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Grace [21]
3 years ago
6

3. The positive root of 154 is located between which two consecutive integer values?

Mathematics
2 answers:
telo118 [61]3 years ago
6 0

Answer:

Step-by-step explanation:

12²=144

√144=12

13²=169

√169=13

√154 lies between 12 and 13.

lesantik [10]3 years ago
4 0

Answer:

between 12 and 13

Step-by-step explanation:

answer is 12.4

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The probability of Jane wins a game is 7/10. Jane plays a game 50 times. Find the number of times she is expected to win the gam
viktelen [127]

Answer:

35 times

Step-by-step explanation:

7/10 * 50 = 35

3 0
2 years ago
What percent of 1,360,720,000 is 24,151,500?
Artist 52 [7]
1,360,720,000/24,151,500=56.34%(rounded)
7 0
3 years ago
Calculate the area of the triangle with the following vertices (3, -7), (6, 4), (-2, -3)
Monica [59]

Answer:

\boxed{\mathsf{A} \triangle = \red{\dfrac{67}{2}u.a}}

Step-by-step explanation:

Let's follow up with the solution. Considering a triangle with the vertices \mathsf{A(x_A, y_A)}, \mathsf{B(x_B, y_B)} and \mathsf{C(x_C, y_C)}, have a look at the representation in the cartesian plan.

From this representation we can say that the area (A) of a triangle through the knowledge of <u>analytical geometry</u> is given by the determinant of the vertices divided by two, mathematically,

\mathsf{A} \triangle =  \dfrac{\left| \begin{array}{ccc}  \mathsf{x_A} & \mathsf{y_A }& 1 \\  \mathsf{x_B} &  \mathsf{ y_B} & 1 \\ \mathsf{ x_C} &  \mathsf{ y_C} & 1 \end{array} \right|}{2}

So, applying this knowledge we're going to have,

\mathsf{A} \triangle =  \dfrac{\left| \begin{array}{ccc}  3 & -7 & 1 \\ 6 &  4 & 1 \\ -2 &  -3 & 1 \end{array} \right|}{2}

\mathsf{A} \triangle =  \dfrac{1}{2}\left[  \left.\begin{array}{ccc}   3 & -7 & 1 \\ 6 &  4 & 1 \\ -2&  -3 & 1 \end{array}  \right| \begin{array}{cc} 3 & -7 \\ 6 & 4 \\ -2 & -3 \end{array} \right]

\mathsf{A} \triangle = \dfrac{12 + 14 - 18 - (-8 - 9 - 42)}{2}

\red{\mathsf{A} \triangle = \dfrac{67}{2} = 33,5u.a}

Hope you enjoy it, see ya!)

\green{\mathsf{FROM}}: Mozambique, Maputo – Matola City – T-3

DavidJunior17

3 0
3 years ago
(Need 3 answers) An entomologist discovered a new insect species. The population of the insect species can be modeled by P(n) =
Strike441 [17]

Answer:

  • See below

Step-by-step explanation:

<u>According to the model, the equation is:</u>

  • P(n) = 3450*bⁿ

Based on the equation, the initial number of insects is 3450

<u>If b = 1.75, daily growth rate is:</u>

  • 1.75 - 1 = 0.75 = 75%

<u>If  we get P(4) = 55200, find the value of b:</u>

  • 55200 = 3450*b⁴
  • b⁴ = 55200/3450
  • b⁴ = 16
  • b⁴ = 2⁴
  • b = 2
3 0
2 years ago
Find the distance between (-4,2) and (10,2).
satela [25.4K]

Answer:

14

Step-by-step explanation:

1) To find the distance between two points you'll need to use the distance formula:

d=\sqrt{(x1 - x2)^{2} + (y1 - y2)^{2} }

2) Figure out which points you'll want to set:

(x1,y1) = (-4,2) (x2,y2) = (10,2)

3) Substitute your values into the formula:

= \sqrt{(-4 - 10)^{2} + (2-2)^{2} }\\= \sqrt{(-14)^{2} + (0)^{2} }\\= \sqrt{196 }\\= 14

8 0
3 years ago
Read 2 more answers
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