Answer:
$76.33
Step-by-step explanation
1 divided by 4/6 = 3/2 =1.5
50.89 x 1.5 =$76.33
Answer:
See below.
Step-by-step explanation:
a.
The first figure has 1 square. The second figure has a column of 2 squares added to the left. The third figure has a column of 3 squares added to the left. Each new figure has a column of squares added to the left containing the same number of squares as the number of the figure.
b.
Figure 10 has 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 = 55 squares.
c.
The formula for adding n positive integers starting at 1 is:
1 + 2 + 3 + ... + n = n(n + 1)/2
For figure 55, n = 55.
n(n + 1)/2 = 55(56)/2 = 1540
d.
Let's use the formula set equal to 190 and solve for n. If n is an integer, then we can.
n(n + 1)/2 = 190
n(n + 1) = 380
We know that 380 = 19 * 20, so n = 19.
Answer: yes
e.
Use the formula above,
S = n(n + 1)/2, where S is the sum.
f.
n(n + 1) = 1478
38 * 39 = 1482
37 * 38 = 1406
8=10-2 or
997=1000-3
so we can use distributive property
remember, a(b+c)=ab+ac
for the first one
8(997)=(10-2)(997)=997(10-2)=997(10)+997(-2)=9970-1994=7976
2nd one
8(997)=8(1000-3)=8(1000)+8(-3)=8000-24=7976
The length of BC is 
.
Solution:
Given ABC is a right triangle.
AC is the hypotenuse and BD is the altitude.
AB and BC are legs of the triangle ABC.
AC = 16 and DC = 5
<u>Leg rule of geometric mean theorem:</u>
Do cross multiplication.
Taking square root on both sides.
square and square roots get canceled, we get
The length of BC is .
x has two values 4 and 5 by factorization or using the general formula
