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2 years ago

Help within 10 min pleeeeeeeeeease

Mathematics

2 answers:

sineoko [7]2 years ago

4 0

The answer should be 75

kkurt [141]2 years ago

3 0

Answer:

Step-by-step explanation:

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PLEASE HELP ASAP !!

ololo11 [35]

Answer:

Step-by-step explanation:

ML is the short side of right triangle MLK. MJ is the hypotenuse of right triangle MKJ. This gives you a clue that the ratios of interest are the short side to the hypotenuse. All these right triangles are similar, so ...

ML/MK = MK/MJ . . . . . ratio of short side to hypotenuse is the same

ML·MJ = MK² . . . . . . . cross multiply

MK = √(ML·MJ) . . . . . the geometric mean of ML and MJ is MK

7 0

3 years ago

If w = 12 units, x = 7 units, and y = 8 units, what is the surface area of the figure? Figure is composed of a right square pyra

bearhunter [10]

Answer:

720 sq units.

Step-by-step explanation:

Length and width of square prism, w = 12 units

Height of square prism, x = 7 units

Height of square pyramid, y = 8 units

Please have a look at the attached image.

Here 2 Surfaces will not be exposed which are base of the square pyramid and the top of the square prism i.e. 2 square surfaces will not be exposed.

Here, surface area of the composite figure will be:

<em>Surface Area of Composite Figure = Lateral surface area of Square Pyramid + Surface Area of 5 surfaces of the square prism</em>

For finding the lateral surface area of pyramid, we need to find the slant height of the pyramid.

Let slant height be $l$ units.

Using pythagoras theorem, we can find out the value of $l$ .

As per theorem:

$Hypotenuse^{2} = Base^{2} + Height^{2}\\$

$\Rightarrow l^{2} = (\dfrac{w}{2})^{2} + y^{2}\\\Rightarrow l^{2} = (\dfrac{12}{2})^{2} + 8^{2}\\\Rightarrow l^{2} = {6}^{2} + 8^{2}\\\Rightarrow l^{2} = 36+64 = 100\\\Rightarrow l = 10\ units$

Lateral surface area of square prism = 4 $\times$ Area of triangular surface

$\Rightarrow 4 \times \dfrac{1}{2}\times Base \times Slant\ Height\\\Rightarrow 4 \times \dfrac{1}{2} \times 10 \times 12\\\Rightarrow 240\ sq\ units$

Surface Area of 5 surfaces of the square prism =

$4 \times x \times w + w^2\\\Rightarrow 4 \times 12 \times 7 + 12^2\\\Rightarrow 336 +144\\\Rightarrow 480\ sq\ units$

So, total surface area of composite figure:

240 + 480 = 720 sq units.

7 0

3 years ago

Solve the equation : 2x + 7 = 21 and find the value of x. Is 2x + 7 = 21 a first degree equation or not?

Paraphin [41]

Answer:

The proposed equation is solved as follows:

2X + 7 = 21

2X = 21 - 7

2X = 14

X = 14 / 2

X = 7

The value of X is 7.

A first degree equation is an algebraic equation in which each term is either a constant or a product of a fixed term on a single variable. Therefore, this equation is a first degree one, since it only has a single variable, which is X.

4 0

2 years ago

Write the number 9.359 × 105 in standard form.

Rama09 [41]

Answer:

982.695

Step-by-step explanation:

9.359 x 105 = 982.695

6 0

4 years ago

<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B4%7D%7B3%7D%20%20%3D%20%20%5Cfrac%7Bx%7D%7B6%7D%20" id="TexFormula1" title=" \fra

timurjin [86]

$\bf \cfrac{4}{3}=\cfrac{x}{6}\implies \stackrel{\textit{cross-multiplying}}{(6)4=(3)x}\implies 24=3x\implies \cfrac{24}{3}=x\implies 8=x$

5 0

3 years ago