The area of a given isosceles triangle with sides of 1 foot in length and a 45-degree angle between these sides is 0.5 square feet.
Explanation:The area of an isosceles triangle can be calculated using the formula 1/2 base times height. But since we know that the triangle is isosceles and the angle between the equal sides is 45 degrees, this forms a 45-45-90 degree triangle which is a special kind of triangle. In a 45-45-90 degree triangle, the lengths of the sides are in the ratio 1:1:√2. Therefore, the length of the base (which also serves as the height in this case) will be the same length as the equal sides, 1 foot. Substituting these into the formula for area, we get Area = 1/2 * 1 ft * 1 ft = 0.5 square feet.
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5n+5=45 what does n =
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0.5 log3 x=2 x = what
If you need to see up direct deposit which information from your check would you likely need A. Check number B. Memo line C. Numerical amount D. Routing number
Isabella works at Baker's Book company. If she earned a commission of $63.75 on her sales of $850, what was Isabella's rate of commission?
If the triangle on the grid below is translated by using the (x,y) -> (x+5, y-2) rule, what will be the coordinates of B'?
(–2, 0)
(0, –2)
(5, –7)
(5, –2)
Answer:
[tex]B(-5,0)\rightarrow B'(0,-2)[/tex]
Step-by-step explanation:
From the diagram, B has coordinates [tex](-5,0)[/tex].
We want to find the coordinates of B' after a translation by the rule;
[tex](x,y)\rightarrow(x+5,y-2)[/tex],
We apply the rule to obtain;
[tex]B(-5,0)\rightarrow B'(-5+5,0-2)[/tex],
This implies that;
[tex]B(-5,0)\rightarrow B'(0,-2)[/tex]
Therefore the correct answer is B
Nina wants to put color tiles on a square. 3 color tiles fit across the top of the square. How many rows and columns of square will Nina need? How many color tiles will she use in all?
Nina will need 3 rows and 3 columns of square tiles. She will use 9 color tiles in total to cover the square.
To determine how many rows and columns of square tiles Nina needs, and how many color tiles in total she will use, let's break down the problem step by step:
1. Width and Height of the Square:
Nina can fit 3 color tiles across the top of the square. This implies the width of the square is 3 color tiles.2. Rows and Columns Calculation:
Since the square has 3 tiles across the top, and assuming the square is symmetric (same number of tiles in width and height):
Number of columns(width) = 3 tiles Number of rows (height) = 3 tiles So, Nina will need 3 columns and 3 rows of square tiles.3. Total Number of Color Tiles:
To find out how many color tiles Nina will use in total, calculate the area of the square:
Area of the square = [tex]\( \text{Number of rows} \times \text{Number of columns} \)[/tex]
Area = [tex]\( 3 \times 3 = 9 \)[/tex] color tiles
Therefore:
Nina will need 3 rows and 3 columns of square tiles.
She will use 9 color tiles in total to cover the square.
The digits of a certain three-digit number are consecutive odd numbers. If the sum of the digits is 15, find the number.
Let the digits of the 3 digit number be [tex] x-2,x,x+2 [/tex]. where [tex] x [/tex] is an integer greater than 1. It is given that the sum of the 3 digits is 15. Hence,
[tex] x-2+x+x+2=15\\
3x=15\\
x=5 [/tex]
Thus the digits are [tex] 3,5,7 [/tex].
Therefore, the number is [tex] 357 [/tex].
We assume that the digits of the number is increasing from the 100th place.
Is -6.175 is an irrational number?
Use a proportion to convert 18 grams to milligrams. [Hint: 1,000 mg = 1 g.]
Solve this system of equations: y = x2 – 3x + 12 y = –2x + 14 1.Isolate one variable in the system of equations, if needed. y = x2 – 3x + 12 y = –2x + 14 2.Use substitution to create a one-variable equation. –2x + 14 = x2 – 3x + 12 3.Solve to determine the unknown variable in the equation. What are the values of x?
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15 points!!! GEOMETRY help please!!
Questions attached!
Answer:
\text{If QR is tangent to circle then m}\angle PQR=90^o
\text{We can use the converse of Pythagorean theorem}
8\ and\ 4\sqrt3\\\\check:\ 4^2+(4\sqrt3)^2=8^2\\16+16\cdot3=64\\16+48=64\\64=64\ -O.K.\\\\2\ and\ 4\sqrt2\\\\check:\ 4^2+2^2=(4\sqrt2)^2\\16+4=16\cdot2\\20=32\ -FALSE\\\\3\ and\ 5\\\\check:\ 3^2+4^2=5^2\\9+16=25\\25=25\ -O.K.\\\\2\ and\ 2\sqrt5\\\\check:\ 4^2+2^2=(2\sqrt5)^2\\16+4=4\cdot5\\20=20\ -O.K.\\\\6\ and\ 10\\check:\ 4^2+6^2=10^2\\16+36=100\\52=100\ -FALSE
\text{Answer:}\boxed{8\ and\ 4\sqrt3;\ 3\ and\ 5;\ 2\ and\ 2\sqrt5}
10.
\text{Look at the pictures}
\text{Therefore}\\\\C=2\cdot8+2\cdot16+2\cdot9+2\cdot6=16+32+18+12=78cm
Other\ method:\\C=2\cdot(8+16+6+9)=2\cdot39=78cm
Step-by-step explanation:
Multiply 3i(−1 + 2i). What is the simplified version written in standard form, a + bi, where a and b are real numbers?
Stefano calculated the mean absolute deviation for the data set 32, 4, 12, 40, 20, and 24. His work is shown below. Step 1: Find the mean. mc006-1.jpg Step 2: Find each absolute deviation. 10, 18, 10, 18, 2, 2 Step 3: Find the mean absolute deviation. mc006-2.jpg What is Stefano’s error? Stefano should have divided by 5 when finding the mean. Stefano found the absolute deviation of 20 incorrectly. Stefano should have divided by 6 when finding the mean absolute deviation. Stefano did not find the correct value for the mean.
Answer:
Stefano should have divided by 6 when finding the mean absolute deviation. ed quiz correct
Step-by-step explanation:
x-5 is less than or equal to 1/3 (9x-6)
a local club is arranging a charter flight to hawaii. the cost of the trip is $574 each for 81 passengers, with a refund of $5 per passenger for each passenger in excess of 81.
find the number of passengers that will maximize the revenue recieved from the flight
also find the maximum revenue.
Zoologists are studying two newly discovered species of insects in a previously unexplored section of rain forest. They estimate the current population of insect A to be 1.3 million and the current population of insect B to be 2.1 million. As development is encroaching on the section of rain forest where these insects live, the zoologists estimate the populations of insect A to be reducing at a rate of 3.8% and insect B to be reducing at a rate of 4.6%. If P represents the population of each species of insect in millions, and t represents the elapsed time in years, then which of the following systems of equations can be used to determine how long it will be before the populations of the two species are equal?
According to the distributive property, 6(a + b) =
find the lateral area of the prism 3m 6m 3m 6m 15m
To find the lateral area of a prism, we calculate the combined area of its vertical rectangular faces, excluding the top and bottom faces. This prism has dimensions of 3m x 6m x 15m. It has two pairs of congruent rectangular faces: one pair with dimensions 3m x 15m and the other with dimensions 6m x 15m. The area of each face is determined by multiplying its length by its height. For the first pair of faces, the area is 3m * 15m = 45 square meters each. Similarly, for the second pair, the area is 6m * 15m = 90 square meters each. Adding these areas together (2 * 45 + 2 * 90), we get a lateral area of 270 square meters.
Complete answer;
find the lateral area of the prism 3m 6m 3m 6m 15m
Nico dropped the brand new bottle of dog shampoo and 3 ounces spilled out. He measures 1 1/4 ounces each time he shampoos his dog and the bottle of shampoo originally contained 30 1/2 ounces. Which is the correct equation and value of x, the number of times Nico can bathe his dog using this one bottle?
Nico can bathe his dog 22 times using the one bottle of shampoo.
Explanation:To find the number of times Nico can bathe his dog using the one bottle of shampoo, we need to determine how many times 1 1/4 ounces can fit into the remaining shampoo in the bottle after 3 ounces have spilled out.
First, subtract the spilled amount of 3 ounces from the original amount of shampoo in the bottle, which is 30 1/2 ounces. This gives us 27 1/2 ounces remaining.
Next, divide the remaining amount of shampoo by the amount used per bath (1 1/4 ounces each time).
27 1/2 ounces ÷ 1 1/4 ounces = 22 baths
Therefore, Nico can bathe his dog 22 times using the one bottle of shampoo.
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Write out the first four terms of the maclaurin series of f(x) if f(0)=−13,f′(0)=−6,f″(0)=5,f‴(0)=6 f(x) = +⋯
PLZ HELP ASAP TANGENTS OF A CIRCLES PROBLEMS
Help see photo attached
what is -1/2x+1=9 with work shown.
You collect old coins. today, you have two coins each of which is valued at $100. one coin is expected to increase in value by 5.2 percent annually while the other coin is expected to increase in value by 5 percent annually. what will be the difference in the value of the two coins 25 years from now?
how to get arc length when central angle is 139
To find the arc length when the central angle is 139 degrees, multiply the fraction of the circle that the angle represents (139/360) by the circle's circumference formula (2πr), where r is the radius.
Explanation:Calculating Arc Length with a Known Central Angle
To calculate the arc length when the central angle is 139 degrees, you need to know the radius of the circle. The arc length, As, is the distance traveled along the circumference of a circle as the radius is rotated through a given angle. Since there are 360 degrees in a full revolution, a central angle of 139 degrees represents a fraction 139/360 of the full circle.
The circumference of the entire circle is given by the formula 2πr, where r is the radius. Therefore, the arc length can be calculated by multiplying the fraction of the circle represented by the angle (in this case, 139/360) by the total circumference. The formula to determine the arc length As is:
As = (139/360) × 2πr
By knowing the radius and the central angle, you can substitute these values into the formula to find the arc length for any circular path.
Hank delivers packages in his office building. On Tuesday he delivered four more packages than on Monday, and on Wednesday he delivered 6 more packages than on Monday. If he delivered 28 packages all together, how many did he deliver on Monday?
A) 6
B) 10
C) 18
D) 22
Answer:
a
Step-by-step explanation:
Which absolute value statement describes a 40 yard gain in football? A. |40| = 40, B. |-40| = 49, C. -|40| = 40, D. -|40| = 40,
Answer:
d
Step-by-step explanation:
The scores of individual students on the act program composite college entrance examination have an approximately normal distribution with mean 18.6 and standard deviation 6.0 and northside high 30 16 years take the test as soon that the scores at this school have the same distribution as national scores what is the probability that a randomly-chosen student has a score of higher than 20 points