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IgorLugansk [536]
3 years ago
9

Determine the area of the triangular ABC with AC =5cm and height DB=30mm​

Mathematics
1 answer:
seropon [69]3 years ago
4 0

Answer:

Step-by-step explanation:

AC² = AD² + DB ²

25 = AD² + 9

AD²= 25 - 9

AD² = 16

AD = 4

Area = 4*3 /2

= 6cm

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-8x2(x+8)=8(2+6) how do i solve this and 4n+3/2=2n-5/1?
Marat540 [252]

1) -8x^2\left(x+8\right)=8\left(2+6\right)

-8x^3-64x^2=64

-8x^3-64x^2-64=64-64

-8x^3-64x^2-64=0

-8x^2+0.97035\dots x-7.88051\dots \approx \:0

x\approx \:-8.12129\dots

2) 4n+\frac{3}{2}=2n-\frac{5}{1}

4n+\frac{3}{2}=2n-5

4n+\frac{3}{2}-\frac{3}{2}=2n-5-\frac{3}{2}

4n=2n-\frac{13}{2}

4n-2n=2n-\frac{13}{2}-2n

2n=-\frac{13}{2}

\frac{2n}{2}=\frac{-\frac{13}{2}}{2}

n=-\frac{13}{4}

6 0
3 years ago
Calculate the area of each shape below. Figures are not drawn to scale.
STatiana [176]

Answer:

The area of the triangle is 168 meters

Step-by-step explanation:

<u>Formula to find the area of a triangle:</u>

<em>Area = 1/2 Base x Height</em>

<u>So, first you need to identify the base and the height. The base is 16m + 8m, and the height is 14m. All you have to do is plug in the numbe</u>rs:

Area = 1/2 (16 + 8) x 14

<u>Then, you solve:</u>

Area = 1/2 (16 + 8) x 14

Area = 1/2 24 x 14

Area = 1/2 336

Area = 168 meters

So, the area of the triangle is 168 meters

6 0
3 years ago
1_9,644=100,000 to the nearest ten thousand
laiz [17]
119,644 is the answer I believe
7 0
4 years ago
Suppose that $p$ and $q$ are positive numbers for which \[\log_9 p = \log_{12} q = \log_{16} (p + q).\] what is the value of $q/
SVEN [57.7K]

Given p,q>0 and \log_9p=\log_{12}q=\log_{16}(p+q)=x (say).

Then,

p=9^x\\ q=12^x\\ p+q=16^x

From the above 3 equations,

\frac{q}{p} =(\frac{12}{9} )^x\\ \frac{q}{p} =(\frac{4}{3} )^x\\ \frac{p+q}{p} =(\frac{16}{9} )^x\\ \frac{p+q}{p} =(\frac{4}{3} )^{2x}\\

From the equations, we get

\frac{p+q}{p}=(\frac{q}{p})^2\\ 1+\frac{q}{p}=(\frac{q}{p})^2\\ (\frac{q}{p})^2-\frac{q}{p}-1=0\\ \frac{q}{p}=\frac{1 \pm \sqrt{5}}{2}

Since p,q>0, the negative value is rejected.

\frac{q}{p}=\frac{1 + \sqrt{5}}{2}

3 0
4 years ago
Questions 33-36 I don’t know how to find the answer and I need help on how I can find the answer
bulgar [2K]
The answer is 90, 25, 155, 115 respectively
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3 years ago
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