the measures of two complementary angles have a ratio of 2:7 . what is the measure of the smaller angle
Answer:
The smaller angle is 20 degrees.
Explanation:
Complementary angles are two angles (or more) whose sum is 90 degrees.
If two angles have a sum of 90 degrees and their ratio is 2:7, we must determine which two numbers when added together would yield this proportion?
60 + 30 = 90 but 60:30 is a 6:3 ratio which simplifies to 2:1.
45 + 45 = 90 but 45:45 is a 1:1 ratio.
50:40 = 90 but 50:40 is a 5:4 ratio.
10 + 80 = 90, but 10:80 is a 1:8 ratio. We're getting closer!
20 + 70 = 90, and 20:70 can be simplified to 2:7 when you divide each number in the ratio their greatest common factor (GCF) of 10.
Therefore, the two complementary angles would be 20° and 70°, the smaller of which would be 20°
a hiker first hike down into a canyon 345 ft below sea level she then hike on her husband 50 ft of the side of the mountain what was the final altitude of the hiker
In order to make a servings for four 1 3/4 cups of chopped vegetables are needed based on this information determine the amount of chopped vegetables needed to make a recipe for ten
Answer:
To make recipe for 10 requires 35/8 or 4.375 chopped vegetables
Step-by-step explanation:
For 4, 7/4 cups of chopped vegetable are needed
it means for recipe for 4, requires 1.75 chopped vegetable
Therefore 10 recipe will require
10 × 7/4(1.75) cup divided by 4
Mathematically,
10 × 1.75 = 17.5
17.5/4 = 4.375 or 35/8 chopped
Image point B (4,-8) was transformed using the translation (x-2,y+3) what were the coordinates of B?
Answer: (6, -11)
Step-by-step explanation:
Carl tells his friend Logan about a new music download service.
Carl says that if you download x collections per month, your monthly cost will be 2(x + 10). Logan says the cost will be 2(x + 5). Who is correct?
A. Only Carl is correct.
B. Only Logan is correct.
C. Both Carl and Logan are correct.
D. Both Carl and Logan are incorrect.
Answer:
caral corect
Step-by-step explanation:
hes wrong not d
It costs $6 to take 1 dog to the dog beach. It costs $1 more for each additional dog.
Jane buys People magazine at Walmart each week for $4.99. A 52 week subscription to the magazine is $203.84. How much would she save each week per magazine if she signed up for the subscription?
whats the answer to this question
Rewrite this logarithm as a subtraction of logs
Log11 (29/11)
Final answer:
To rewrite the given logarithm as a subtraction of logs, use the property that the logarithm of the number resulting from the division of two numbers is the difference between the logarithms of the two numbers.
Explanation:
The given logarithm is log11 (29/11). To rewrite this as a subtraction of logs, we can use the property that the logarithm of the number resulting from the division of two numbers is the difference between the logarithms of the two numbers.
So, log11 (29/11) can be rewritten as log11 (29) - log11 (11).
4.5 divided by 0.5+0.1 in computation words
Explanation of dividing 4.5 by 0.5+0.1 in computation words.
4.5 divided by 0.5+0.1 can be written as:
4.5 / (0.5 + 0.1)
To solve this, we first add 0.5 + 0.1 to get 0.6. Then, we divide 4.5 by 0.6 to find the result.
The result of the computation is 7.35.
To compute the given expression[tex]\(14.5 \times 0.5 + 0.1\):[/tex]
Multiplication :
- Multiply [tex]\(14.5\)[/tex] by [tex]\(0.5\).[/tex]
- [tex]\(0.5\)[/tex] represents half, so you're essentially halving 14.5.
Half of [tex]\(14.5\) is \(7.25\).[/tex]
Addition :
- Now add [tex]\(0.1\) to \(7.25\).[/tex]
- The addition gives [tex]\(7.25 + 0.1 = 7.35.[/tex]
Thus, the result of the computation is 7.35.
Complete question : Write the computation in words: 4.5 divided by 0.5+0.1
what decimal is equivalent to 6 %
there are 200 end of the school year dance tickets available students who have perfect attendance are able to personage them in advance if 18 tickets were purchased in advance then what percent of the tickets were purchased in advance
The percentage of the tickets for the dance that were purchased in advance is 9%.
What is the percentage of the tickets that were bought in advance?Percentage is the fraction of an amount that is expressed as a number out of hundred. The sign used to represent percentage is %.
Percent of advance tickets bought = (number of advance tickets / total number of tickets) x 100
(18 / 200) x 100 = 9%
To learn more about percentages, please check: https://brainly.com/question/25764815
(Please help me!)
Which type of probability is determined by considering all possible outcomes, without actually testing them?
A. Empirical probability
B. Theoretical probability
C. Unpredictable probability
D. Random probability
Answer: B. Theoretical probability
Step-by-step explanation: Theoretical probability is based on calculations, and not actual tests.
Completely simplify spare root of 24x^6
Answer:
Assuming x ≥ 0:
[tex] \sqrt{24 {x}^{6} } = \sqrt{24} \sqrt{ {x}^{6} } = \sqrt{4} \sqrt{6} \sqrt{ {x}^{6} } = 2 {x}^{3} \sqrt{6} [/tex]
what is the value of 6/x +2x to the second power when x is 3
2(2x+9)=50 simplifyed
Which triangles are congruent by ASA
Answer: ΔHGF≅ ΔABC
Step-by-step explanation:
ASA congruence postulate says that if two angles and the included side of a triangle are congruent to two angles and the included side of next triangle then the triangles are congruent.In the given figure ΔABC and ΔHGF have the pair of two corresponding angles and the included sides are congruent.
i.e.[tex]\angle{C}\cong\angle{F}[/tex]
[tex]\overline{GF}\cong\overline{BC}[/tex]
tex]\angle{G}\cong\angle{B}[/tex]
Therefore , by ASA congruence postulate:-
ΔABC ≅ ΔHGF
In ΔTUV , there is only angle given . So there is no enough information to prove it by ASA.
Which of the following is not a valid probability?
A 0.3
B 1
C 0
B 106
Need help with this one!
WILL MARK BRAINLIST!!!!
Just need question 1 (i) and 2 (i), (ii)
For the spring festival, the Math Club is selling rulers for $1 and compasses for $2.50. the club would like to sell as many items as they can to raise funds. they need to at least make $15 to break even. write an inequality to represent this situation. let r=#of rulers sold and c=#of compasses sold.... School rules state that the club can sell a maximum of items for the festival. Write another inequality for this constraint (limitation).
Final answer:
To represent the situation, the inequality is 1r + 2.50c >= 15. The constraint on the maximum number of items sold is r + c <= M.
Explanation:
To write an inequality representing the situation, we need to consider the cost and the number of items sold. Let's denote the number of rulers sold as r and the number of compasses sold as c. The cost of the rulers is $1 each and the cost of the compasses is $2.50 each. The Math Club needs to make at least $15 to break even, so the inequality is: 1r + 2.50c >= 15.
Now, let's consider the constraint or limitation on the maximum number of items sold. Let's assume the maximum number of items that can be sold is M. So the inequality for this constraint is: r + c <= M.
Final answer:
The student should write the inequality 1r + 2.5c ≥ 15 to represent the condition of making at least $15 from selling rulers and compasses. An additional constraint can be represented by the inequality r + c ≤ m, with m being the maximum number of items allowed to be sold.
Explanation:
The Math Club is looking to make at least $15 by selling rulers at $1 each and compasses at $2.50 each. To represent this situation as an inequality where r is the number of rulers and c is the number of compasses sold, we use the equation: 1r + 2.5c ≥ 15. This inequality ensures that the combination of rulers and compasses sold will bring in at least $15.
If there is a maximum number of items that the Math Club is allowed to sell, we can represent this as another inequality. Let's say the maximum number of items is m. Then, we can write the inequality as: r + c ≤ m, where m is the given maximum number of items that can be sold.
If nick bought 5 apples for 4.45 what would be the cost for 7 apples
A student ate 3/20 of all candies and another 1.2 lb. Another student ate 3/5 of the candies and the remaining 0.3 lb. Altogether, what weight of candies did they eat?
Answer:
6 Pounds
Step-by-step explanation:
Above
PLEASE HELP, ASAP!
Eumin pays $3.56 for 4 juice boxes.
How much would Eumin pay for 7 juice boxes?
Enter your answer in the box.
A 6x4 rectangle sits inside a 8x7 rectangle
HELP PLEASE !!! 20 POINTS!
Match each relation with its domain and range.
1. D = {1,2, -1}; R = {3,5,2}
2. {1,2, -1}; R = {1,2, -1}
3. D = {3,5,2}; R = {3,5,2}
4. D = {3,5,2}; R = {1,2, -1}
a. {(1,3), (2,5), (-1,2)}
b. {(3,3), (5,5), (2,2)}
c. {(1,1), (2,2), (-1,-1)}
d. {(3,1), (5,2), (2, -1)}
Can anybody correct me if I'm wrong? (I might be mixing my answers / questions up a bit) I also need more to be checked but anyways I'm very thankful for those who read into this.
if the area of a square is 225 cm2, what is the length of the diagonal
Which statement is true about the distribution? A line ranging from 0 to 120 with boxes between 15 and 28, 28 and 34, 34 and 40, and 40 and 48. The IQR is the best measure of variability because the distribution has an outlier. Either the IQR or the range are good measures of variability because the distribution has an outlier. Either the IQR or the range are good measures of variability because the distribution has no outliers. The range is the best measure of variability because the distribution has an outlier.
Answer: The answer is A. "The IQR is the best measure of variability because the distribution has an outlier."
Step-by-step explanation:
Can somebody help/teach me about this please?
“Suppose the equation h=-16t^2 + 35t models the altitude a football will reach t seconds after it is kicked. IS THE GIVEN VALUE POSSIBLE?”
A: h= 16 ft. B: h= 20ft.
The given value h=16 ft is possible based on the quadratic equation model provided. By solving the equation h=[tex]-16t^2 + 35t[/tex] and substituting h=16, we find the possible values of t to be approximately 0.52 seconds or 1.48 seconds.
- For each given value of h, set [tex]\( h = -16t^2 + 35t \)[/tex] and solve for t.
- If you obtain real solutions, the given h is possible. If not, it isn't possible.
Checking for h=16:
1. Set h=16 and solve for t:
[tex]\[ 16 = -16t^2 + 35t \][/tex]
2. Rearrange to form a quadratic equation:
[tex]\[ -16t^2 + 35t - 16 = 0 \][/tex]
3. Solve for \( t \) using the quadratic formula:
[tex]\[ t = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \][/tex]
where a= -16, b=35, c=16.
- Find the discriminant:
[tex]\[ b^2 - 4ac = 35^2 - 4 \times (-16) \times (-16) = 1225 - 1024 = 201 \][/tex]
Since the discriminant is positive, this quadratic has real roots, indicating that h=16 is possible.
Checking for h=20:
1. Set h=20 and solve for t:
[tex]\[ 20 = -16t^2 + 35t \][/tex]
2. Rearrange to form a quadratic equation:
[tex]\[ -16t^2 + 35t - 20 = 0 \][/tex]
3. Solve for t using the quadratic formula:
[tex]\[ t = \frac{-35 \pm \sqrt{35^2 - 4 \times (-16) \times (-20)}}{2 \times (-16)} \][/tex]
- Find the discriminant:
[tex]\[ 35^2 - 4 \times (-16) \times (-20) = 1225 - 1280 = -55 \][/tex]
Since the discriminant is negative, this quadratic has no real roots, indicating that h=20 is not possible.
Conclusion:
- The value h=16 is possible.
- The value h=20 is not possible.