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ella [17]
3 years ago
10

Rob is making a scale model of the Solar System on the school field. He wants the distance from the Sun to Jupiter to be 8 metre

s on his scale model. The real distance from the Sun to Jupiter is 7.8 × 10 8 kilometres. Find the scale of the model. Give your answer in the form 1 : n , where n is written in standard form.
Mathematics
1 answer:
ANEK [815]3 years ago
3 0

Answer:

1 : 9.75 * 10⁷

Step-by-step explanation:

To find n, we have to divide the real distance by the scale distance. This is 7.8 * 10⁸ / 8 = 0.975 * 10⁸ = 9.75 * 10⁷ which means that the ratio is 1 : 9.75 * 10⁷.

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four times daphne's age plus five times isaac's age adds up to 57. also, isaac's age is 11 less than twice daphne's age. how old
Talja [164]
4d + 5i = 57
i = 2d - 11

4d + 5(2d - 11) = 57
4d + 10d - 55 = 57
14d = 57 + 55
14d = 112
d = 112/14
d = 8 <== Daphne's age

i = 2d - 11
i = 2(8) - 11
i = 16 - 11
i = 5 <==Isaac's age
5 0
3 years ago
Two angles in a triangle measure 102 degrees and 67 degrees. What is the measure of the third angle?
Nat2105 [25]

Answer:

11 degrees

Step-by-step explanation:

The sum of the interior angles of a triangle is 180 degrees.

From 180 degrees we subtract the sum of 102 degrees and 67 degrees, obtaining 11 degrees (first answer choice)

3 0
3 years ago
PLEASE HELP ME <br>Multiply the monomials: <br><br>a2x5b, −0.6axb2 and 0.6a2b3
Tanzania [10]

Answer:

-0.36 a^{5}b^{6} x^{6}

Step-by-step explanation:

Given:

a^2x^5b,,\ -0.6axb^2,\ and\ 0.6a^2b^3

Required

Multiply

The above can be written as

a^2x^5b * -0.6axb^2\ * \ 0.6a^2b^3

Split the above expression

a^2*x^5*b * -0.6*a*x*b^2\ * \ 0.6*a^2*b^3

Collect like terms

-0.6 * 0.6 * a^2*a*a^2*b *b^2 *b^3*x^5*x

Apply first law on indices

-0.36  * a^{2+1+2} *b^{1+2+3} *x^{5+1}

-0.36  * a^{5} *b^{6} *x^{6}

-0.36 a^{5}b^{6} x^{6}

Hence, a^2x^5b * -0.6axb^2\ * \ 0.6a^2b^3 is equivalent to -0.36 a^{5}b^{6} x^{6}

8 0
3 years ago
Given: ΔXYZ AB is a midsegment parallel to XY. The slope of AB is 2 3 . What is the slope of XY?
stich3 [128]
The slope of XY is the same as the slope of AB because XY is parallel to AB. Parallel lines have the same slope. 
5 0
3 years ago
Read 2 more answers
Find the value for x? X-5+5x-12=25
levacccp [35]
X-5+5x-12=25
x+5x=25+5+12
6x=42
x=42/6
x=7
5 0
3 years ago
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