perpendicular=p=8cm
Hypontenuse =h =10cm
We need to find base=bAccording to Pythagoras thereon
[tex]{\boxed{\sf b^2=h^2-p^2}}[/tex]
Substitutethe values[tex]\longrightarrow[/tex][tex]\sf b^2=10^2-p^2[/tex]
[tex]\longrightarrow[/tex][tex]\sf b={\sqrt {10^2-8^2}}[/tex]
[tex]\longrightarrow[/tex][tex]\sf b={\sqrt{100-64}}[/tex]
[tex]\longrightarrow[/tex][tex]\bf b={\sqrt {36}}[/tex]
[tex]\longrightarrow[/tex][tex]\sf b=6[/tex]
[tex]\therefore[/tex][tex]\overline{BC}=6cm[/tex]
BD=BC+CD
[tex]\longrightarrow[/tex][tex]BD=9+6[/tex]
[tex]\longrightarrow[/tex][tex]BD=15cm [/tex]
Now in [tex]\triangle ABD [/tex]Perpendicular=p=8cm
Base =b=15cm
We need to find Hypontenuse =AD(x)According to Pythagoras thereon
[tex]{\boxed {\sf h^2=p^2+b^2}}[/tex]
Substitute the values[tex]\longrightarrow[/tex][tex]\sf h^2=8^2+15^2 [/tex]
[tex]\longrightarrow[/tex][tex]\sf h={\sqrt {8^2+15^2}}[/tex]
[tex]\longrightarrow[/tex][tex]\sf h={\sqrt {64+225}}[/tex]
[tex]\longrightarrow[/tex][tex]\sf h={\sqrt {289}}[/tex]
[tex]\longrightarrow[/tex][tex]\sf h=17cm [/tex]
[tex]\therefore[/tex][tex]{\underline{\boxed{\bf x=17cm}}}[/tex]
Henry can write 5 pages of his novel in 3 hours. At this rate how many pages can Henry right in 8 hours?
Answer:
Henry can write 13 pages in 8 hours.
Step-by-step explanation:
Find the area of a compound shape
Can you please explain
Answer:
[tex]A=292.53~m^2[/tex]
Step-by-step explanation:
Area of a Compound Shape
The shape shown in the image is made of two shapes: Half a circle of radius 8 m and a triangle of base 24 m and height 16 m.
The area of a circle of radius r is:
[tex]A_c = \pi r^2[/tex]
The area of a triangle of base b and height h is:
[tex]\displaystyle A_t=\frac{b.h}{2}[/tex]
Calculate the area of the circle:
[tex]A_c = \pi 8^2[/tex]
[tex]A_c = 64\pi[/tex]
Area of half the circle:
[tex]A_c/2 = 32\pi~m^2[/tex]
Area of the triangle:
[tex]\displaystyle A_t=\frac{24\cdot 16}{2}[/tex]
[tex]A_t=192~m^2[/tex]
The area of the shaded shape is:
[tex]A=32\pi~m^2+192~m^2[/tex]
Substituting the value of pi:
[tex]\mathbf{A=292.53~m^2}[/tex]
⦁ Explain how geologists determine the relative age of sedimentary rock layers in the Grand Canyon using Steno's Principle of Superposition? (5 points. Answer in at least 2 complete sentences.)
⦁ Explain why sedimentary rock layers of the North and South Rim(side) of the Grand Canyon are the same age, using Steno’s Principle of Lateral Continuity. (5 points. Answer in at least 2 complete sentences)
Answer:
go on PH release sum stress
Step-by-step explanation:
What is the first step in solving this equation? 3(2x + 6) – 4x = 2(5x – 2) + 6 Use the subtraction property of equality to subtract 6 from both sides. Use the addition property of equality to add 4x to both sides. Combine the like terms on each side of the equation. Use the distributive property on each side of the equation.
Answer:
The first step is solving what is inside of the parenthesisStep-by-step explanation:
Answer:
Use the distributive property
Step-by-step explanation:
bc you have to follow PEMDAS
please help i worked on this for a long time and i cant figure it out.
