Answer:
Let b = base of triangular block
h = height of triangular block
b = 2h
(1/2)(2h)(h) = 100
h² = 100
h = 10 inches, b = 20 inches
4e^x -2= 14 solve for X
Answer:
x = 1.386
Step-by-step explanation:
4e^x= 16
e^x=4
ln(e^x)=ln4
x=ln4=1.386
What is the missing reason?
What is the length of side s of the square shown below?
The length of side "s" of the square is 3 units, as it is equal to one of the legs of the 45-45-90 right triangle formed by the diagonal of the square.
To find the length of side "s" of the square shown below, we can use trigonometry, specifically the properties of right triangles and the fact that the diagonal divides the square into two congruent 45-45-90 right triangles.
Given information:
The diagonal of the square measures 6 units.
One of the angles at the top of the square is 45 degrees.
Step 1: Recognize the properties of the 45-45-90 triangle:
Since the diagonal divides the square into two congruent right triangles, and one angle is 45 degrees, we have a 45-45-90 triangle. In such a triangle, the two legs (the sides opposite the 45-degree angles) are congruent, and the hypotenuse (the side opposite the 90-degree angle) is √2 times the length of a leg.
Step 2: Use trigonometric ratios:
Let "x" be the length of one leg of the 45-45-90 triangle, which is also equal to side "s" of the square.
From the properties of the 45-45-90 triangle:
x (leg) = s (side of the square)
Hypotenuse = √2 * leg
Given that the diagonal of the square is 6 units, we can relate the diagonal to the legs:
Diagonal = 2 * leg
6 = 2 * x
Now, solve for x (the length of one leg of the triangle and side "s" of the square):
x = 6 / 2 = 3 units
So, the length of side "s" of the square is 3 units.
Therefore, from the given options the correct one is B.
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HELPPP MEEEE I showed picture up there
Answer:
median
Step-by-step explanation:
Answer:
C is the median
Step-by-step explanation:
The center line in the box is the median of the data. The median is the middle point of the data set.
Select the equivalent expression
The equivalent expression is: (C) [tex]$\frac{1}{3^9 \cdot 6^{18}}$[/tex].
To simplify the given expression, we can apply the rules of exponents.
First, we raise 3 to the power of 3 and 6 to the power of 6, individually:
3^3 = 27 and 6^6 = 46656.
Next, we multiply these two values together:
27 * 46656 = 1259712.
Now, we raise the result to the power of -3:
1259712^(-3).
To simplify this expression, we can rewrite it as the reciprocal of the base raised to the positive exponent:
(1 / 1259712^3).
This can be further simplified by raising the base to the power of 3:
(1 / (1259712 * 1259712 * 1259712)).
Finally, we can simplify the expression by multiplying the denominators:
1 / (1954890816015872).
Enter the numerator and the denominator of the fraction in simplest form that is equal to 0.7 (repeating).
Answer:
7/9
Step-by-step explanation:
Let x= 0.7(repeating)
Then, 10x=7.7 (repeating)
Then subtract the first equation from the second
10x= 7.777... - x= 0.777... /9x=7
therefore, x= 7/9
How does the photo support the sidebar about how migrant children were treated? Check all that apply.
It shows how people felt about the children.
It shows why children needed medical attention.
It shows the way migrant children dressed.
It shows how migrant children had to work.
It shows feelings of sadness from unfair treatment.
Answer:
It shows the way migrant children dressed.
It shows how migrant children had to work.
It shows feelings of sadness from unfair treatment.
Step-by-step explanation:
those 3 are correct
Answer:
It shows the way migrant children dressed.
It shows how migrant children had to work.
It shows feelings of sadness from unfair treatment.
Step-by-step explanation:
Just took test
A cyclist rode at constant speed of 23 mph for 4 hours. Then, she decreased her rate of speed to 16 mph for 5 hours. How far did the cyclist ride in 9 hours?
The cyclist rode a total of 172 miles in 9 hours, covering 92 miles at 23 mph for 4 hours and 80 miles at 16 mph for 5 hours.
Explanation:To find out how far the cyclist rode in 9 hours, we need to calculate the distance covered at each speed and then add those distances together. The cyclist rode at a constant speed of 23 mph for 4 hours and then at a speed of 16 mph for 5 hours.
First, we calculate the distance at 23 mph:
Distance = Speed × Time
Distance at 23 mph = 23 mph × 4 hours = 92 miles
Next, we calculate the distance at 16 mph:
Distance at 16 mph = 16 mph × 5 hours = 80 miles
Now, we add the distances together to get the total distance:
Total Distance = Distance at 23 mph + Distance at 16 mph
Total Distance = 92 miles + 80 miles = 172 miles
Therefore, the cyclist rode a total of 172 miles in 9 hours.
