Answer:
b = 18 m
c = 19.5 m
h = 9 m
Step-by-step explanation:
Call the smaller solid the original one, and call the larger solid the scaled one.
1. Find the scale factor
scale factor = length in scaled one / corresponding length in original one
scale factor = 7.5/5 = 1.5
The scale factor is 1.5
That means if you multiply any linear dimension of the original one by 1.5, you get the corresponding dimension of the scaled one.
Let's check our scale factor to make sure it's correct.
We see that the 5 m side corresponds to the 7.5 m side.
5 m * 1.5 = 7.5 m
Multiplying an original length by the scale factor of 1.5 gives us the scaled up length, so our scale factor of 1.5 is correct. Now we apply the scale factor of 1.5 to find b, c, and h.
b corresponds to 12 m
b = 12 m * 1.5 = 18 m
c corresponds to 13 m
c = 13 m * 1.5 = 19.5 m
h corresponds to 6 m
h = 6 m * 1.5 = 9 m
Answer:
b = 18 m
c = 19.5 m
h = 9 m
Answer:
14.88 resmas
Step-by-step explanation:
Los maestros de una escuela planean enviar 6 boletines al año a cada una de las 620 familias con estudiantes en la escuela.
Esto significa: El número total de boletines que recibe cada familia = 6 × 620 familias
= La escuela envía 3720 boletines cada año
Cada uno de los boletines necesita 2 hojas de papel.
1 boletín = 2 hojas de papel
3720 boletines =
Cruz multiplicar
3720 boletines × 2 hojas
= Se necesitan 7440 hojas de papel en un año
El papel se vende en resmas de 500 hojas.
¿Cuál es la cantidad mínima de resmas de papel necesarias para imprimir los boletines escolares en un año?
500 hojas de papel = 1 resma
7440 hojas de papel = y
Cruz multiplicar
500 × y = 7440 × 1
y = 7440/500
y = 14.88 resmas
La cantidad mínima de resmas de papel necesarias para imprimir los boletines escolares en un año es 1488 resmas
Answer:
Step-by-step explanation:
we have the triangle GHJ
If the segment side GH is equal to the segment JH
then
The triangle GHJ is an isosceles triangle
Remember that
An isosceles triangle has two equal interior angles and two equal sides
so
m∠G=m∠J
we have
m∠G=(7x+5)°
m∠J=(x+47)°
equate the equations
(7x+5)°=(x+47)°
Solve for x
Answer:
The cost of one taco is $0.87 and the cost of one enchilada is $1.16
Step-by-step explanation:
Let the cost of tacos be X
and cost of enchiladas be y
So, by using given data, we have following equations
3X + 2Y = 4.93 (1)
2X + 4Y = 6.38 (2)
So, first multiply 1st equation by 2 and 2nd equation by 3, then subtracting 1st equation by 2nd.
= 2 × ( 3X + 2Y = 4.93) (1)
= 3 × (2X + 4Y = 6.38) (2)
= - (6X + 4Y = 9.86) (1)
= 6X + 12y = 19.14 (2)
= 8Y = 9.28
Y = 9.28 ÷ 8 = 1.16
By putting the value of Y in equation 1, we get
3X + 2(1.16) = 4.93
3X + 2.32 = 4.93
X = 2.61 ÷ 3 = 0.87
Hence, the cost of one taco is $0.87 and the cost of one enchilada is $1.16.
