The solid triangular prism shown below is made from metal . The prism is melted down and the metal is used to create a solid cube. Find the side length of the cube. For the triangle, the base is 9cm, Height is 4cm, and Length is 12cm.

Answer:

x=2

Step-by-step explanation:

X^2+5x-14=0

x^2-2x+7x-14=0

7x-14=0

x=2

Let the cost price of article be x :

x + x × ( 15/100 ) = 2300

x + x × ( 5 × 3 / 5 × 20 ) = 2300

x + x × ( 3 / 20 ) = 2300

x + ( 3 × x / 20 ) = 2300

x + ( 3x / 20 ) = 2300

( 20x / 20 ) + ( 3x / 20 ) = 2300

20x + 3x / 20 = 2300

23x / 20 = 2300

Multiply both sides by 20

( 23x / 20 ) × 20 = 2300 × 20

23x = 2300 × 20

23x = 23 × 2000

Divide both sides 23

23x ÷ 23 = ( 23 × 2000 ) ÷ 23

x = Rs 2000

Answer:

I. L = 78 metros

II. W = 34 metros.

Step-by-step explanation:

Sabemos que un campo deportivo tiene forma rectangular.

Dados los siguientes datos;

Perímetro del rectángulo = 224 m

Traduciendo el problema verbal a una expresión algebraica, tenemos;

W = ⅓L + 8 = L/3 + 8

Matemáticamente, el perímetro de un rectángulo viene dado por la fórmula;

P = 2 (largo + ancho)

Sustituyendo en la ecuación, tenemos;

224 = 2(L + [L/3 + 8])

224 = 2L + 2L/3 + 16

Reordenando la ecuación (recolectando términos semejantes), tenemos;

224 - 16 = 2L + 2L/3

224 - 16 = 8L/3

208 = 8L/3

Multiplicación cruzada, tenemos;

8L = 208 * 3

8L = 624

L = 624/8

L = 78 metros

Para encontrar el ancho;

W = L/3 + 8

W = 78/3 + 8

W = 26 + 8

W = 34 metros.

Answer:

8 °C

Step-by-step explanation:

Step 1: Given data

Initial temperature value (T1): -10 °C

Final temperature value (T2): -2 °C

Step 2: Calculate the change in temperature from the morning to the afternoon

To calculate the change in the temperature, we have to perform the subtraction T2 - T1.

ΔT = T2 - T1 = (-2 °C) - (-10 °C) = -2 °C + 10 °C = 8 °C

The temperature change is positive, meaning that the temperature increased.

Answer:

6

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse

a^2 + 8^2 = 10^2

a^2 +64=100

a^2 = 100-64

a^2 = 36

Take the square root of each side

sqrt(a^2) = sqrt(36)

a = 6

Answer:

6.25

Step-by-step explanation:

4+3 ÷ 4×3 = 6.25

or

25/4

or

6 1/4

Answer:

Step-by-step explanation:

First, draw the diagram.

We have the variable, l.

Then, we have:

tan angle=opposite/adjacent

So plug it in, it will be:

tan 60=l/50m

So then l=tan60*50m.

tan60=1.732

l=1.732*50m

and so out answer ends up being 86.6m.

Note: I don't know if this is the best way but...that's how I did it.

Answer:

i think the answer is B

Step-by-step explanation:

5=6-1

5=5

just need to get the equations equal together then solve for x which will give u the x-coordinate of intersection then u need to put it in which equation u want to find the y-coordinate of intersection point :

2x + 1 = 3x - 1

Add both sides 1

2x + 1 + 1 = 3x - 1 + 1

2x + 2 = 3x

Subtract both sides 2x

2x - 2x + 2 = 3x - 2x

x = 2

( This is the x-coordinate of intersection point )

_________________________________

Now to find the y-coordinate of the intersection point we have to put the value of x we found in of the equations :

y = 2x + 1

y = 2(2) + 1

y = 4 + 1

y = 5

_________________________________

Thus :

intersection point = ( 2 , 5 )

So the correct answer is option B .

Answer:

1, 3, 5 are correct

Step-by-step explanation:

1. (3.4a – 1.7b) + (2.5a – 3.9b) = 5.9a - 5.6b

2. (2.5a + 1.6b) + (3.4a + 4b) =   5.9a + 5.6b

3. (–3.9b + a) + (–1.7b + 4.9a) = 5.9a - 5.6b

4. –0.4b + (6b – 5.9a) = 5.9b - 5.6a

5. 5.9a – 5.6b = 5.9a – 5.6b

Answer:

Symbol

Step-by-step explanation:

the object symbolizes something else

Answer:

C. Symbol

Step-by-step explanation:

Symbol-a mark or character used as a conventional representation of an object, function, or process, e.g. the letter or letters standing for a chemical element or a character in musical notation.

Answer:

8

Step-by-step explanation:

y = 2x^2 -10

Let x = -3

y = 2( -3)^2 -10

y = 2 (9) -10

y = 18-10

y = 8

Answer:

148 i think i’m not sure

Step-by-step explanation:

Answer:

Hello! answer: b = 24

Step-by-step explanation:

25 × 25 = 625 7 × 7 = 49 625 - 49 = 576 24 × 24 = 576 therefore b = 24 hope that helps!