In a lab experiment, 1900 bacteria are placed in a petri dish. The conditions are such
that the number of bacteria is able to double every 29 hours. How many bacteria
would there be after 6 hours, to the nearest whole number?
Answer:
393 bacteria
Step-by-step explanation:
First find how much it would increase per hours :
1900 / 29 = 65.5172414
Then take this and multiply it by 6 to get :
393.103448
Round it to the nearest whole number to get:
393 bacteria
Answer:2193
Step-by-step explanation:
y= 1900(2)^6/29
5y(-y^2+7y-2) multiply
Answer:
-5y3+35y2-10y
Step-by-step explanation:
93, 95 , 102, 91, 104, 93, 95, 98, 97, 92 , 102 , 96, 92, 104 , 100, 98,
Find the MEAN is this data set ?
And the ABSOLUTE DEVIATION ?
The mean of a dataset is the sum of the elements divided by how many elements are present in the data set.
The sum of the elements in this dataset is
[tex]93+95+102+91+104+93+95+98+97+92+102+96+92+104+100+98=1552[/tex]
And there are 16 elements, so the mean is
[tex]\mu = \dfrac{1552}{16}=97[/tex]
The absolute deviation is computed as follows:
For each term in the dataset, we consider its distance from the mean. In formulas, we compute [tex]|x_i-\mu|[/tex] for every element [tex]x_i[/tex] We take the average of all these terms: [tex]\frac{1}{n}\sum|x_i-\mu|[/tex]So, following the first point, the new dataset is
[tex]\{4, 2, 5, 6, 7, 4, 2, 1, 0, 5, 5, 1, 5, 7, 3, 1\}[/tex]
And the average of this dataset is
[tex]\dfrac{4+2+5+6+7+4+2+1+0+5+5+1+5+7+3+1}{16} = \dfrac{58}{16}=3.625[/tex]
Use a trigonometric ratio to find the value of x. Round your answer to the nearest
tenth.
Answer:
x=63.256% 63.3-rounded to the nearest tenth.
Step-by-step explanation:
A rectangle has an area of 273.48 square kilometers and a base of 15.9 kilometers. What is the height?
Answer:
The height is 17.2 milometers.
Step-by-step explanation:
l*w=A
273.48=15.9*h
1/15.9*273.48=15.9*1/15.9*h
17.2=h
Answer:
17.2 kilometers
Step-by-step explanation:
A=w*l or b*h
So to find the height you divide the total of 273.48 and divide it by the base of 15.9.
273.48÷15.9=17.2
Which best describes the association and the shape of the scatter plot below?
Answer:add the scatter plot
Step-by-step explanation:
Which equation will help you find the measure of
angle x?
Answer:
x + 97 = 180
Step-by-step explanation:
Being that vertical line is straight, that 97 degrees and x must add up to equal 180 degrees. Therefore, x + 97 = 180 would help you solve for x.
Given: m LHE =84°
Find: m∠EYL.
Answer: [tex]m\angle EYL=96\°[/tex]
Step-by-step explanation:
For this exercise you need to use the formula for calculate the measure of the angle formed by two tangents intersecting outside of a circle. This is:
[tex]Angle\ formed \ by\ two\ tangents = \frac{1}{2}(Difference\ of\ Intercepted\ Arcs)[/tex]
According to the information given in the exercise, you know that:
[tex]Angle\ formed \ by\ two\ tangents = m\angle EYL\\\\Difference\ of\ Intercepted\ Arcs=m LVE-mLHE[/tex]
Since there are 360 degrees in a circle, you can determine that:
[tex]mLVE=360\°-mLHE\\\\mLVE=360\°-84\°\\\\mLVE=276\°[/tex]
Therefore, knowing these values, you can substitute them into the formula given above and the evaluate, in order to find the measure of the angle EYL. This is:
[tex]m\angle EYL=\frac{1}{2}(276\°-84\°) \\\\m\angle EYL=96\°[/tex]
► 00:00
Lorenzo has a package that weighs 2 pounds.
He wants to check the weight of the package on a scale, but he only has weights that are measured in ounces
Drag the weights into the box that will balance the scale. Each weight can be used once or not at all,
4 oz
10 OZ
12 oz
16 OZ
30 oz
Weights Needed to Balance Scale
Answer:
16 oz, 12 oz, 4 oz
Step-by-step explanation:
Since 1 pound is equal to 16 ounces, and you can only use each weight once or not at all, you can determine how much is needed by simply adding.
2 pounds is equal to 32 ounces.
To achieve 32 ounces, you can use a 16 ounce weight, which will then bring the scale to need 16 ounces.
After this you can youse a 12 ounce weight, which brings it down to 4 ounces.
The last weight needed is the 4 ounce weight which will then level out the balance scale.
What is the area of this irregular figure
O 54 cm?
O 72 cm?
