Answer:
The top of the ladder touches the tree 14 ft above the ground.
Step-by-step explanation:
The Pythagorean Theorem incorporates the ladder length (17.5 ft), the distance of the base of the ladder from the base of the tree (10.5 ft), and the point where the ladder touches the tree (x ft):
x^2 + 10.5^2 = 17.5^2, or
x^2 + 110.25 = 306.25. Then x^2 = 196, and x = +14 (Answer C)
The top of the ladder touches the tree 14 ft above the ground.
An art teacher is ordering colored pencils for the new school year. The table shows the number of colored pencils per box size. Box Size Number of Colored Pencils Small 12 Medium 64 Large 100 The teacher buys 24 small boxes, 12 medium boxes, and 5 large boxes. She had to return 3 small boxes due to defects. How many colored pencils does the teacher have in all?
Answer: 1520
Step-by-step explanation:
Multiply 24 times 12
Multiply 12 times 64
Multiply 5 times 100
Add the three sums
Subtract the product of 3 times 12
(288 + 768 + 500 = 1,556. 1,556 - 36 = 1520)
Multiplication Rule: Rewrite the product as a single power.
8^4 · 8^5 =
(8 to the 4th power/ 8 to the 5th power)
Answer:
\( {8}^{9} \)
Step-by-step explanation:
\( {8}^{4} \times {8}^{5} = {8}^{4 + 5} = {8}^{9} \)
Use the properties of power (when multiplying equal bases with different power exponents, the exponents are added together)
Answer:
8^9
Step-by-step explanation:
You add the exponents together.
Complete the table, will choose brainliest.
Answer: The number of snakes with a slug preference increased.
Explanation:
When looking at the data, you can see that the number of snakes with a slug preference started at 77, and ended at 103. This is an increase of 26. Whereas the number of snakes with a fish preference decreased.
I hope this helped!
Good luck <3
[-85) x (-29) + 85
distributive property
someone please
solve it
\((-85) \times (-29) + 85 \\ \\ 2465 + 85 \\ \\ 2550.\)
Answer:
(-85) x (-29) + 85
-85 x -29 = 2465
2465 + 85 = 2550
answer 2550
Step-by-step explanation:
Can someone help pls will mark Brainly and 10+ points
Answer:
I am not able to recognise what is there in that picture sry
Answer:
11) Perimeter = 61.6inches or 61.64inches
12) Perimeter = 71.2inches or 71.24inches.
Step-by-step explanation:
Shape 11; = square 11 x 14 = 140+14 = 154 area
Perimeter square side is just three sides
= 11 x 2 + 14 = 36 inches
Shape 11 triangle = b9^2 + 14^2 = sqrt 81+ sqrt 196 = sq rt 277 = 16.643317
So we use 9+ 16.643317 =25.643317
Perimeter = 25.6 + 36 = 61.6 inches
Shape 12; =
We have 20 and 16 so we square these and take away to find a^2
20^2 - 16^2 = sq rt 144 = 12 inches vertical top line
Then repeat for missing slant edge but add instead of subtract as its a slant line we are looking for
12^2 + 10^2 = 144 +100 = 244 sq rt = 2√ 61. = 15.62 inches
Perimeter therefore is 20+20 as they both sets are congruent shapes = 40
+ 15.62+15.62 = 31.24
31.24+40= 71.24 inches
4/5 divided by 3/7 ?(non simplified)
GIVING 60 POINTSS
Answer:
28/15
Step-by-step explanation:
4/5 ÷ 3/7
4/5 * 7/3
28/15
Answer:
28/15 because you switch 3/7 to 7/3 and then you mutiply
4/5 and 7/3.
plz help me.
Triangle JKL is equilateral. All three interior angles have equal measures.
What is the measure of exterior angle 1?
30 degrees
60 degrees
120 degrees
130 degrees
\( {\underline {\boxed {\Large {\bf \gray { {120}^{\circ} } }}}} \)
Given :
• In ∆ JKL , all the three interior angles have equal measures.
To calculate:• Measure of \( \angle \) 1 ( Exterior angle )
Calculation:Here, we can solve this question in two ways.
By exterior angle property of ∆.By linear pair.______________________________
Let us calculate the measure of interior angles first.