Answer:

area of circle=π[tex]r^{2}[/tex]

452.1=3.14[tex]r^{2}[/tex]

452.1/3.14=[tex]r^{2}[/tex]

143.98=[tex]r^{2}[/tex]

[tex]\sqrt{143.98}[/tex]=r

11.99=r

now ,

diameter=2r

=2*11.99

=23.98

Step-by-step explanation:

Answer:  [tex]y=0.5x+7[/tex]

Step-by-step explanation:

Given

Pizza hut charges $7 for a cheese pizza

Each additional topping costs $0.50

Considering y as the cost of pizza and x be the amount of topping added

Cost of a pizza with toppings

[tex]\Rightarrow y=0.5x+7[/tex]

Here, the slope of the equation is [tex]0.5[/tex]

Y-intercept is equivalent to price of base pizza i.e. [tex]7[/tex]

Answer:

i believe the answer would be -1 and 6

Answer:

Coordinates are (5,0) & (7,0)

Just refer to the point where the graph intersects the x-axis I think.

Answer:

jason shdudbuasd

Step-by-step explanation:

Answer:

y = 2x + 5

Step-by-step explanation:

(-5 , -5)  & (-1 , 3)

Slope =[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]

         [tex]=\frac{3-[-5]}{-1-[-5]}\\\\=\frac{3+5}{-1+5}\\\\=\frac{8}{4}\\\\= 2[/tex]

m = 2 & (-5 , -5)

Y -y1 = m(x -x1)

y - [-5] = 2(x - [-5] )

y + 5 = 2 (x + 5)

y+ 5 = 2x + 2*5

   y = 2x + 10 - 5

   y = 2x + 5

Answer:

72 miles / gallon

Step-by-step explanation:

1080/15 = x/1

1080 / 15 = 72

72 miles on 1 gallon

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

6/5

Step-by-step explanation:

-3/5-(-2/15)+5/6

-3/5+2/15+5/6

=-3+2×5/15 + 5/6. (taking lcm)

=-3+6/15+5/6

=3/15+5/6

=3+5×3/15 (taking lcm)

=18/15

=6/5

Answer:

Step-by-step explanation:

-3/5-(-2/15)+5/6

=-3/3+2/15(take lcm of 3 and 15)+5/6

=-3*3+2*1/15+5/6

=-9+2/15+5/6

=-7/15+5/6(take lcm of 15 and 6)

=-7*2+5*5/30

=-14+25/30

=11/30

=11/30

Answer:

[tex]\frac{3}{38}[/tex]

Step-by-step explanation:

[tex]\frac{6}{20}\cdot \frac{5}{19}=\frac{30}{380}=\boxed{\frac{3}{38}}[/tex]

Answer:

3/38

Step-by-step explanation:

So, you add the total numbers of socks and the total is 20. Since there is 6 white socks the first time you pick, your first fraction is 6/20 (3/10). So since you didn't put the first sock back, now the probability of picking another white sock is 5/19. So now multiply your fractions, and your answer should be 15/190 (Simplifyed 3/38)

Answer:

60%

Step-by-step explanation:

There are 50 girls and 30 of them prefer Snap.

30/50*100 = 60% of the girls.

Answer:

7.66 km

Step-by-step explanation:

2.1x3.6=

2.1x6=1.26

2.1x3=6.40

1.26+6.40=7.66

Answer:

answer is in the picture

Answer:

8.94

Step-by-step explanation:

Given that

qs = 12cm

qr = 8cm

Required

rs

Using the pythagoras theorem

Let us assume qs is the hypotenuse side

qs² = qr² + rs²

12² = 8² + rs²

144 = 64 +rs²

rs² = 144 - 64

rs² = 80

rs = √80

rs = 8.94

Hence the value of rs is 8.94

Answer:

2

Step-by-step explanation:

This is because any of the sides can be the one measuring 3 inches. Since it is a triangle, the sum of angles is 180. Let the third angle be x.

So, x + 90° + 70° = 180°

x + 160° = 180°

x = 180° - 160°

x = 20°

So, the third angle is 20°.

If the included side is a side other than the hypotenuse side, we can find it by applying the sine rule.

The included side can be either side other than the hypotenuse.

Also, either of the third angle in each triangle can be 20°

So, we have two sides and two triangles.

If the included side is the hypotenuse side, we use Pythagoras' theorem to find the length of the other two sides (and they must be equal)since the angle between the two sides is a right-angle, that is, 90°.

Since the other two angles are not equal, we cannot have a triangle with two equal sides and an hypotenuse. That is, we cannot have an isosceles triangle. So, no third triangle.

So, the total number of triangles that can be drawn with one 90° angle, a 70° angle and an included side measuring 3 inches is 2.

Answer:

20.78

Step-by-step explanation:

sin a = perpendicular/ hypotenuse

where a is the base angle

here a = 60

sin 60 = 18/ x

since,

[tex] \sin(60) = \ \frac{ \sqrt{3} }{2}[/tex]

[tex] \frac{ \sqrt{3} }{2} = \frac{18}{x} [/tex]

√3 x = 36

x = 36/ √3

x = 36/ 1.732

x = 20.78

Answer:

Step-by-step explanation:

Hi there!

[tex]\large\boxed{\text{ B. } y = 1x - 1}[/tex]

Recall that the equation of a line is:

y = mx + b, where:

m = slope

b = y-value of the y-intercept.

We are given that the slope is 1 and the y-intercept is -1, so:

m = 1

b = -1

The correct equation is B. y = 1x - 1