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3 years ago

14

A triangle has a base of 10 inches and a height of 12 inches.

1 answer:

Travka [436]3 years ago

6 0

To find the area is base × hight
10 in × 12 in= 120 in2

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Solve the system y= 4x + 1 and 3x+2y =13

Irina18 [472]

Given :

${\qquad \sf \dashrightarrow y= 4x + 1 \: –––– \sf \: (i)}$

${\qquad \sf \dashrightarrow 3x + 2y = 13 \: –––– \sf \: (ii)}$

Now, Substituing the value of y in equation (ii) :

${\qquad \sf \dashrightarrow \: 3x + 2y = 13 }$

${\qquad \sf \dashrightarrow \: 3x + 2(4x + 1) = 13 }$

${\qquad \sf \dashrightarrow \: 3x + 8x + 2 = 13 }$

${\qquad \sf \dashrightarrow \: 11x + 2 = 13 }$

${\qquad \sf \dashrightarrow \: 11x = 13 - 2 }$

${\qquad \sf \dashrightarrow \: 11x = 11 }$

${\qquad \sf \dashrightarrow \: x = \dfrac{11}{11} }$

${\qquad \sf \dashrightarrow \bf \: x = 1 }$

Now, substituting the value of x in equation (i) :

${\qquad \sf \dashrightarrow y= 4x + 1}$

${\qquad \sf \dashrightarrow y= 4(1) + 1}$

${\qquad \sf \dashrightarrow y= 4 + 1}$

${\qquad \bf \dashrightarrow y= 5}$

3 0

2 years ago

Imagine a population of birds with an initial size of 100, a per-capita birth rate of 2, and a per-capita death rate of 1 per ye

Soloha48 [4]

Answer:

3200

Step-by-step explanation:

Given that:

The initial population of birds $N_0$ = 100

The time duration t = 5 years

Growth rate (r) = (Birth - Death) rate

= 2 - 1

= 1 / year

∴

using the discrete-time form:

$N_t = N_o (1 + r )^t$

$N_t = 100 (1 + 1 )^5$

$N_t = 100 (2 )^5$

$N_t = 100 \times 32$

$N_t = 3200$

8 0

2 years ago

Can somebody help me with this question please

harina [27]

Answer:

34

Step-by-step explanation:

Points B,C,D, and E are points on the edge of the circle.

$\angle BCD$ and $\angle BED$ are in the same segment.

We have that: $\angle BCD=34\degree$

We want find $m\angle BED$

Recall that angles in the same segment are congruent.

$\therefore \angle BED=\angle BCD=34$

So the answer is 34

3 0

3 years ago

Evelyn has $524.96 in her checking account. She must maintain a $500 balance to avoid a fee. She wrote a check for $32.50 today.

postnew [5]

Answer:

You answer would be $7.54

Step-by-step explanation:

You need to subtract 32.50 from 524.96. That would be 492.46. Then subtract 492.46 from 500. Hope that helps!!

4 0

2 years ago

Which of the following is a correct unit of weight: kilogram, newton, grams, slugs

AveGali [126]

Answer:

gram

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers