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Tema [17]
3 years ago
11

Two similar solids A and B are shown.

Mathematics
1 answer:
sammy [17]3 years ago
5 0

Answer:

a)

Step-by-step explanation:

a)140cm3-60cm3=60cm of solid C

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Solve the system of equations using elimination/combinations-2x -y = -4 x + 2y =5
sweet-ann [11.9K]

Answer:

x = 1, y = 2

Step-by-step explanation:

In the elimination method to solve a system of linear equations, one of the two equations is added/subtracted to the other, in order to eliminate one variable from the equation.

In this problem, we have the following two equations:

-2x-y=-4\\x+2y=5

To solve the system, first we multiply by 2 both sides of the second equation, and we get:

2(x+2y)=2(5)\\2x+4y=10

So now the system is

-2x-y=-4\\2x+4y=10

Now we add the two equations, and we get:

(-2x+2x)+(-y+4y)=(-4+10)\\3y=6

So, we get

y=\frac{6}{3}=2

Now we can substitute this value of y into the eq.(2), and we get:

x+2y=5\\x+2(2)=5\\x+4=5\\x=5-4=1

3 0
3 years ago
Two sides of a triangle are perpendicular. If the two sides are 8cm and 6cm, calculate correct to the next degree, the smallest
Sati [7]

\boxed{Given:}

Length of the perpendicular ( opposite ) = 6 cm.

Length of the base ( adjacent ) = 8 cm.

\boxed{To\:find:}

The smallest angle of the triangle.

\boxed{Solution:}

\sf\purple{C.\:37°} ✅

\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}

In a right-angled triangle, if two sides are given, the measure of the unknown angle can be known.

Since the value of opposite and adjacent sides are given, we use the tangent formula.

tan θ = \frac{opposite}{adjacent}

✒ tan θ = \frac{6 \: cm}{8 \: cm}

✒ θ = {tan}^{ - 1} (0.75)

✒ θ = 36.9°

✒ θ = 37°

Now let us find the other unknown angle 'x'.

We know that,

Sum of angles of a triangle = 180°

✒ 37° + x + 90° = 180° (90° since it is a right-angled triangle)

✒ x + 127° = 180°

✒ x = 180° - 127°

✒ x = 53°

Therefore, the three angles of the triangle are 37°, 53° and 90°.

Hence, the smallest angle is 37°.

\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}

7 0
3 years ago
Please help me answer this i will give brainliest and 5 star rating!!
wel
X = 14 inches.

you can solve this by using proportions.
8/20 = x/35
280 = 20x
/20 /20
14 = x
3 0
3 years ago
If you have 3,000,456 cars and some one stole 20,113 what is the answer
yarga [219]
3000456-20113= 2980343
6 0
4 years ago
Solve 1 x 1<br> + 15 = y when x = 2.
Artyom0805 [142]

Answer:

18=y

Step-by-step explanation:

Assuming that your equation is 1x+1+15=y, you would first substitute in the 2: (1*2)+1+15=y

Next, simplify and combine like terms: 2+16=y

Finally, simplify again to get the answer: 18=y

5 0
3 years ago
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