O 216 cm?
432 cm?
Answer:
72
Step-by-step explanation:
Area= height x width
12 X 6 = 72
The area of this irregular figure is,
⇒ A = 54 cm²
We have to given that;
Figure is shown in image.
Here, Figure is made by a rectangle and a triangle.
Hence, The area of this irregular figure is,
⇒ A = 1/2 (12-6) × 6 + (6 × 6)
⇒ A = 1/2 × 6 × 6 = 36
⇒ A = 18 + 36
⇒ A = 54 cm²
Thus, The area of this irregular figure is,
⇒ A = 54 cm²
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Triangle XYZ is located in the first quadrant of the coordinate plane. If this triangle is
reflected over the y -axis, what is true about the vertices of the reflection?
A. The x-values are negative and the y-values are positive.
B. The x-values are positive and the y-values are negative.
C. The x- and y-values are positive.
D. The x- and y-values are negative,
PLZ HELP!!
Answer:
the answer is C. they are both positive.
Step-by-step explanation:
This is because over the y axis is the first quadrant which is always positive.
Final answer:
Upon reflection over the y-axis, the x-values of the vertices become negative, and the y-values remain positive; hence, option A is correct.
Explanation:
The question asks what is true about the vertices of a triangle located in the first quadrant of the coordinate plane when it is reflected over the y-axis. A reflection over the y-axis in the Cartesian coordinate system would mean that for any point (x, y) on the triangle, the x-coordinate would change its algebraic sign while the y-coordinate would remain the same. This is due to the properties of reflection over an axis where coordinates perpendicular to the axis of reflection change signs, and those parallel remain unchanged.
The correct answer here would be A. The x-values are negative because they are reflected across the y-axis, changing their signs from positive to negative. However, the y-values would remain positive since the triangle is still located in the quadrant above the x-axis, where y-values are positive.
In ΔSTU, u = 23 inches, ∠T=158° and ∠U=17°. Find the length of t, to the nearest 10th of an inch.
Answer: t = 29.5 inches
Step-by-step explanation:
Given that the ΔSTU, u = 23 inches, ∠T=158° and ∠U=17°.
We can Find the length of t by using sine rule
t/saint = u/sinU
t/sin158 = 23/sin17
t = sin158 × 23/sin17
t = 29.47 inches
t = 29.5 inches
Answer:
29.5
Step-by-step explanation:
Question in image! There is multiple answers. (Thanks for help
Answer:
7(x+2)
7x+14
(7)(x)+(7)(2)
Step-by-step explanation:
Please answer 5x < 10?
Answer:
x < 2Step-by-step explanation:
Solving inequalities is easy, you just need to follow the standard rules of algebra. Also, when multiplying or dividing by a negative number, the inequality sign is reversed.
Step 1: Divide by 5
x < 2
Step 2: Check
5(1) < 10
5 < 10✔️
Step 3: Check Again
Since an inequality has multiple solutions, it is important to check at least 2, to determine if the entire range of solutions is true.
5(-6) < 10
-30 < 10✔️
Step 4: Verified Answer
x < 2
I'm always happy to help :)
Answer: x < 2
Step-by-step explanation: Since x is being multiplied by 5, we divide by 5 on both sides of the inequality to get x < 2.
Express the height of the following rectangular prism in meters. (Note: 1 m = 100 cm) 750 m 7.5 m 7,500 m 0.75
The height of the rectangular prism in meters is calculated as: D. 0.75 m.
What is a Rectangular Prism?A rectangular prism is a type of a box having a width, length, and a height.
The height of the rectangular prism is 75 cm.
1 m = 100
75 cm converted to meters would be: 75/100 = 0.75 meters.
Thus, the height of the rectangular prism is calculated as: D. 0.75 meters.
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Answer:
0.75
Step-by-step explanation:
hope this helps
Timed test please help. Can someone please help me explain how you graph the circle from the equation below and how you find the center and the radius? I will mark brainliest.
In a short paragraph, explain how to solve for the value of x in 3x-5=11
Answer:
Fist you add 5 to the -5 and 11. Then you should get 3x=16. Next you divide 3 on both sides. Your answer should be x=16/3.
Step-by-step explanation:
James cut out four parallelograms, the dimensions of which are shown below. Parallelogram 1 length: 12 in. width: 15 in. diagonal: 20 in. Parallelogram 2 length: 16 in. width: 30 in. diagonal: 34 in. Parallelogram 3 length: 20 in. width: 21 in. diagonal: 29 in. Parallelogram 4 length: 18 in. width: 20 in. diagonal: 26 in. James put the parallelograms together so one vertex from each paper exists on a point, as shown in the circle. 4 parallelograms are put together so that one vertex from each paper exists on a point. Which statement explains whether or not the parallelgrams can be put together so each occupies one-quarter of the area of the circle without overlapping any other pieces? Check all that apply. The quadrilaterals can be placed such that each occupies one-quarter of the circle. The quadrilaterals cannot be placed such that each occupies one-quarter of the circle because the vertices of parallelogram 1 do not form right angles. The quadrilaterals cannot be placed such that each occupies one-quarter of the circle because the vertices of parallelogram 2 do not form right angles. The quadrilaterals cannot be placed such that each occupies one-quarter of the circle because the vertices of parallelogram 3 do not form right angles. The quadrilaterals cannot be placed such that each occupies one-quarter of the circle because the vertices of parallelogram 4 do not form right angles.
