A triangle and a rectangle are drawn. The triangle's base is equal to the rectangle's length. The triangle's height is equal to the rectangle's width. Which sentence is true?
A.)exactly 1 of these rectangle's can fit inside this triangle.
B.)2 of these rectangles can fit inside this triangle
C.)exactly 1 of these triangle's can fit inside this rectangle
D.)2 of these triangles can fit inside this rectangle
Exactly 1 of these triangles can fit inside this rectangle.
Explanation:The sentence that is true is exactly 1 of these triangles can fit inside this rectangle. To understand why, let's analyze the dimensions of the triangle and the rectangle. Suppose the base of the triangle is 4 units and the height is 3 units. If the length of the rectangle is also 4 units and the width is 3 units, the triangle will perfectly fit inside the rectangle. However, if the length or width of the rectangle is different from the corresponding dimensions of the triangle, it will not be possible to fit the triangle inside the rectangle without overlapping.
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A news anchorman can read 7.5 lines in 0.5 minutes. How many lines can he read in 8.5 minutes? Round the answer to the nearest tenth, if necessary.
A. 15.0 lines B. 127.5 lines
C. 31.9 lines D. 2.7 lines
Write the resultant if the 2 vectors as an ordered pair.
<5, -2> and <0,0>
how many times does a person blink in 1.5 min
Explain how you would use a number line to find to find the absolute value of-12
The absolute value of -12 is 12 and we can find it on the number line by going 24 times right from -12.
What is absolute value?The absolute value or modulus of a real number x, and we know that modulas always gives a positive number.
How to determine absolute value?The number which is given in the question is -12 and we have to find the absolute value of this number. To find out the absolute value we have to put this number in modulas.
I -12 I =it will give us 12
to make -12 to 12 we need to first take it to 0 by adding 12 and then from 0 to 12 by adding another 12. We have added 24 to-12 to reach 12.
In this way we can find the absolute value of -12 on number line.
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What if mac bought8pack of toy boats and then he gave his friend 3boats? If mac has 13 boats now,how many boats were in each pack?
What is 20 percent of 60
Amount Saved = Original Price x Discount % / 100. So,
Amount Saved = 60 x 20 / 100
Amount Saved = 1200 / 100
Amount Saved = $12 (answer)
what is 9,750,000,000 in scientific notation
A rectangular prism has a length of 3 1/2 inches, a width of 3 1/2 inches, and a height of 7 inches. Danny has a storage container for the prism that has a volume of 90 cubic inches.
What is the difference in volume between the prism and the storage container?
PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!!
if the r-value, or correlation coefficient, of a data set is 0.854, what is the coefficient of determination to three decimal places?
Answer with explanation:
Coefficient of determination(r²), is defined as, how well the data values are associated with each other when Regression line is drawn. In regression analysis, the coefficient of determination measures , how well the regression predictions approximate the real data points, means it measures the closeness between two variables.The Value of r², lies between 0 to 1. If value of r²=1, it shows ,regression line that is data values are Perfectly associated with each other.
If ,r²=0, it means there is no variation between two variables.There is 0% variation between two variables.
→Coefficient of Variation=[Correlation coefficient]²
=r²
=(0.854)²
=0.854 × 0.854
=0.729316
=0.730(Approx)
Renee is making a scale diagram of her mp3 player. The length of her scale drawing is 8 inches, and the width is 14 inches. The actual length of the mp3 player is 4 centimeters, and the width is 7 centimeters. what is the scale factor?
The scale factor is 1:2 or 1/2.
To determine the scale factor between the actual dimensions and the scale drawing, divide the actual length and width by the corresponding values in the scale drawing dimensions. In this case, the scale factor is 1:2 or 1/2.
To find the scale factor:
Calculate the ratio of the actual length to the scale length: 4 cm / 8 in = 0.5Calculate the ratio of the actual width to the scale width: 7 cm / 14 in = 0.5Since both ratios are the same, the scale factor is 1:2 or 1/2.A data set contains three points, and two of the residuals are -10 and -20. What is the third residual?
The residuals of any data set should get added to zero. If there are three residuals (say A, B, and C) in any data set, then it could be written as A + B + C = 0.
Given are the two residuals -10 and -20 out of three point in a particular data set.
Let's assume A = -10 and B = -20, so that we could find third value C of the given data set.
We know A + B + C = 0
(-10) + (-20) + C = 0
(-30) + C = 0
C = 30
It means that third residual must be 30.
Hence, the final answer is 30.
Answer:
30
Step-by-step explanation:
Ramona is asked to draw a tree using a scale of 1 inch:3 meters.She draws a 4-inch tree.How tall is the tree?
what is the inverse of the conditional statement? If a polygon the has five angles, then it is a Pentagon
Answer: The inverse f the given statement is
"If a polygon is not a Pentagon, then it does not have five sides".
Step-by-step explanation: We are given to write the inverse of the following conditional statement:
"If a polygon the has five angles, then it is a Pentagon".
INVERSE of a conditional statement :
If the conditional statement is
"If p, then q",
then its inverse statement is given by
"If not q, then not p".
Therefore, the inverse of the given statement is
"If a polygon is not a Pentagon, then it does not have five sides".
Answer:
It is Option C If a polygon does not have five angles then it is not a pentagon.
Step-by-step explanation:
The state capitol building in Baton Rouge, Louisiana, is 450 feet tall. Ella’s scale model of the building uses the scale 25 feet = 10 inches. How tall is Ella’s model? 18 inches 180 inches 1,125 inches 425 inches
Which expression is equivalent to 1/4(2−5x+6) ?
Please answer fast!
The equivalent expression for the given expression is 2-5x/8.
What is an equivalent expression?Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.
The given expression is 1/4(2-5x+6).
The equivalent expression is
1/4(8-5x)
=8/4 -5x/8
= 2-5x/8
Therefore, the equivalent expression is 2-5x/8.
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To find the equivalent expression to 1/4(2−5x+6), distribute 1/4 to each term inside the parentheses to get 1/2 - 5/4x + 3/2.
To simplify the expression 1/4(2−5x+6), you need to distribute the 1/4 to each term inside the parentheses:
1/4 * 2 = 1/21/4 * (-5x) = -5/4x1/4 * 6 = 3/2Putting it all together, the equivalent expression is 1/2 - 5/4x + 3/2.
A rectangle 7 feet longer than it is wide find the dimensions of the rectangle if its area is one 198 sq ft.
do anyone know how to solve this? need the answer fast.
This semicircle has a diameter of 5 meters.
What is the area of this figure?
Use 3.14 to for pi.
Enter your answer as a decimal in the box. Round your answer to the nearest hundredth.
Cameron has clear container in the shape of a cube.Each egde 9 centimeters long.He found the volume of the container in cubic centimeters by multiplying the egde length by itself 3 times.What is the volume of the container in the cubic
420% of what number is 26,565
beer Bottles are filled so that they contain an average of 475 ml of beer in each bottle. Suppose that the amount of beer in a bottle is normally distributed with a standard deviation of 8 ml.
Find the balance in the account after the given period.
$4,200 deposit earning 4.2% compounded monthly, after 2 years. Use the direction in the pic plz.
Use the parabola tool to graph the quadratic function f(x)=x2−12x+27.
Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.
The vertex of a parabola is the minimum or the maximum point of the parabola
The equation of the parabola is given as:
[tex]f(x) = x^2 + 12x + 27[/tex]The x-coordinate of the vertex is calculated using:
[tex]x = -\frac{b}{2a}[/tex]
So, we have:
[tex]x = -\frac{12}{2 \times 1}[/tex]
[tex]x = -\frac{12}{2}[/tex]
[tex]x = -6[/tex]
Substitute -6 for x in f(x)
[tex]f(-6) = (-6)^2 + 12(-6) + 27[/tex]
[tex]f(-6) =-9[/tex]
So, the vertex of the parabola is (-6,-9)
Let x = 0.
So, we calculate f(0) as follows:
[tex]f(0) = (0)^2 + 12(0) + 27[/tex]
[tex]f(0) = 27[/tex]
This means that f(x) passes through (0,27)
See attachment of the parabola
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What is the volume of a right circular cylinder with a radius of 4 m and a height of 4 m?
the length of bill's backyard swimming pool is 60 ft longer than the width if the pool. The surface area of the water is 1600 square ft. What is the width of the pool?
To find the width of Bill's rectangular pool, set up an equation with 'x' as the width, resulting in x(x + 60) = 1600. Solving this quadratic equation, the width of the pool is found to be 20 feet.
The question asks us to determine the width of Bill's backyard swimming pool given that the pool's length is 60 feet longer than its width and the surface area of the water is 1600 square feet. To solve this, we can set up an equation where the width of the pool is x feet and the length is x + 60 feet. Because surface area is found by multiplying the length by the width for a rectangular object, our equation is x(x + 60) = 1600.
Now, solve for x:
x^2 + 60x = 1600x^2 + 60x - 1600 = 0We can solve this quadratic equation by factoring or using the quadratic formula. In this case, the equation factors nicely:
(x + 80)(x - 20) = 0Setting each factor equal to zero gives us:
x + 80 = 0 or x - 20 = 0x = -80 or x = 20Since a negative width doesn't make sense for a physical object, we discard x = -80 and the width of the pool is 20 feet.
if triangle rst is an acute angle then m
A pair of running shoes costs five dollars more than a pair of regular tennis shoes .. the total cost for both is one 115 $ What is the price of the regular tennis shoes?
Work out the area of a triangle of base 7.5m and height 6cm
What is the period of the function f(x) shown in the graph?