→ Let the measure of each interior angle be x.
As all the interior angles of the triangle are equal,
\( \sf { \dashrightarrow {180}^{\circ} = {x}^{\circ} +{x}^{\circ}+{x}^{\circ} } \)
[ By angle sum property of ∆ ]
\( \sf { \dashrightarrow {180}^{\circ} = {3x}^{\circ} } \)
\( \sf { \dashrightarrow \dfrac{{180}^{\circ}}{3} = {x}^{\circ} } \)
\( \sf\red { \dashrightarrow {60}^{\circ} = {x}^{\circ} } \)
Therefore, measure of each interior angle of the triangle is 60°.
By exterior angle property of ∆ :As we know that,
Sum of two opposite interior angles of ∆ = Exterior angle\( \sf { \dashrightarrow \angle 1 = \angle K + \angle L} \)
\( \sf { \dashrightarrow \angle 1 = {60}^{\circ} + {60}^{\circ} } \)
\( \sf \green { \dashrightarrow \angle 1 = {120}^{\circ} } \)
⇒ Hence, measure of angle 1 is 120°.
By linear pair:→ \(\angle \) 1 + \(\angle \) J = 180°
→ \(\angle \) 1 + 60° = 180°
→ \(\angle \) 1 = 180° - 60°
→\(\angle \) 1 = 120°
⇒ Hence, measure of angle 1 is 120°.
Earn points, answer both questions!
Answer:
Area of five squares = 1289.09 square units
Perimeter = 194.6 units
Step-by-step explanation:
Area of square and perimeter:
First find the length of each square, then find the area of each square.
To find the area of five squares, add all the area of each square.
Side of square1 = 27 units
\(\sf Side \ of \ square2 = \dfrac{2}{3}*27=2*9 = 18 \ units\\\\Side \ of\ square3= \dfrac{2}{3}*18=2*6=12 \ units\\\\Side \ of \ square4=\dfrac{2}{3}*12=2*4=8 \ units\\\\Side \ of \ square5=\dfrac{2}{3}*8=\dfrac{16}{3}=5.3 \ units\)
Area of square1 = 27*27 = 729 square units
Area of square2 = 18*18 = 324 square units
Area of square3 = 12*12 = 144 square units
Area of square4 = 8*8 = 64 square units
Area of square5 = 5.3*5.3 = 28.09 square units
Area of five squares = 729 + 324 + 144 + 64 +28.09
= 1289.09 square units
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Perimeter of the composite figure = (27 + 27+27+9) + (18+18+6) +(12+12+4) + (8+8+2.7)+ (5.3+5.3+5.3)
= 90 + 42 + 28 + 18.7 + 15.9
= 194.6 units
math pls help me....
Answer:
1 is 72%
2 is 0.85
3 is 0.26 and 26%
4 is 31/50 an 62%
4 is 0.45 and 9/20
Step-by-step explanation:
Answer:
(in order of blanks)
percents : 72, 26, 62
decimals : 0.85, 0.26, 0.45
fractions : 31/50, 45/100
Step-by-step explanation:
try those
Ed has a piece of string for a craft project that measures
21.72
inches long. Georgiana’s string is
1
6
of the length of Ed’s string. How long is Georgiana’s string?
0.17
inches
0 point 1 7, inches
3.62
inches
3 point 6 2, inches
21.72
inches
21 point 7 2, inches
27.72
inches
27 point 7 2, inches
Answer:
3.62 inches
Step-by-step explanation:
Given :
Ed's string length = 21.72 inches
Georgiana's string length = 1/6 of Ed's string length
To Find :
Georgiana's string length
Solving :
Georgiana's string length = 1/6 of Ed's string length
Georgiana's string length = 1/6 × 21.72
Georgiana's string length = 21.72/6
Georgiana's string length = 3.62 inches
Answer:
3.62 inches
Step-by-step explanation:
Step-by-step explanation:
Given that Ed's string length is = 21.72 inches
And that Georgiana's string length is = 1/6 of Ed's string length
We need to find Georgiana's string length
Georgiana's string length = 1/6 of Ed's string length
And Georgiana's string length = 1/6 × 21.72
Georgiana's string length = 21.72/6
Which would bring us that Georgiana's string length is = 3.62 inches
I hope this helps, if it doesn't then just message me and ill be more than happy to help :)
Keira said that if 6 tickets are sold, there should be 2 tickets left. Is Keira correct?
Jeff said that the absolute values of the numbers represented by the two points are different. Taylor said that the absolute values of the numbers represented by the two points are the same. Which of the following explains who is correct?
(A) Jeff, because the points are of different signs
(B) Jeff, because the points are at different locations
(C) Taylor, because each of the two points is 7/8 unit from 0
(D) Taylor, because the distance between the two points is 7/8 unit
Use the Midpoint Rule with \(n=5\) to estimate the volume obtained by rotating about the y-axis the region under the curve \(y=\sqrt{1+x^3}\), \(0\leq x\leq 1\).
To estimate the volume using the Midpoint Rule with \(\displaystyle n=5\), we need to divide the interval \(\displaystyle 0\leq x\leq 1\) into \(\displaystyle n\) subintervals of equal width. Since \(\displaystyle n=5\), each subinterval will have a width of \(\displaystyle \Delta x=\frac{1-0}{5}=\frac{1}{5}\).
Now, let's calculate the volume using the Midpoint Rule. The formula for the volume obtained by rotating about the y-axis is:
\(\displaystyle V\approx 2\pi \sum _{i=1}^{n}y_{i}\Delta x\)
where \(\displaystyle y_{i}\) represents the value of the function \(\displaystyle y=\sqrt{1+x^{3}}\) evaluated at the midpoint of each subinterval.
First, let's find the midpoints of the subintervals. Since the width of each subinterval is \(\displaystyle \Delta x=\frac{1}{5}\), the midpoint of the \(\displaystyle i\)-th subinterval is given by:
\(\displaystyle x_{i}=\frac{\Delta x}{2}+\left( i-\frac{1}{2}\right) \Delta x=\frac{1}{10}+\left( i-\frac{1}{2}\right) \frac{1}{5}\)
Substituting \(\displaystyle x_{i}\) into the function \(\displaystyle y=\sqrt{1+x^{3}}\), we obtain:
\(\displaystyle y_{i}=\sqrt{1+\left( \frac{1}{10}+\left( i-\frac{1}{2}\right) \frac{1}{5}\right) ^{3}}\)
Now, we can calculate the approximate volume using the Midpoint Rule:
\(\displaystyle V\approx 2\pi \sum _{i=1}^{5}y_{i}\Delta x\)
Substituting the values of \(\displaystyle y_{i}\) and \(\displaystyle \Delta x\) into the formula, we can evaluate the sum and compute the estimated volume.
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
The table represents linear function F
Answer:
D
Step-by-step explanation:
First we need to find the rate of change of function F. Function F have a slope/rate of change of (24-18)/(6-4)=6/2=3. Next we compute the slope/rate of change of Function G which is 4. Hence D is the answer
ALGEBRA 1
Find the number of terms in the sequence given below:
1.5, 9, 13, ........, 201
a. 51
b. 42
c. 59
d. 45
Answer:
a. 51
Step-by-step explanation:
\(t_{n} =a+(n-1)d\)
201 = 1 + (n - 1)4
200 = (n - 1)4
50 = n - 1
51 = n
4.5 multiplied by x = 81. what represents x?
Talia is making gift baskets for her family. Each basket she makes contains 7 chocolate chip cookies and 12 oatmeal raisin cookies. If there are 6 people in her family and each person will get a basket, which expression gives the total number of cookies that Talia will need?
Answer: 19x6 maybe
Step-by-step explanation:
If you do 7+12=19 then multiply by 6
Answer:
114
Step-by-step explanation:
7x6=42
12x6=72
72+42=114
OR
12+7=19
19x6=114
Which scenario can be modeled by the linear function
y = -15x + 500?
A. The temperature on Jupiter is
15℉ and increases by 500℉ every day.
B. There is a population of 500 giraffes in Western Africa that decreases by 15 giraffes each year.
C. A carpet cleaning service charges $500 plus an additional $15 for every hour.
D. A membership fee for a movie streaming service is free, but each rental costs $15.
A poll showed that of the 108 people at the park, 1/9 of them had at least one pet. How many of the people at the park had at least one pet?
