find the equation for the parabola that passes through the point (-2,-4), with vertex at (3,1) and a vertical axis

Igoryamba

Answer:

see explanation

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (3, 1), hence

y = a(x - 3)² + 1

To find a substitute (- 2, - 4) into the equation

- 4 = a(- 2 - 3)² + 1

- 4 = 25a + 1 ( subtract 1 from both sides )

25a = - 5 ( divide both sides by 25 )

a = - $\frac{5}{25}$ = - $\frac{1}{5}$

y = - $\frac{1}{5}$ (x - 3)² + 1 ← in vertex form

7 0

4 years ago

Need help on geomtry homework

Oksi-84 [34.3K]

Answer:

Perimeter = 42 cm

Step-by-step explanation:

XY = 8 cm because ΔWXZ ≅ ΔYZX

Perimeter = 8 + 14 + 20 = 42 cm

4 0

3 years ago