Answer:
15,552
Step-by-step explanation:
V = A • B • C
V = 18 • 24 • 36
In general, extraneous solutions arise<span> when we perform non-invertible operations on both sides of an </span>equation<span>. (That is, they sometimes </span>arise, but not always.) ... Solvingequations<span> involving square roots involves squaring both sides of an</span>equation<span>. I hope that this helps you out, Have a wonderful day!!</span>
Answer:
∠DRM=45°
Step-by-step explanation:
Given: PRST is a parallelogram, m∠T:m∠R=1:3, RD ⊥ PS , RM ⊥ ST.
To find: m∠DRM
Solution: Since, PRST is a parallelogram and then let m∠T=x then m∠R=3x.
From the figure, we get that m∠T+m∠R=180°(Adjacent angles)
x+3x=180°
x=45°
Therefore, m∠T=45° and m∠R=135°.
Also, in parallelogram, opposite angles are equal, therefore m∠R=m∠S=135°.
Now, We know that sum of all the angles of the parallelogram =360°, then
From the quadrilateral DRMS,
∠DRM+∠RMS+∠MSD+∠SDR=360°
∠DRM+90°+135°+90°=360°
∠DRM=360°-315°
∠DRM=45°
H = 0.75n is the expression as a product to represent the sale price of the shirt
<em><u>Solution:</u></em>
Given that, Miranda buys a shirt at the mall
She has a coupon for 25 % off
To find: Expression as a product to represent the sale price of the shirt
Let "H" be the sale price of shirt
Let "n" be the original price of shirt
From given statement,
discount = 25 % of original price
Therefore,
discount = 25 % of n
<em><u>The sale price is given as:</u></em>
<h3>Sale price = Original price - discount price</h3>
H = n - 0.25n
<h3>H = 0.75n</h3>
Thus expression as a product to represent the sale price of the shirt is found
Answer:
1. 42.8 °C
2. Aceves' class: $133.33; Baca's class: $266.67; Canyon's class: $200.
Step-by-step explanation:
1.) The difference between two numbers is found by subtraction. Since we want to report the positive difference, we can subtract the smaller number from the larger:
-21.2 °C - (-64 °C) = (64 -21.2) °C = 42.8 °C
The temperature must drop 42.8 °C more for the antifreeze to solidify.
_____
2.) We want to divide the prize money in the ratio
1200 : 2400 : 1800 = 2 : 4 : 3
There are 2+4+3 = 9 total ratio units, so each one must stand for $600/9 = $66 2/3.
Then the money to Aceves' class is ...
2 × $66 2/3 = $133 1/3 = $133.33
And the money to Baca's class is ...
4 × $66 2/3 = $266 2/3 = $266.67
Finally, the money to Canyon's class is ...
3 × $66 2/3 = $200.00
___
Note on the division:
The 1/3 cent that Aceves' class should have gotten goes to Baca's class in the above scenario. It might make sense for the classes to donate $6 to the school and divide the remaining $594 as $132 : $264 : $198. If they actually want the pennies, they could donate $0.06 to the school and split the result as $133.32 : $266.64 : $199.98.