Answer:
GF = 11
GE = 28
DF = 28
HF = 14
DG = √(663)
Step-by-step explanation:
We have that for a rectangle;
1) The opposite sides are equal
Therefore, GF = DE = 11
2) The diagonals of a rectangle are equal and they bisect each other
Therefore;
HE = HF = GH = 14
∴ HF = 14
HE = 14
GE = GH + HE = 14 + 14 = 28
GE = 28
DF = GE = 28
DF = 28
3) The sides of a rectangle are perpendicular
Therefore, by Pythagoras's theorem, DG = √(DF² - GF²) = √(28² - 11²) = √663 ≈ 25.75
URGENT PLEASE HELP!!!! GIVING BRAINLIEST!! If you answer this correctly ill answer some of your questions you have posted! (33pts)
Answer:
9.38 in²Step-by-step explanation:
Area formula:
A = 1/2bhFind h (not drawn, it would be segment AD, where AD⊥CB):
h/4 = sin 42°h = 4 sin 42°h = 2.68 inFind area:
A = 1/2(7)(2.68)A = 9.38 in²Answer:
area of triangle =1/2×sin42×AC×BC
=1/2×sin42×4×7=18.74/2=9.36in²
Step-by-step explanation:
is area.
Pls help I’ve tried everything and nothing is helping me lol. 25 points
Answer: Is this the whole question if not i can edit later and answer once i get it all?
Help!!!!!!! please!!!! I will give brainliest, and 14 points!!!!! plz, no tiny links
Answer:
21 1/3
Step-by-step explanation:
we turn the fraction into an improper fraction...
8/3 x 8/3 = (8*8)/3= 64/3 = 21 1/3
The area would be about 7.10 ft or: 7 and 1/10 ft (i think im almost 100% sure
You know that the number of pepperoni pizzas is 4 less than twice the number of cheese pizzzas. You also know that the number of combo pizzas is 8 less than the number of cheese pizzas. Finally, you know that the total number of pizzas ordered is 110.
Answer: See explanation
Step-by-step explanation:
Let the cheese pizzas be denoted by x.
Since pepperoni pizzas is 4 less than twice the number of cheese pizzzas. This will be:
= (2 × x) - 4.
= 2x - 4
Since combo pizzas is 8 less than the number of cheese pizzas. This will be:
= x - 8
Then we add all the pizzas and equate to 110. This will be:
x + (x - 8) + (2x - 4) = 110
x + x - 8 + 2x - 4 = 110
4x - 12 = 110
4x = 110 + 12
4x = 122
x = 122/4
x = 30.5
Therefore, cheese pizza = 30.5
Combo pizza = x - 8 = 30.5 - 8 = 22.5
Pepperoni pizza = 2x - 4 = 2(30.5) - 4 = 57
1.
4 cm
5 cm
3 cm
A. What is the area of the figure above?
B. What is the volume of the figure above?
Answer:
90 cm^3
5*4*3=90
After Kwan spent $5 of the money he earned for mowing lawns, he had $15 left. Which equation represents how to find the amount Kwan had before spending the money?
Answer:
$20 was how much money he had before he spent any money.
Step-by-step explanation:
So, with any problem like this, all you have to do to figure out the answer is to add how much money is left and how much was spent. So, like this:
Amount left + Amount spent = Original Amount
Martina borrowed $600 from her uncle. She agreed to pay her uncle back in 9 months at an interest rate of 6% per year. How much interest will she pay and what amount will she repay her uncle?
dude the answer is 36828337
PLSS HELP!! WILL GIVE YOU BRAINLYEST!!
The net below shows the dimensions of Michelle's living room. She is going to put wallpaper on the living room walls.
What is the total surface area of the room?
The total surface area is 121.8yd^2 and the lateral surface area is 79.8yd^2.
121.8 - 79.8 = 42
can someone answer these questions pls pls pls pls
Answer:
what question?
Step-by-step explanation:
13. You buy a new monitor for your desktop computer for $295. The store charges 9% in sales tax. How much sales tax is added to the cost of your monitor?
