Answer: 105 miles
Step-by-step explanation:
You can write an equation for this problem and solve it.
32 miles=1/3x-3, where x is equal to the total length of the highway.
35=1/3x, and then you multiply by 3, to get x=105
Answer:
(x, y) = ( -51/4 , -9)
Step-by-step explanation:
if u want me to show the work lmk
The value of 'x' is 24.2 and the value of 'y' is 46.5.
To solve this, we do the following steps.
<u>Step 1:</u> Divide 'y' into 2 parts, 'a' and 'b'. 'a' would be the lower leg of the 45°-45°-90° triangle, while 'b' is the lower leg of the 30°-60°-90° triangle.<em>
</em><u>Step 2:</u> Given the hypotenuse (34) of the 30°-60°-90° triangle, solve for 'b' using the cosine of 30°.
cos30° = b/34 [adjacent over hypotenuse]
b = 34cos30° [cross-multiply]
b = 29.4
<u>Step 3:</u> Solve for the 90° leg (the side opposite the 30° angle) using the Pythagorean Theorem. We will name this leg "h" (cuz height).
l² + l² = hyp²
29.4² + h² = 34²
h² = 1156 - 864.36
√h² = √291.64
h = 17.1
<u>Step 4:</u> Solve for 'x' by using the 45°-45°-90° triangle ratio (1:1:√2). √2 would be the hypotenuse of the 45°-45°-90° triangle, while 1 would be both congruent legs.
Side 'h' is one of the legs; side 'a' is the other. Since these legs are congruent, 'a' also measures 17.1. Now all we need to do is solve for 'x', which is our hypotenuse. To do this, we simply multiply the measure of side 'h' or 'a' by √2.
x = 17.1 × √2
x = 24.2
<u>Step 5:</u> Now that we got the value of 'x', solve for 'y' by adding the measures of sides 'a' and 'b' together.<em>
</em><u /> y = a + b
y = 17.1 + 29.4
y = 46.5
And there you have it! <em>Hope this helps.</em>
<em>
</em>
Answer: 5931.8m^2
Explanation:
Explanation:
85.9 x 48 + 3.14 x 24^2
= 4123.2 + 1808.64
= 5931.8m^2
The finance charge of April month of Hannah's credit card which is calculated by daily balance method is $3.30.
<h3>What is finance charge?</h3>
The finance charge is the amount of the money which borrowed, including the interest amount and other fees.
The following table shows Hannah’s transactions in the month of April.
Date Amount ($) Transaction
4/1 322.95 Beginning balance
4/10 19.87 Purchase
4/14 50.00 Payment
4/19 71. 21 Purchase
Average balance in the account,
![A=(322.95\times10)+[(342.87)\times4]+(292.82\times5)+(364.03\times11)\\A=10069.41](https://tex.z-dn.net/?f=A%3D%28322.95%5Ctimes10%29%2B%5B%28342.87%29%5Ctimes4%5D%2B%28292.82%5Ctimes5%29%2B%28364.03%5Ctimes11%29%5C%5CA%3D10069.41)
Hannah has a credit card with an APR of 11. 90% and a billing cycle of 30 days. The finance charges,
Hannah’s credit card company calculates finance charges using the daily balance method,
The finance charge of April month of Hannah's credit card which is calculated by daily balance method is $3.30.
Learn more about finance charges here;
brainly.com/question/4403314
