Answer:
30° is one of the degree measures of the angles.
Hence, option (A) is true.
Step-by-step explanation:
- Let 'x' be the degree measure of the first angle.
Given that the degree measure of one of two complementary angles is twice that of the other.
- Thus, the other angle = 2x
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<em><u>Complementary angles</u></em>
- We know that two angles are termed as complementary angles when the sum of their measured angles is 90°.
Thus the equation becomes
x + 2x = 90°
3x = 90°
Divide both equations by 3
3x/3 = 90°/3
x = 30°
Therefore, 30° is one of the degree measures of the angles.
Hence, option (A) is true.
Answer:
<em>estimated sales on Wednesday is 19000 pounds.</em>
<em></em>
Step-by-step explanation:
On Monday, he sold 25196 pounds. Estimated to the nearest thousand that is 25000 pounds.
On Tuesday, he sold 18023 pounds. Estimated to the nearest thousand, that is 18000 pounds
Wednesday's sales is unknown. We designate as x
All in all he sold 62409. Estimated to the nearest thousand, that is 62000
The sales on Monday, plus sales on Tuesday, plus sales on Wednesday, must all sum up to the total sales.
25000 + 18000 + x = 62000
43000 + x = 62000
x = 62000 - 43000 = 19000
therefore <em>estimated sales on Wednesday is 19000 pounds.</em>
The tower is 61.65 meters tall.
<u>SOLUTION:
</u>
Given that, a pole that is 2.5 m tall casts a shadow that is 1.47 m long.
At the same time, a nearby tower casts a shadow that is 36.25 m long.
We have to find height of the tower.
Now, we know that,
Then, (let it be) n meter tall 
36.25 long shadow
So, by cross multiplication method,
This can be written as,
Cross multiplications steps: (To find Single Variable)
- Multiply the numerator of the left-hand fraction by the denominator of the right-hand fraction.
- Multiply the numerator of the right-hand fraction by the denominator of the left-hand fraction.
- Set the two products equal to each other.
- Solve for the variable.
The inequality is 9 ( t + 5 ) < 6.
In mathematics, an inequality is a relation that makes a non-same comparison between two numbers or different mathematical expressions. It is used most often to examine numbers on the quantity line by using their length.
Inequality, In mathematics, is a declaration of an order relationship—greater than, extra than or same too, much less than, or much less than or identical to—between numbers or algebraic expressions.
The definition of inequality is a difference in length, amount, exceptional, social function, or another component. An instance of inequality is if you have ten of something and a person else has none.
Let t be the number.
We know that,
The phrase "5 more than a number t" is equal to adding the number t and 5
(t+5)
The phrase "the product of 9 and the quantity 5 more than a number t" is equal to multiplying 9 by (t+5)
9(t+5)
Less represent the symbol " < ".
Therefore,
The inequality that represents this problem is 9(t+5) < 6.
Learn more about inequality here brainly.com/question/11613554
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6 × 9 ÷ 18 + 100 - 11 + 4
Use the order of operations to simplify:
- Parentheses
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
6 × 9 ÷ 18 + 100 - 11 + 4
There are no parentheses or exponents, so multiplication comes first. Multiply 6 and 9.
54 ÷ 18 + 100 - 11 + 4
Next is division. Divide 54 by 18.
3 + 100 - 11 + 4
Finally, add and subtract from left to right.
103 - 11 + 4
92 + 4
96
<h3>
Answer:</h3>
96
