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Gelneren [198K]
3 years ago
5

Task is to construct two brick columns of the dimensions shown on which an iron gate will eventually be hung. Because the bricks

measure 8" long by 3 1/2" wide by 21/2" high, you decide to build each column by laying the bottom row of
bricks as shown.
How much ground area will be covered by the first row of bricks laid (both columns) as shown above?
sq. in.

Mathematics
1 answer:
lidiya [134]3 years ago
5 0

Answer:

224 in²

Step-by-step explanation:

16 × 14 = 224 in²

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Need help with this question; What is the measure of one leg of a right angle given that the hypotenuse measure 14cm and the oth
melamori03 [73]

Answer:

11.5 cm

Step-by-step explanation:

The dimensions of a right angled triangle can be determined using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c = hypotenuse

a² + 8² = 14²

a² + 64 = 196

a² = 196 - 64

a² = 132

find the square root of 132

a = 11.5 cm

3 0
2 years ago
Will mark brainliest! Questions are in the picture!
alexdok [17]

Answer:

52.9 inches .

Step-by-step explanation:

Given that the triangular indentation has an area of 100 in.² and the base and height of this traingle are represented by expressions 3x and x+3 respectively . We need to find out the <u>perimeter </u>to the nearest tenth.

As we know that the area of triangle is ,

\rm\longrightarrow Area_{\triangle}=\dfrac{1}{2}(base)(height)

Substituting the respective values,

\rm\longrightarrow 100\ =\dfrac{1}{2}(x+3)(3x)\\\\\rm\longrightarrow 2(100) = 3x(x+3)\\\\\rm\longrightarrow200 = 3x^2+9x\\\\\rm\longrightarrow 3x^2+9x-200=0

On using the <u>Quadratic</u><u> formula</u> , we have;

\rm\longrightarrow x =\dfrac{-9\pm\sqrt{9^2-4(3)(-200)}}{2(3)} \\\\\rm\longrightarrow x =\dfrac{-9\pm \sqrt{81+1200}}{6}\\\\\rm\longrightarrow x =\dfrac{-9\pm \sqrt{1281}}{6}

On simplifying above , we will get ,

\rm\longrightarrow x = 6.802,-9.802

Since sides can't be negative, therefore,

\rm\longrightarrow\underline{\underline{ x =6.802}}

Therefore ,

  • \rm\longrightarrow Base = 3x =3(6.802)in = 20.406\ in\\
  • \rm\longrightarrow Height = x +3=6.802+3=9.802\ in

Next let's find out the <u>hypotenuse </u>using Pythagoras theorem, as ;

\rm\longrightarrow h=\sqrt{ b^2+p^2}\\

\rm\longrightarrow h =\sqrt{ (20.406)^2+(9.802)^2}\\

\rm\longrightarrow h =\sqrt{416.40+96.07}\\

\rm\longrightarrow h = 22.63\ in

Now we may find perimeter as ,

\rm\longrightarrow P = p + b + h \\

\rm\longrightarrow P = (22.63 + 9.802 + 20.406)in.

\\\rm\longrightarrow P = 52.89 \ in.\\

\rm\longrightarrow \underline{\underline{ Perimeter = 52.9\ in .}}

8 0
2 years ago
BC<br> Round your answer to the nearest hundredth.<br> А<br> 65°<br> 6<br> B<br> ?
belka [17]

Answer:

90

Step-by-step explanation:

4 0
2 years ago
On a car trip, Ben drove 65 miles more than half the number of miles Steve drove. Together they drove 500 miles. How many miles
tatyana61 [14]

Answer:

210 miles

Step-by-step explanation:

Let's represent it mathematically.

Ben drove 65 miles more than half the number of miles Steve drove, so we represent it by

B = 65 + ½S

It is also said that together, they drove 500 miles, we represent it with.

B + S = 500

Now, we solve simultaneously.

Let's eliminate the ½ in Ben's drive. So we multiply the equation by 2.

2B = 130 + S.

Rearranging, we have

S = 2B - 130.

We substitute this value of S, in the second equation. So we have.

B + (2B - 130) = 500, open the brackets

B + 2B - 130 = 500

3B - 130 = 500, collecting the like terms

3B = 500 + 130

3B = 630

B = 630/3

B = 210 miles.

Therefore, Ben drove 210 miles.

Kindly vote Brainliest.

7 0
3 years ago
If log a 2 and log b 3 what is the numerical value of
Scilla [17]
I guess the question is incomplete...
4 0
3 years ago
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