Answer: 16/35, decimal form: 0.45
Step-by-step explanation: (3/5-1/7) =3/5-1/7=3/5+-1/7=21/35+-(5)/35= 21 +(-5)/35= <em><u>16/35, decimal form: 0.45</u></em>
Answer:The height of the building is 30ft
Step-by-step explanation:
It has not been indicated whether the figure in the questions is a triangle or a quadrilateral. Irrespective of the shape, this can be solved. The two possible shapes and angles have been indicated in the attached image.
Now, from the information given we can infer that there is a line BD that cuts angle ABC in two parts: angle ABD and angle DBC
⇒ Angle ABC = Angle ABD + Angle DBC
Also, we know that angle ABC is 1 degree less than 3 times the angle ABD, and that angle DBC is 47 degree
Let angle ABD be x
⇒ Angle ABC = 3x-1
Also, Angle ABC = Angle ABD + Angle DBC
Substituting the values in the above equations
⇒ 3x-1 = x+47
⇒ 2x = 48
⇒ x = 24
So angle ABD = 24 degree, and angle ABC = 3(24)-1 = 71-1 = 71 degree
Answer: y = 40x + 750
Step-by-step explanation:
Linear model;
y = mx + c
y is the total cost of buying granite counter tops for a certain number of square foot as well as the cost to install the counter top.
m is the cost of granite counter tops per square foot which is $40 in this case.
x is the number of square feet required.
c is the base pay for the installation of the counter top which is $750
Linear model will therefore look like this;
y = 40x + 750
To test it. Assume you want enough granite tops for 10 square feet. How much would it cost;
= 40 (10) + 750
= $1,150
Answer:
1) x = 42 ; y = 42
2) x = 72 ; y = 48 ; z = 60
Step-by-step explanation:
1)
x + 42 + 96 = 180
x + 138 = 180
x = 42
y + 42 + 96 = 180
y + 138 = 180
y = 42
2)
x + 108 = 180
x = 72
y + 132 = 180
y = 48
z + x + y = 180
z + 72 + 48 = 180
z + 120 = 180
z = 60