HeLpPpP PlZzZ
PLZ HELp I NEED HELP IM STUP ID AND DONT GET IT?????
Answer:
4:39 PM
Step-by-step explanation:
Working with time can be tricky sometimes
This is what you know
Start time + elapsed time = end time
Using this equation we know that
start time + 2.25 hours= 6:54 pm
This is something that we can solve by subtracting 2.25 hours from each side, however, we first need to convert the .25 hours into minutes. We can do this by multiplying .25*60 which gets us 15. This means that 2 hours and 15 minutes has elapsed
So it's really just a question of 2 hours and 15 minutes - 6:54
This is pretty simple and you should get
4:39 PM
If a baker's five helpers take five minutes to decorate five cookies, then how long do you think 100 helpers to decorate 100 cookies?
Simplify the expression by combining like terms. -4b + 8c + 12 - 8b - 2c + 6
Answer:
6c - 5b + 18
Step-by-step explanation:
1. -4b + 8c + 12 - b - 2c + 6
2.-4 b + 8c + 18 - b - 2C
Answer:
-12b+6c+18
Step-by-step explanation:
-4b+8c+12+-8b+-2c+6
-4b+-8b= -12b
8c+-2c= 6c
12+6= 18
-12b+6c+18
HELP ME THIS IS URGENT!!!!!!!!!!!!!!
Are 9/12 and 21/24 equivalent ratios? Explain.
1st divide
9/12= 0.75
21/24=0.875
therefore 21/24 is a greater fraction
what is 15 x (- 1/4) x (16/3)
a. 1
b. -1
c. 12
d. -20
Which of the following is true about the area and perimeter of rectangles? A Two rectangles with the same area must have the same perimeter. B Two rectangles with the same perimeter must have the same area. C Two rectangles with the same perimeter can have different areas. D No two rectangles can have the same area.
show that the (5,5),(5,0),and (0,0) are the vertices of an isosceles triangle.
An isosceles triangle has 2 sides that are equal.
I plotted these points. See attached screenshot.
The first side's distance is 5. You can just count those units along the x axis. (0,0) and (5,0) share the same y coordinate, so the difference in x coordinates is 5-0 = 5.
The next sides's distance is also 5. You can count that distance on the coordinate plane. (5,5) and (5,0) share the same x coordinate, so the difference in y coordinates is 5-0 = 5.
These two sides make a right triangle and are equal length. This is an isosceles right triangle.
William is a very busy professional DJ. Last year, he worked at 10-anniversary parties and 26 other events.
What is the probability that one of the events William worked on last year, selected at random, was an anniversary party?
Write your answer as a fraction or whole number.
Answer:
hello
Step-by-step explanation:
The required probability that William worked on last year was an anniversary party is 1/ 36.
As mentioned in the quesiton,
William is a very busy professional DJ. Last year, he worked at 10-anniversary parties and 26 other events.
Probability can be defined as the ratio of favorable outcomes to the total number of events.
Here,
Total sample space = 26 + 10 = 36
Number of favorable outcomes = 1
the probability that William worked on last year is was an anniversary party,
= Favorable outcome/sample space
= 1 / 36
Thus, the required probability that William worked last year is 1/ 36.
Learn more about probability here:
brainly.com/question/14290572
#SPJ2
Amy volunteers at an animal shelter. She worked 10 hours in March, 14 hours in April, 18 hours in May, and 22 hours in June.
If the pattern continues, how many hours will she work in December?
Answer:
46 hours
Step-by-step explanation:
the pattern is for the hours to increase by 4.
so,july=26
august=30
september=34
october=38
november=42
december=46
hope this helps
plz can i get brainliest:)
Use this list to find the mode: 53, 66, 68, 68, 75, 75, 75, 79, 82
Answer:
75.
Step-by-step explanation:
The mode is the most occurring number in a data set.
75 appears the most.
Answer:
the one that is being seen the most is 75
Step-by-step explanation:
all you have to do is count each number.
xy=22 as a proportion please :) It would mean a lot if I could get a fast response! Please explain in detail because I don't get what it is asking.