Answer:
6.25m
Step-by-step explanation:
24mm = 5m
30mm = x
x = 30 * 5/24
x = 6.25m
Answer:
<BAC = 78
<ABC = 68
Step-by-step explanation:
The remote angles theorem states that when one extends a side of a triangle, the angle formed between the extension and one of the sides of the triangle is equal to the sum of the two non-adjacent angles inside the triangle. One can apply this theorem here and state the following,
<BAC + <ABC = <ACD
Substitute,
(5y + 3) + (4y + 8) = (146)
Simplify,
9y + 11 = 146
Inverse operations,
9y + 11 = 146
-11 -11
9y = 135
/9 /9
y = 15
Now substitute this value back into the expressions to find the numerical measurement of (<BAC) and (<ABC),
<BAC = 5y + 3
5(15) + 3
78
<ABC = 4y + 8
4(15) + 8
68
Answer:
<em>Annie will be able to borrow</em><em> $ 7,716.00 </em>for the playground using her car a collateral (option b).
Explanation:
Interpretation of the problem:<em> to take out a loan to put a new playground in her yard for her kids, Annie offers her car which is worth $ 7,800 as collateral.</em> Since <em>the loan officer at the bank is permitted to loan Annie 92% of the value of her collateral</em>, in order to know <em>how much Annie will be able to borrow</em>, you must use<em> </em>percentage calculations.
Percent is a definition: percent is the ratio of an amount with respect to one hundreed. The mathematical expressions derived from that definition is:
- Percent, % = (amount / base) × 100
In this case, the percent that <em>the officer is permitted to loan</em> is known, <em>92%</em>, the amount to <em>borrow</em> is unknown (x), and the base is the <em>value of her car </em>(<em>the collateral</em>), <em>$ 7,800</em>, which leads to the following equation:
Now, you can solve for x:
- x = 7,800 × 92/100 = 7,800 × 0.92 = 7,176.00
In conclusion, <em>Annie will be able to borrow $ 7,716.00 for the playground using her car as collateral</em>.
Answer:
Step-by-step explanation:
c^2 = 24^2 + 7^2
c^2 = 576 + 49
c^2 = 625
c = √625
c = 25