14.What is the sale price of your monitor after the sales tax has been added to the original cost?
Suppose that an individual has a body fat percentage of 14.5% and weighs 171 pounds. How many pounds of his weight is made up of fat? Round your
answer to the nearest tenth.
pounds
Answer:
24.8 lbs
Step-by-step explanation:
14.5% is 0.145 in decimal and then you multiply it by the weight, and get the answer
0.145x171=24.8 lbs
A business made $1.5 million in sales this year, and estimates a 7% increase in sales for the coming year.
If the company allocates 10% of expected sales for promotional activities, how much would be allocated (set aside) for next year's promotion (advertising)?
Answer:
$160,500
Step-by-step explanation:
First, find the coming years sales
7% of 1,500,000 is 105000
105,000+1,500,00=1,605,000
1,605,000 is the next year's sales and we do that *0.1 to find the advertising.
1,605,000*0.1=160,500
So 160,500 will be set aside for advertising
Hope this helped!
Find the value of x in the angle pair.
Answer:
[tex]\huge\boxed{\tt{x = 50}}[/tex]
Step-by-step explanation:
3x + 30 = 180 (Angles on a straight line add up to 180 degrees)
Subtract 30 to both sides
3x = 180 - 30
3x = 150
Divide 3 to both sides
x = 150 / 3
x = 50
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Answer:
[tex]\Large \boxed{\sf x=50}[/tex]
Step-by-step explanation:
Angles on a straight line add up to 180°
[tex]30+3x=180[/tex]
Solve for x
[tex]3x=150[/tex]
[tex]x=50[/tex]
What is the area of this compound shape?
Answer:
139.36
Step-by-step explanation:
first you do 8*8 because that would be the area of the square part
8*8=64
then find the area of the semicircle
first the Radis of it is 4 because 8/2=4
A=3.14R^2/2
3.14*4^2/2
3.14*16/2
50.24/2
25.12
now because there are 3 of the semicircles you do
25.12*3
75.36
then you add the 64 from the square to get your answer
75.36+64
139.36
Tony is reseeding the front lawn. The lawn covers 2,500 square feet and grass seed is $15.98 for each 7-pound bag. Each pound of grass seed covers 150 square feet. How many feet does a 7lb bag cover?
Answer:
17
Step-by-step explanation:
NEED HELP, LIMITED TIME, HURRY
Which of the following digits is in the hundredths
place in the number above? 34,567.89
A.4
B.5
C.6
D.8
E.9
Answer:
9
Step-by-step explanation:
here you go!
Help,12345678901234567890
Answer:
Useful for this exercise:
Sum of interior angles of a triangle is 180°Straight angle is 180°Angle addition postulateFinding missing angles:
m∠1 = 180° - (57° + 72°) = 51°m∠2 = 90° - 72° = 18°m∠3 = 180° - 57° = 123°m∠4 = 180° - (18° + 123°) = 39°#1
Use angle sum property
m<1
180-72-5751°#2
Angles are complementary
m<2
90-7218°#3.
Angles are supplementary
m<3
180-57123°#4.
Use angle sum property
m<4
180-123-1839°Rewrite 2x+5y=3 using function notation
Answer:
Given f(x) = x2 + 3x – 1, find
a) f(1)
b) f(–1)
c) f(a)
d) f(x – 1)
Step-by-step explanation:
a) f(1) = (1)2 + 3(1) – 1 = 3
b) f(–1) = (–1)2 + 3(–1) – 1 = –3
c) f(a) = a2 + 3a – 1
d) f(x – 1) = (x – 1)2 + 3(x – 1) – 1
= x2 – 2x + 1 + 3x – 3 – 1 = x2 + x –3
I need X can someone help with this proportion
Answer:
x=9/2
Hope this helps :D
I the fifth grade at Lenape Elementary School there are 4/5 as many students who do not where glasses as those who do where glasses. If there are 60 students who do not where glasses, how many students are in the fifth grade?
Answer: 75 students
Step-by-step explanation:
we know that 1/5 of the students wear glasses and 4/5 do not. In this equation we know 4/5=60 so we divide 60 by 4 and the multiply that (15) by 5.
me ayudancon esto?plisssss
Answer:
5/7
Step-by-step explanation:
Multiply the numerator with the numerator and the denominator with the denominator. This makes the fraction 30/42. Simplify this to get 15/21. You can simplify it again to get 5/7.
Hope this helps
work out the size of angle A
Answer:
The measure of A is 93
Step-by-step explanation:
Here, we want to get the measure of angle A
we can start by getting the measure of angle C
Mathematically, we can use sine rule
It states that the ratio of the length of a side of a triangle and the sine of the angle it faces is constant
So to get C, we have the following;
9/sin 38 = 11/sin C
sin C = 11sin 38/9
sin C = 0.7525
C = sin^-1(0.7525)
C = 48.80
This is approximately 49
To get A,
we know that if we added the measure of interior angles of a triangle, the addition is 180 degrees
Thus, we have it that:
38 + 49 + A = 180
A = 180-38-49
A = 93
What is the 2nd term of the linear sequence
2, 5, 8, 11, 14....
Answer:
5
Step-by-step explanation
Answer: 5
Step-by-step explanation:
aₙ = a + (n - 1) d
n = the term of the sequence that you're looking for (2)
a = 1st term of sequence (2)
d = common difference (3)
a₂ = 2 + (2 - 1) 3
a₂ = 2 + (1 × 3)
a₂ = 2 + 3
a₂ = 5
It's also given btw but in case you wanted to find other terms of the sequence.
4x+2-(3x+2)=10 what is the answer ?
Answer:
x=10
Step-by-step explanation:
first, distribute the negative
4x+2-3x-2=10
combine like terms
x=10
Find the circumference of a circle with diameter, d = 9.06m. Give your answer rounded to 2 DP
Solve 2 s 2x + 4 < 10 for x.
0-1x<3
O 1
0-1
O 15x<3
2x+4<10
Subtract 4 from both sides to cancel it out.
2x+4<10
-4 -4
2x<6
Now divide 2 from both sides to cancel that out.
2x<6
/2 /2
x<3
So that's the answer.
---
hope it helps
Find the volume of the prism.
83 m
7 m
4 m
Multiply and rewrite the system: 16푥−10푦=10 −8푥−6푦=6 solving for elimination
Need help on algebra hw question.
==========================================================
Work Shown:
s = square side length
A = area of square = 9x^2+12x+4
A = s^2
A = (ax+b)^2
A = a^2*x^2 + 2abx + b^2 .... apply the FOIL rule
A = 9x^2 + 12x + 4
Equating corresponding terms, we see that,
a^2*x^2 = 9x^2 which shows that a^2 = 9 and that solves to a = 3, assuming 'a' is positive.2abx = 12x leads to 2ab = 12 or ab = 6. Using a = 3 we can find that b = 2.b^2 = 4 solves to b = 2 which matches with the previous value of b found.Using a = 3 and b = 2, the sum of the values is a+b = 3+2 = 5, so that's why the answer is choice C.
Side note: 9x^2 + 12x + 4 factors to (3x + 2)^2
Write 1 1/3 and 1 1/2 as improper fractions and multiply the improper fractions. What is the product
Answer:
1 1/3= 4/3 1 1/2= 3/2
4/3 x 3/2= 12/6 or 1/2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
to figure this out we need to convert the whole numbers into fractions with the same denominator as the fraction that is put with them
1 1/3 --> 3/3 + 1/3 = 4/3
1 1/2 --> 2/2 + 1/2 = 3/2
then we can take those values and multiply accordingly
4/3 * 3/2 = 2
(NOTE: if the problem allows it, you can convert the fractions into decimals by dividing the numerator by the denominator (3 / 2 = 1.50) but if it doesnt, then you can use this method in other problems)
hope this helps :)