Answer: The correct options are options 1 and 4.
The quadrilaterals cannot be placed such that each occupies one quarter of the circle because the vertices of parallelogram 1 do not form right angles.
The quadrilaterals cannot be placed such that each occupies one quarter of the circle because the vertices of parallelogram 4 do not form right angles.
Step-by-step explanation: When you have the dimensions of a quadrilateral given along with the diagonal (which is also the hypotenuse) you basically have the quadrilateral divided into two triangles. You can determine if the triangles are going to be right angled or not simply by using the Pythagoras theorem as a test.
Note also that if the angles are right angled, then the quadrilaterals can all be conveniently placed, one in each quarter of the circle without overlapping. This is possible because each quarter of a circle measures 90 degrees.
To test if the angles formed are right angled we shall take the following steps;
Pythagoras theorem states that; AC² = AB² + BC²
Where AC is the longest side (hypotenuse), and AB and BC are the other two sides.
(Quad 1) ------> 20² = 12² + 15²
400 = 144 + 225
400 ≠ 369
Both sides pf the equation are not equal, hence the vertices of parallelogram 1 do not form a right angle.
(Quad 2)------> 34² = 16² + 30²
1156 = 256 + 900
1156 = 1156
Both sides of the equation are equal, hence the vertices of parallelogram 2 forms a right angle
(Quad 3)------> 29² = 20² + 21²
841 = 400 + 441
841 = 841
Both sides of the equation are equal, hence the vertices of parallelogram 3 forms a right angle
(Quad 4)------> 26² = 18² + 20²
676 = 324 + 400
676 ≠ 724
Both sides sides of the equation are not equal, hence the vertices of parallelogram 4 do not form a right angle.
From the results shown above, if the four parallelograms are placed in each of the four corners of the circle, they would definitely overlap because two of them do not form right angles at their vertices.
Answer:
B & E
Step-by-step explanation:
The quadrilaterals cannot be placed such that each occupies one-quarter of the circle because the vertices of parallelogram 1 do not form right angles.
The quadrilaterals cannot be placed such that each occupies one-quarter of the circle because the vertices of parallelogram 4 do not form right angles.
Question 2
0 Find 2/3 + 1/2
Answer:
1 1/6
Step-by-step explanation:
Answer:
7/6
Step-by-step explanation:
2/3 + 1/2 = (2*2)/(3*2)+ (1*3)/(2*3)=4/6+3/6=(4+3)/6=7/6
Or the mixed numer: 7/6 =1 1/6
The parks department is installing a new picnic area that measures 20 yards by 48 feet.
They are going to cover the new picnic area with square pieces of sod.
If the sod costs $11 per square yard, how much will the parks department pay to completely cover the picnic area with sod?
Answer:
$3520
Step-by-step explanation:
Conversion
To convert feet to yards, we divide the measurement of feet by 3 hence for dimenaion given as 48 ft, it will be 48÷3=16 yards
The area will be given by the product of length and width and since both measurements are given
A=lw
A=16*20=320 yd²
Cost will be 320*11=$3520
Therefore, the department will have to pay $3520 for the work to be completed
The interest on a $6,000, 6%, 60-day note receivable is
a. $30.
b. $360
c. $180.
d. $60.
Answer:
The answer is c or $180
Step-by-step explanation:
The histogram shows how many jogging runs Maria made for each interval of miles.
( this is what the histogram shown has)
A histogram titled Maria's Monthly Jogging has miles run on the x-axis and number of runs on the y-axis. 1 to 1.99 miles is 2 runs; 2 to 2.99 miles is 5 runs; 3 to 3.99 miles is 5 runs; 4 to 4.99 miles is 3 runs; 5 to 5.99 miles is 4 runs; 6 to 6.99 is 7 runs; 7 to 7.99 miles is 4 runs.
Which statement about the histogram is true?
The majority of Maria’s runs were short, two-mile runs.
More than half Maria’s runs were less than five miles each.
The majority of Maria’s runs were between five and six miles.
At least 15 of Maria’s runs were more than four miles each.
Answer:
at least 15 of Maria's runs were more than four miles each
Step-by-step explanation:
Answer:
D
Step-by-step explanation: