the measures of two complementary angles have a ratio of 2:7 . what is the measure of the smaller angle
Answers
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°
Related Questions
A person operating a riding lawnmower can mow 1/4 of a hectare in 20 minutes. How many hectares per hour can she mow?
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THis is because 60 divided by 20 is 3. So 3 times 1/4 equals 3/4
Plz branliest
what is the measure of the angles
Answers
3x-4 = 2x+9
add 4 to both sides:
3x = 2x +13
subtract 2x from each side:
x = 13
now replace x with 13 in the original equations:
3x-4 = 3(13) -4 = 39-4 = 35
2x+9 = 2(13)+9 = 26+9 = 35
the angles = 35 degrees
9=3x-2x-4
9=x-4
9+4=x
13=x
13(2)-4
26+9
35 is the answer
A coach randomly sampled players from two different cities to determine the heights of the players. This table shows the results in inches.
City A 63 60 70 66 70 73 78 73 69 75
City B 67 73 75 73 69 78 76 74 72 74
Which conclusions can you draw about the heights of the players from the two cities?
Select each correct answer.
On average, the players in City A are a few inches taller than the players in City B.
On average, the players in City A are a few inches shorter than the players in City B.
On average, the players in the two cities are about the same height.
The heights of the players in City A are more variable than the heights of the players in City B.
The heights of the players in City A are less variable than the heights of the players in City B.
The heights of the players in the two cities vary by about the same amount.
Answers
city A:
63 + 60 + 70 + 66 + 70 + 73 +78 + 73 + 69 + 75 = 697
697 / 10 = 69.7
shortest is 60, tallest is 78, difference = 78 -60 = 18
city b :
67+73+75+73+69+78+76+74+72+74 = 731
731 / 10 = 73.1
shortest is 67, tallest is 78, difference = 78-67 = 11
answers:
On average, the players in City A are a few inches shorter than the players in City B.
and
The heights of the players in City A are more variable than the heights of the players in City B.
Answer:
On average, the players in City A are a few inches shorter than the players in City B.
Step-by-step explanation:
i took the test hope this helps
Lori passes 80% of her tests. In the next week, Lori has 4 tests. She wants to determine the probability that she passes all 4 of the tests.
Which simulation design has an appropriate device and a correct trial?
A) Let Heads represent Lori passing a test and Tails represent Lori failing a test. Flip the coin four times.
B) Roll a die letting 1-5 represent Lori passing a test and 6 represent Lori failing a test. Roll the die four times.
C) Spin a spinner that is split up into 5 sections, where 4 sections are a success of passing a test. Spin the spinner four times.
D) Using a random digits table select one digit numbers where 0-8 is a passing grade and 9 is a failing grade. Select four digits.
Answers
Answer: C)
Step-by-step explanation:
A population of bacteria is growing according to the exponential model P = Cekt, where P is the number of colonies and t is measured in hours. If there are 800 colonies present after 4 hours, and the population's growth rate k = 0.65, how many colonies were present initially? [Round answer to the nearest hundredth.]
Answers
[tex]800=Ce^{0.65(4)} \\ \\800=Ce^{2.6} \\\text{Dividing both sides by }e^{2.6} \\ \\\frac{800}{e^{2.6}}=C \\ \\59.42=C[/tex]The correct answer is 59.42.
a woman wants to build a rectangular Garden she plans to use a side of the shed for one of the sides of the garden. she has 96 yards of fencing material. What is the maximum area that will be enclosed
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Sounds like it will be big enough for whatever she wants!
Hope this helps :)
Simplify the mathematical expression.
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If z = 12.8, what is the value of 2(z - 4)? [Type your answer as a number.]
Answers
Answer:
17.6. Its correct
Step-by-step explanation:
help me? answers por favor ?
Answers
The line passing through (1,4) and (-4,-1) has the following slope:
-1 - 4 -5
m = ------------ = -------- = +1
-4 - 1 -5
Find the slope of the line passing thru the other set of points. Graph both lines. What do you see? Do the 2 lines have any particular relationship to one another?
simplify this rational
Answers
Answer:
n+5
Step-by-step explanation:
(n+5)(n+1)/(n+1)
cancel n+1 from top and bottom
Eva spent $48 on a shirt and a pair of pants. The pant cost twice as much as the shirt. How much did each item cost?
Answers
What is the slope of the line that is parallel to the line shown?
A) 3/2
B) 1/3
C) -1/3
D) -3
Answers
All parallel lines have the same slope. They would need to, otherwise, they would intersect or come together at an angle eventually.
So, let's find the slope.
I'm going to use rise over run. (Remember, when moving to the left, you make the number negative.
rise=1 run= -3
-1/3 <== the slope
"C" is the correct answer.
I hope this helps!
~kaikers
Randall bought a notebook for $8 and 6 highlighters. He spent a total of $20.how much did each highlighter cost
Answers
He bought a notebook for $8.
So he has $12 dollars left.
Then he buys 6 highlighters.
Divide 12 by 6.
Each highlighter is $2.
Susan gets paid x dollars per hour. After 40 hours she gets paid time and a half (1.5 times her normal hourly pay). Last month she worked 52 hours each week and earned $696 each week. How much does Susan get paid per hour?
Answers
Let x be the amount she gets paid per hour. Working 40 hours would then be represented by 40x.
Anything over 40 hours earns her 1.5 her normal rate, or 1.5x. Since she works 52 hours, this means 52-40=12 hours of overtime at 1.5x:
12(1.5x) = 18x
Together, she earned 696:
40x+18x = 696
Combining like terms,
58x = 696
Divide both sides by 58:
58x/58 = 696/58
x = 12
What is 1/2 + 3/4???
Answers
1/2 = 2/4
2/4 + 3/4 = 5/4 = 1 1/4
Answer = 1 1/4
Hope this helped☺☺
To solve this problem, we need to find the common denominator.
Since both 4 and 2 are divisible by 4, 4 is the common denominator.
1/2 = 2/4
3/4 = 3/4
2/4 + 3/4 = 5/4 = 1 1/4
Hope this helps!
the salomans offered to be in charge if drinks for the party. In addition to other beverages, they brought 4 bags of coffee that each held 2 1/2 pounds. When brewed, 1/4 pound coffee made 8 cups of coffee. the salomans brewed and served 296 cups of coffee. was any coffee left over? if so, how much coffee was left? show your work
Answers
b= 2.5 lb
.25lb=8 c
2.5lb * 8c/.25lb= 80 c
4(80c)= 320 c
320c - 296c = 24 cups was left.
if y -18 =14 what is the value of 3(Y + 5)
Answers
add 18 on both sides
y=32
plug that into the equation below
3(Y+5)
3(32+5)
add 32 and 5
3(37)
multiply
3
[tex]3 \times 37 = 111[/tex]
there u go dude! :) if you could Mark as brainliest answer that would help me soooo much dude thxx
Answer:
y-18=14
add 18 on both sides
y=32
plug that into the equation below
3(Y+5)
3(32+5)
add 32 and 5
3(37)
multiply
3
3 \times 37 = 1113×37=111
there u go dude! :) if you could Mark as brainliest answer that would help me soooo much dude thxx
the stem and leaf plot represents a set of data what is the largest number in the set?
Answers
To find the largest number in a stem-and-leaf plot, identify the row with the highest stem and the largest leaf in that row.
The largest number in a set represented by a stem-and-leaf plot can be determined by locating the highest stem value and the largest leaf value attached to it. In a scenario where the stem represents units of 100,000 and the leaf represents units of 10,000, as with the example regarding U.S. cities' populations, you would look for the row with the highest stem number and the highest leaf number within that row to find the largest value. For instance, with a stem of 4 and a leaf of 9, one would interpret the largest number as 490,000.
When constructing a stemplot, each data point's stem is written in a vertical column with the leaves arranged to the right. Negative numbers are handled with negative stems, and the leaves are rounded to represent two significant digits. This method creates a clear visual of data distribution, showing values, potential outliers, and general trends.
Analyze the solution set of the following system by following the given steps.
2x + y = 5 3y = 9 − 6x
Write each equation in slope-intercept form.
y = x +
y = x +
Answers
2x -2x+ y = 5 -2x
y=5-2x
y=-2x+5
3y = 9 − 6x
3y/3= 9/3 - 6x/3
y = 3 - 2x
y= - 2x +3
Equations in the slope-intercept form are
y= - 2x+5,
y= - 2x +3
Equations in the slope-intercept form are
y= - 2x+5,
y= - 2x +3
How can a lack of understanding of the measures of central tendency and variability affect business decisions
Answers
In a business, you make decisions on what you expect to happen. Knowing the measure of center can help you make better decisions.
Answer:The measure of central tendency give you a picture of what to expect in a situation. My example: a basketball players "average" is the number of points that they usually score. In a business you make decisions on what you expect to happen. If you know the measure of center it can help you make better decisions.
I got 100 on this
If BE = 2x-3 and AC=3x+1 Find Ac
Answers
a) Suppose you are able to download 1 free song to your tablet daily and each additional download costs $0.59. If your monthly bill is $15.34, how many songs did you download if you downloaded 28 free songs? Write an equation and solve for the unknown variable.
Answers
Let x be the number of songs downloaded.
x = 28 + (15.34/0.59)
x = 28 + (26)
x = 54
You have 54 songs downloaded on your tablet.
Hope this helps :)
Answer:Let x be the number of songs downloaded.
x = 28 + (15.34/0.59)
x = 28 + (26)
x = 54
You have 54 songs downloaded on your tablet.
Step-by-step explanation:
Fond the value of x and the unknown angle in each problem
Answers
Last month, Luke spent $1,300 on his mortgage (home loan payment), $320 for food, $280 on entertainment, $275 for his car payment, $60 on car insurance, and $75 on clothing. What was the difference for the month between his fixed expenses and variable expenses? A) $1035 B) $1240 C) $960 D) $900
Answers
The fixed expenses are: mortgage, car and insurance
1300 + 275 + 60 = 1635
The variable expenses are: food, entertainment, clothing
320 + 280 + 75 = 675
Subtracting those gives a value of 960.
Which of the following rules could represent the function shown in the table?
x y
-1 -1
0 1
1 3
A) f(x) = -2x
B) f(x) = 2x - 1
C) f(x) = 2x + 1
Answers
an open rectangular cardboard box with a square base is to have a volume of 256cm^3. Find the dimensions of the box if the area of cardboard used is as small as possible
Answers
x------> the length side of the square base of the box
y-------> the height of the box
we know that
volume of the box=b²*h
b=x
h=y
volume=256 cm³
so
256=x²*y------>y=256/x²--------> equation 1
The amount of material used is directly proportional to the surface area, so we will minimize the amount of material by minimizing the surface area.
surface area of the cardboard=area of the base+perimeter of base*height
area of the base=x²
perimeter of the base=4*x
height=y
surface area=x²+4x*y-----> equation 2
substitute equation 1 in equation 2
SA=x²+4x*[256/x²]-----> SA=x²+1024/x
step 1
find the first derivative of SA and equate to zero
2x+1024*(-1)/x²=0------> 2x=1024/x²----> x³=512--------> x=8 cm
y=256/x²------> y=256/8²-----> y=4 cm
the answer is
the length side of the square base of the box is 8 cm
the height of the box is 4 cm
To find the dimensions of the box with the smallest area of cardboard used, we can minimize the surface area of the box using calculus. The volume of the box is given as 256 cm³.
Explanation:To find the dimensions of the box with the smallest area of cardboard used, we need to minimize the surface area of the box. Let's assume that the length, width, and height of the box are L, W, and H, respectively.
The volume of the box is given by V = L * W * H = 256 cm³. Since the box has a square base, we have L = W.
The surface area of the box is given by SA = 2LW + 2LH + 2WH = 2(LW + LH + WH). Substituting L = W into the equation, we have SA = 6L² + 2LH.
To minimize the surface area, we can take the derivative of SA with respect to L and set it equal to zero. Solving this equation will give us the value of L that minimizes the surface area. Once we have the value of L, we can find the corresponding values of W and H using the equation V = L * W * H = 256 cm³.
Using this method, we can determine the dimensions of the box that will result in the smallest amount of cardboard used.
Jamie is making a beaded necklace the ratio of blue beads to purple beads is 4:3 if jamie uses 56 blue beads and purple beads to finish her necklace how many of them will be purple
Answers
Explanation
We will use a proportion to solve this.
The ratio of blue to purple beads is 4:3, or 4/3.
We know she uses 56 blue beads and an unknown amount, x, of purple beads. This gives us 56/x.
Together, we have
4/3 = 56/x
Cross multiply:
4*x = 3*56
4x = 168
Divide both sides by 4:
4x/4 = 168/4
x = 42
Answer: 24 beads
Step-by-step explanation:
Jamie is making a beaded necklace having the ratio of blue beads to purple beads as 4:3 and the total beads used by Jamie is 56. This information can be written as:
Ratio of blue heads= 4
Ratio of purple beads= 3
Total ratio of beads= 4+3 = 7
Total beads used = 56 beads
The number of purple beads used will be= 3/7 × 56
= 3 × 8
= 24 beads
The number of purple beads used is 24
PLEASE HELP ME!!!
Three cube-shaped boxes are stacked one above the other. The volumes of two of the boxes are 1,331 cubic meters each, and the volume of the third box is 729 cubic meters. What is the height of the stacked boxes in meters?
19
29
30
31
Answers
I have no congruent sides. One of my angles has a measure of 100 degrees.
Answers
A translation is applied to the triangle formed by the points A(−1, 4) , B(−1, 10) , and C(3, 6) . The image is the triangle that has vertices A′(3, 4) , B′(3, 10) , and C′(7, 6) . Select the phrase from the drop-down menu to correctly describe the translation. The triangle was translated .
Answers
X(B')=X(B)+4= -1+4=3
X(C')=X(C)+4= 3+4=7
4 points to the right