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sladkih [1.3K]
2 years ago
7

What’s the answer guy in need it in 5 minutes

Mathematics
1 answer:
Elanso [62]2 years ago
7 0
Y= -2/3x+490
slope= -2/3
y-int = 490 i believe
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Find the value of the length <br> x<br> rounded to 1 DP.
bagirrra123 [75]

Length of x is 98.2 m

<u>Step-by-step explanation:</u>

Step 1:

Use the trigonometric ratio tan 27° to find the common side of both the right angled triangles.

tan 27° = opposite side/adjacent side = opposite side/9

∴ Opposite side = 9 tan 27° = 9 × - 3.27 = -29.46 m

Step 2:

Use this side and trigonometric ratio cosine to find the value of x.

cos 49° = adjacent side/x = -29.46/x

∴ x = -29.46/cos 49° = -29.46/0.30

     = 98.2 m (negative value neglected)

5 0
3 years ago
Read 2 more answers
Maths<br><br>what is 0.000965 to :<br>2 d.p<br>1d.p<br>2s.g.f<br>3s.g.f<br> thanks
umka21 [38]
Decimal places mean we just start counting immediately after the decimal point, so:
2dp: 0.00
1dp: 0.0

Significant figures, we start counting starting at the first non zero number
So we start counting at the 9, therefore:
2sf: 0.00097
3sf: 0.000965
4 0
3 years ago
Punctele O, A, B, C sunt coliniare în această ordine, iar segmentele OA, AB și BC au lungimile exprimate în cm, prin numere natu
julia-pushkina [17]

Răspuns:

a) OC = 18cm

b) MN = 6cm

Explicație pas cu pas:

Găsiți diagrama la întrebarea atașată.

a) Din diagramă se poate observa că OC = OA + AB + AC

OC = 2n + 2n + 2 + 2n + 4

OC = 6n + 6

Următorul este să obțineți valoarea lui n:

OM = OA + AM

Să obținem segmentul AM;

Deoarece M este segmentul mijlociu al AC, atunci;

AM = AC / 2

AM = AB + BC / 2

AM = 2n + 2 + 2n + 4/2

AM = 4n + 6/2

AM = 2n + 3

Din moment ce OM = OA + AM

OM = 2n + 2n + 3

OM = 4n + 3

Dat fiind OM = 11

11 = 4n + 3

4n = 11-3

4n = 8

n = 2

Următorul pas este să calculați OC;

OC = 6n + 6

OC = 6 (2) + 6

OC = 18

Prin urmare, lungimea segmentului OC este de 18 cm

b) Această întrebare ne cere să găsim segmentul de linie MN.

Din diagramă, MN = AM - AN

Deoarece AM = 2n + 3 din întrebarea 1;

AM = 2 (2) +3

AM = 4 + 3

AM = 7

Acum, să obținem AN:

Din diagramă, AN = ON-OA și ON = OB / 2

AN = OB / 2 - OA

AN = (2n + 2n + 2) / 2 - 2n

AN = 4n + 2/2 - 2n

AN = 2n + 1 - 2n

AN = 2n-2n + 1

AN = 1

De la MN = AM - AN

MN = 7 - 1

MN = 6cm

Prin urmare, distanța dintre N, mijlocul segmentului OB și punctul M este de 6cm

6 0
3 years ago
Let a, n, b, r, and k be integers. If a = nb+r and k|a and k|b, then k|r
Kryger [21]

Answer:

Proof for k|r

Step-by-step explanation:

We are given that a, n, b, r and k are integers.

Also,

a = nb + r

Since k divides a and b, we can write,

a = rk and b = sk, where r and s are integers.

Now, we have to prove that k divides r as well that is k|r

Putting value of a and b in the equation, we get:

rk = n(sk) + r\\r = rk - nsk\\r = (r-sn)k

Since, (r-sn) is an integer, k divides r.

5 0
3 years ago
What is the simplified form of 24 y to the eighth power over 15 x to the fifth power divided by 8 y to the fourth power over 4 x
Gnoma [55]


the answer to the question

7 0
3 years ago
Read 2 more answers
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