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2 years ago

Does someone mind helping me with this answer? Thank you!

Mathematics

1 answer:

Lera25 [3.4K]2 years ago

3 0

Something that you should remember is that the sum of the angles of a triangle add up to 180°.

Since we are given 100° and that the other two angles are equal, we can set up an equation like this:

$180=100+2x$ , where x is the 2 angles.

Doing the math, the measure of each unknown angles is 40°.

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Ksivusya [100]

The answer is the first one

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3 years ago

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A quantity with an initial value of 6200 decays continuously at a rate of 5.5% per month. What is the value of the quantity afte

ELEN [110]

Answer:

410.32

Step-by-step explanation:

Given that the initial quantity, Q= 6200

Decay rate, r = 5.5% per month

So, the value of quantity after 1 month, $q_1 = Q- r \times Q$

$q_1 = Q(1-r)\cdots(i)$

The value of quantity after 2 months, $q_2 = q_1- r \times q_1$

$q_2 = q_1(1-r)$

From equation (i)

$q_2=Q(1-r)(1-r) \\\\q_2=Q(1-r)^2\cdots(ii)$

The value of quantity after 3 months, $q_3 = q_2- r \times q_2$

$q_3 = q_2(1-r)$

From equation (ii)

$q_3=Q(1-r)^2(1-r)$

$q_3=Q(1-r)^3$

Similarly, the value of quantity after n months,

$q_n= Q(1- r)^n$

As 4 years = 48 months, so puttion n=48 to get the value of quantity after 4 years, we have,

$q_{48}=Q(1-r)^{48}$

Putting Q=6200 and r=5.5%=0.055, we have

$q_{48}=6200(1-0.055)^{48} \\\\q_{48}=410.32$

Hence, the value of quantity after 4 years is 410.32.

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3 years ago

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Carlos had $65.00 in his checking account. By mistake he wrote out a check for $82.00. By how much is his checking account overd

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3 years ago

At top speed ,a rabbit can cover 7 miles in 12 mins . how long would it take them to cross 220 miles

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377 min..............

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Dvinal [7]

Answer B

Explanation: Y=mx+b
M=slope and b=yintercept

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