I am NOT in collage btw
Answer:
Do you need to be in college? I´m pretty sure it does not affect anything uwu
Step-by-step explanation:
helpppoooo meeeeee :)
Work Shown:
5^6 = 5^(3+3)
5^6 = 5^3*5^3
5^6 = 125*125
In the second step, I used the rule a^(b+c) = a^b*a^c
Brenda has a planter box in her backyard that measures 3 2/3 feet by 4 1/8 that measures 3 2/3 feet by 4 1/8 by 2 1/2 feet. What is the volume of brenda's planter box?
Answer:
Step-by-step explanation:
Sorry if I’m wrong-Lorenny
Answer:
37 13/16
Step-by-step explanation:
Calculating the Sales Tax at Store B Store A Store B How much sales tax will be charged at Store B? Computer Repair $1,200 $1,350 Sales Tax 6% 7% Gratuity 15% 15% Shipping Free 2% of total price
I'll mark brainleiest whoever answers.
Answer:it’s 94.50
Step-by-step explanation: 7% of 1350 is 94.50 on edge
I WILL GIVE BRAINLIES!!!
Rewrite 15x + 3y = 27 in slope-intercept form. Give the slope and y-intercept.
y =
m =
b =
Rewrite 15x − 3y = 12 in slope-intercept form. Give the slope and y-intercept.
y =
m =
b =
Rewrite 2y = 16 in slope-intercept form. Give the slope and y-intercept.
y =
m =
b =
Answer:
Would you want us to do all of it?
Step-by-step explanation:
Answer:
1) 15x + 3y = 27 in slope-intercept form.
→y=-5x+9
→m =-5
→b =(0,9)
2) 15x − 3y = 12 in slope-intercept form.
→y =5x-4
→m =5
→b =(0,-4)
3) 2y = 16 in slope-intercept form.
→y =8
→m =0
→b =(0,8)
which pairs of ratios could form a proportion 6/9, 10/5
Answer:
for 6/9, 2/3 and 12/18 would work. For 10/5, 2/1 and 4/2 would work
Write the slope intercept form of the equation of each line plz
Answer: B. y = -13/6x + 8
Step-by-step explanation:
13x + 6y = 48 subtract 13x from both sides
-13x -13x
6y = -13x + 48 Divide both sides by 6
y = -13/6x + 8
Answer:
The answer is B. y = -13/6x+8
Step-by-step explanation:
The bookcase has 4 shelves. Each shelf has 47 books on it. How many books are in the bookcase?
Answer:
188
Step-by-step explanation:
4 x 47=188
Angle x is (2n + 12) and angle y is (3n + 18). Find the measure of angle x.
Answer: X and Y are supplementary angles. The sum of the supplementary angles is 180.
So, X + Y = 180
180 = 2n+12 + 3n + 18
180 = 5n + 30
5n = 150
n = 30
X = 2n+12
X = 2(30) + 12
X = 72
Y = 3n + 18
Y = 3(30) + 18
Y = 108
Step-by-step explanation:
A golf association requires that golf balls have a diameter that is inches. To determine if golf balls conform to the standard, a random sample of golf balls was selected. Their diameters are shown in the accompanying data table. Do the golf balls conform to the standards? Use the level of significance.
Answer:
Following are the solution to the given question:
Step-by-step explanation:
The data provided
Statistics descriptive: data
Sum of total
Variable Count Mean StDev Variance Sum Squares
Data [tex]1\ \ 12 \ \ 1.6810 \ \ 0.00429 \ \ 0.00002 \ \ 20.1720 \ \ 33.9093[/tex]
Null hypothesis: [tex]H_o: \mu= 1.68[/tex]
The alternative hypothesis: [tex]H_1 : \mu \neq 1.68[/tex] (The tailed two test)
Each runner is carrying an 8 ounce bottle of water, a 2.1 ounce energy bar, and a 3 ounce energy drink. Write an expression in simplest form that represents the weight carried by y runners. Interpret the expression.
Answer:
13.1y
Step-by-step explanation:
;-; I'm sorry if I'm wrong
7th grade math need help please will give brainliest.
Answer:
C
Step-by-step explanation:
When you add all rentals together you should get 125, after this you see what the problem is asking, in our case, the probability of not renting a drama, as said, our total is 125. When we look at how many dramas have been rented you get 25, simply, you divide 125 by 25, therefore you should get 5, so now, we know that there is a 1/5 possibility for getting it but because its not 5/5.
Thus, there should be 4/5 which is the probability of it not getting chosen.
Bri opened a lemonade stand on her street. It costs her $11.00 to buy the supplies each day, and she sells lemonade for $2.00 a cup. If she wants to make at least $75.00 in profits (sales - expenses) each day, what is the minimum number of cups of lemonade Bri needs to sell? Input your answer as a whole number.
Answer:
Bri would need to sell a minimum of 43 cups of lemonade.
Step-by-step explanation:
Calculate the slope of the line through the two points given:
a. (-3, 5) and (3, -4)
b. Without graphing the line, is the line slanted up or slanted down (from left to right)? How do
you know?
Shana bought 6.2 pounds of pecans and paid $56.00. About how much per pound did the pecans cost?
$5.00
$6.00
$8.00
$10.00
Answer:
The correct answer is D
Every female rabbit has 5 baby rabbits. What is the constant of proportionality for the ratio of baby rabbits to female rabbits? one-fourth 5 4 one-fifth
Answer:
The constant of proportionality is for every i female rabbit there is 5 baby rabbits so the constant of proportionality is 1:5
Step-by-step explanation:
Answer:It is 1:5
Step-by-step explanation: One mother gives 5 bunnies, so you would multiply both. 1 mother, 5 bunnies, 1:5. Glad to help!
True or False? 6 ab and 4 ba are like terms
On a map 2 inches represents 60 miles. If a line between two cities measures 9 inches, how many miles apart are they?
Answer:
270 miles
Step-by-step explanation:
because MATH
If h(x) = x – 7 and g(x) = x2, which expression is equivalent to (g circle h) (5)? (5 – 7)2 (5)2 – 7 (5)2(5 – 7) (5 – 7)x2
Answer:
2(5-7)
Step-by-step explanation:
Answer:
5 – 7)2*
I took the test
Step-by-step explanation:
Explain how you get 608,149 to the nearest thousand place
Answer:
Step-by-step explanation:
608,000
you go to thousands look next number left and round up or down and the rest after the thousands becomes zeros
Due to conservation efforts, the panda bear has been removed from the endangered species list. There are now 15,000 in the world, and the population is expected to grow by 10% yearly. Write an equation that models this scenario.
1. y = 15,000(1.10)x
2. y = 15,000(0.90)x
3. y = 15,000(0.10)x
4. y = 15,000(1.90)x
Answer:1
Step-by-step explanation:
you have to put the 1 infornt of the .10 if youre adding 10% more
Answer:
y = 15,000(1.10)x
Step-by-step explanation:
The equation y = 15,000(1.10)x represents the population of panda bears over time. In this equation, "y" represents the population, "15,000" represents the initial population of panda bears, and "1.10" represents the growth rate of 10% per year. The variable "x" represents the number of years.
By raising the growth rate of 1.10 to the power of "x" (the number of years), we account for the compounding effect of the growth rate over time. This equation allows us to calculate the population of panda bears after a specific number of years by multiplying the initial population (15,000) by the growth rate (1.10) raised to the power of the number of years.
For example, if we wanted to find the population after 5 years, we would substitute "x" with 5 in the equation:
y = 15,000(1.10)^5
This would give us the population of panda bears after 5 years, taking into account the annual growth rate of 10%.
Multiply. Write your answer as a fraction in simplest form. 5/4×9/10
Answer:
5/4×9/10
5*9 = 45 (divide by least common denominator) = 9
4*10 40 (divide by least common denominator) 8
Step-by-step explanation:
The least common denominator is 5
04.04 match the term with the definition
i need the terms and definitions to answer this-
Serial numbers for a product are to be made using 2 letters followed by 2 digits. The letters are to be taken from the first 6 letters of the alphabet, with no repeats. The digits are taken from the10 digits , with no repeats. How many serial numbers can be generated?
Answer:
0
Step-by-step explanation:
0
Choose the product. -7p 3(4p 2 + 3p - 1)
Answer:
14p -3
Step-by-step explanation:
-7p 3(4p 2+3p - 1)
3x4= 12p
3x3=9p
12+9= 21
21-7=14p
3x2=6
3x-3=-9
-9 +6= -3
= 14p -3
hope this helps :)
On your first day in business, 126 people come to eat. They spend about $52 each. About how much money did you earn on your first day?
Answer:
You erned about $6,552
Step-by-step explanation: