Answer:
See Explanation
Step-by-step explanation:
The question is incomplete, as the triangles CAP and HIT are not given. The general explanation to solve sides of similar triangles is as follows;
[tex]\triangle CAP \sim \triangle HIT[/tex] implies that the following sides are similar:
[tex]CA \to HI[/tex]
[tex]AP \to IT[/tex]
[tex]PC \to TH[/tex]
Take for instance:
[tex]CA = y[/tex] [tex]HI = b[/tex]
[tex]AP = 20[/tex] [tex]IT = 38[/tex]
Then the solution is:
[tex]CA : HI = AP : IT[/tex]
Substitute values for CA, HI, AP and IT
[tex]y : b= 20 : 38[/tex]
Express as fraction
[tex]\frac{y }{ b}= \frac{20 }{ 38}[/tex]
Multiply both sides by b
[tex]y= \frac{20 }{ 38}*b[/tex]
Substitute 19 for b
[tex]y= \frac{20 }{ 38}*19[/tex]
[tex]y= \frac{20 }{ 2}[/tex]
[tex]y=10[/tex]
fine the total surface area left in terms of pie
Answer:
200π cm²
Step-by-step explanation:
Applying,
TSA = πrl+πr²
TSA = π(r²+rl)............. Equation 1
Where TSA = Total surface area, r = radius of the base, l = slight height of the cone
To get l we apply pythagoras theorem
From the diagram,
l² = 15²+8²
l² = 225+64
l² = 289
l = √289
l = 17 cm
Given: r = 8 cm
Substitute these values into equation 1
TSA = π(8²+17×8)
TSA = π(64+136)
TSA = π(200)
TSA = 200π cm²
Given the following equation x2 + 12x = x - 24 find the solutions.
(Show All Work)
16a) Set the equation equal to 0 by inverse operations.
16b) Place the equation in factored form.
16c) Set each factor equal to 0 and solve for x.
Answer:
OK , so I'll follow all your instructions:
x² + 12x - x + 24 = 0
x² + 11x + 24 = 0.......product = 24, sum= 11 & factors = 3 & 8
(x² + 3x ) (+ 8x + 24) =0
x ( x + 3) + 8 ( x + 3)=0
( x + 3 ) ( x + 8)=0
x +3 = 0 or x + 8= 0
x = -3. or x = -8
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John spends $94 to buy packages of cleaning supplies for a camp. He buys t packages of
towels, each package is $6 and contains 8 towels. He also buys s packages of soap; each
package is $4 and contains 10 bars of soap. John buys 20 packages of cleaning supplies
altogether. Write a system of equations to represent the packages of cleaning supplies John
buys
Answer:
B
Step-by-step explanation:
step
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it is given 5 and h + 1 are the roots of the quadratic equation x＾2 + (k - 1)x-5 = 0, where h and k are constants. Find the values of h and k.
Answer:
The values of h = -2 and 4
The value of k = -3
Step-by-step explanation:
Putting x=5 in the given equation,
x²+(k-1)x-5=0
or, 5²+(k-1)*5-5=0
or, 25+5k-5-5=0
or, 15+5k=0
or, 5k=-15
or, k=-3
putting the value of k and the other root (h+1) in the given equation,
(h+1)²+(-3-1)(h+1)-5=0
if you solve this, you'll get h = -2 and h = 4.
Answered by GAUTHMATH
Name the marked angle in 2 different ways.
∠HGF ∠EGF
Hope this helps! :)
The vertex of this parabola is at (-2,-3). When the y-value is -2, the x-value is -5. What is the coefficient of the squared term in the parabola's equation? 5 re (-2, -3)
Answer:
The coefficient of the squared term of the equation is 1/9.
Step-by-step explanation:
We are given that the vertex of the parabola is at (-2, -3). We also know that when the y-value is -2, the x-value is -5. Using this information we want to find the cofficient of the squared term in the parabola's equation.
Since we are given the vertex, we can use the vertex form:
[tex]\displaystyle y=a(x-h)^2+k[/tex]
Where a is the leading coefficient and (h, k) is the vertex.
Since the vertex is (-2, -3), h = -2 and k = -3:
[tex]\displaystyle y=a(x-(-2))^2+(-3)[/tex]
Simplify:
[tex]y=a(x+2)^2-3[/tex]
We are also given that y = -2 when x = -5. Substitute:
[tex](-2)=a(-5+2)^2-3[/tex]
Solve for a. Simplify:
[tex]\displaystyle \begin{aligned} -2&=a(-3)^2-3\\ 1&=9a \\a&=\frac{1}{9}\end{aligned}[/tex]
Therefore, our full vertex equation is:
[tex]\displaystyle y=\frac{1}{9}(x+2)^2-3[/tex]
We can expand:
[tex]\displaystyle y=\frac{1}{9}(x^2+4x+4)-3[/tex]
Simplify:
[tex]\displaystyle y=\frac{1}{9}x^2+\frac{4}{9}x-\frac{23}{9}[/tex]
The coefficient of the squared term of the equation is 1/9.
"HOT PIZZA" is offering a 20% discount on all its pizzas.
Sam orders a pizza for the reduced price of £5.60
What was the original price of the pizza?
Answer:
£7
Step-by-step explanation:
x - .2x = £5.60
.8(x) = £5.6
x= £5.6/.8
help pls! i cant figure it out.
[tex]\longrightarrow{\green{x\:=\:5}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
➝[tex]\: \frac{3x}{5} = \frac{x + 1}{2} [/tex]
➝[tex]\:2 \times 3x = 5(x + 1)[/tex]
➝[tex]\:6x = 5x + 5[/tex]
➝[tex]\:6x - 5x = 5[/tex]
➝[tex]\:x = 5[/tex]
To verify:-✒[tex] \:\frac{3 \times 5}{5} = \frac{5 + 1}{2} [/tex]
✒[tex]\: \frac{15}{5} = \frac{6}{2} [/tex]
✒[tex]\:3 = 3[/tex]
✒[tex]\:L. H. S. =R. H. S. [/tex]
Hence verified.
[tex]\bold{ \green{ \star{ \orange{Mystique35☂}}}}⋆[/tex]
Anyone plz plz answer
Answer:
[tex]\frac{28}{3}[/tex]
Step-by-step explanation:
[tex]\frac{8}{5} * \frac{10}{3} * \frac{7}{4}[/tex]
[tex]\frac{80}{15} * \frac{7}{4}[/tex]
[tex]\frac{560}{60}[/tex]
[tex]\frac{140}{15}\\\\= \frac{28}{3}[/tex]
→ (8/5 × 10/3) × 7/4
→ 80/15 × 7/4
→ 560/60
→ 140/15
→ 28/3 cm³
Every hour American throw away 1.2 million plastic bottles. how many plastic bottles are thrown away in one day??
need help
Answer:
the answer is 28.8 billion plastic bottles
Answer:
28.8 million
Step-by-step explanation:
24 hrs in one day - 1.2 M*24=28.8 M
the ratio of the weight of wood to the weight of raw materials used by a factory is 16 : 56. How many tons of wood wouod the factory use if it were to use 7 tons of raw materials?
Hurry please!!!
Answer:
2 Tons Wood
Step-by-step explanation:
According To Question,
Given,the ratio of the weight of wood to the weight of raw materials used by a factory is 16 : 56 or 2 : 7 .
And, Factory were to use 7 tons of raw materials .
Thus, if 56 ⇒⇒ 7Tons of Raw Material
So,
16⇒⇒2 Tons of Wood Material .
What is the slope of the line represented by the equation y = -1/2x + 1/4?
The circumference of a circle is 16Pi ft.
The radius is ____ ft.
Answer:
radius is 8 ft
Step-by-step explanation:
circumference formula is 2pi r
so if the circumference is 16 pi, we divide it by 2 to get 8 pi and divide it by pi to get 8.
Answer:
8 ft
Step-by-step explanation:
The circumference is given by
C = 2 * pi *r
16 pi = 2 * pi *r
Divide each side by 2 pi
16 pi / 2 pi = 2 pi r / 2 pi
8 = r
Please help I’ll give brainliest
Answer:
A.
Step-by-step explanation:
If you put 700 into a savings account that's earns 1% interest compound monthly how much will you have in 5 years
Answer:
In 5 years I will have $ 1,151.71.
Step-by-step explanation:
To determine, if I put 700 into a savings account that's earns 1% interest compound monthly, how much will I have in 5 years, the following calculation must be performed:
700 x (1 + 0.01 / 12) ^ 12x5 = X
700 x (1 + 0.008333) ^ 60 = X
700 x 1.64530 = X
1,151.71 = X
Therefore, in 5 years I will have $ 1,151.71.
Given that X = - 2 and y = 4 , Evaluate the expression. 5y – 4x
Answer: 28
Step-by-step explanation: 5(4)-4(-2) which is 20+8 and that is 28.
Two sides of an isosceles triangle are unknown. We can say both are X ft
long each. The third side is 9 ft long. Perimeter of the triangle is 33ft. What
is the length of each missing side?
A. 10
B. 11
C. 12
D. 9
Answer:
c.12
Step-by-step explanation:
you do 33-9 which gets you 24. You then divide that by 2 so you get 12.
Which graph shows the solution to the equation 4x-4=4?
Answer:
A
Step-by-step explanation:
y = 4x - 4 is a line with y-intercept -4 and slope 1. Both graphs A and C show that line in blue.
y = 4 is a horizontal line through y = 4. Graph A shows that line.
Answer: A
Saira is going to ride her bike to her friend's house that is 2.3 miles away. Then she is going to ride her bike another 3.4 miles to Starbucks before heading home, which is another 3.8 miles. She noticed on the map that her route is in the shape of a triangle. How far will Abby ride her bike altogether?
Answer:
9.5 miles
Step-by-step explanation:
Since her route is in the shape of a triangle, total distance travelled can be determined by calculating the perimeter of a triangle.
A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees
The perimeter of a triangle = sum of the side lengths
The total distance travelled can be determined by adding the miles she rode
2.3 + 3.4 + 3.8 = 9.5 miles
c. A 40-foot ladder reaches 38 feet up the side of a house. How far from the base of the
house is the foot of the ladder?
Answer: 12.48
Step-by-step explanation:
38x38+bxb=40x40
1444+b=1600
1600-1444=156
[tex]\sqrt156[/tex]=12.48
The base of the house is 12.48 foot far from the foot of the ladder.
What is the Pythagoras theorem?The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.
|AC|^2 = |AB|^2 + |BC|^2
It is given that A 40-foot ladder reaches 38 feet up the side of a house.
We need to find that How far from the base of the house is the foot of the ladder.
Using Pythagoras theorem, we get;
[tex]38^2 + b^2 =40^2\\\\1444 + b^2 = 1600\\ \\b^2 = 1600 - 1444 \\\\b^2= 156\\\\b = 12.48[/tex]
Therefore, the base of the house is 12.48 foot far from the foot of the ladder.
Learn more about Pythagoras theorem;
https://brainly.com/question/343682
#SPJ2
Find the area of each shape, please help and I will give a lot points
Answer:
15. Area of parallelogram = bh
b = 9m
h = 4m
a = 9*4 = 36m^2
You can also use the rectangle property here.
a = l*b
l = 9
b = 6
a = 9*6 = 54 m^2
Though I would prefer the first one better.
16. Area of triangle = 1/2*bh
b = 17m
h = 3
a = 17*3/2 = 51/2 = 25.5m^2
18. Area of a trapezium = a+b/2*h (a and b are two parallel sides and h the height)
a = 15
b = 7
h = 15
a = 15+7/2*15 = 22/2*15 = 11*15 = 165m^2
19. Area of triangle = 1/2*bh
b = 24
h = 7
a = 24*7/2 = 168/2 = 84
Hope u understood
Please mark as brainliest
Thank You
HELPPPPPPP PLEASEEEE
Answer:
19: x=5
20: x=13
21: y= 11
x= 11
Step-by-step explanation:
State the domain and range of the function graphed below!!!!
The domain is the span of the x-values, and the range is the span of the y-values. In each, we are looking for the smallest and largest values.
Domain: x starts at -7, and goes to infinity (we cannot see an end)
(-7, infinity)
Range: y starts at negative infinity (we cannot see where it would start), and goes to 3
(negative infinity, 3)
Hope this helps!
Answer:
the domain starts at -7 ... only one answer has the domain starting at -7
domain(-7, infinity)
Step-by-step explanation:
the domain starts at -7 ... only one answer has the domain starting at -7
How many outfits are possible if you can choose one from each of four shirts, three pairs of pants, two pairs of shoes, and two jackets?
Answer:
40 outfits possible
Step-by-step explanation:
4 shirts * 3 pairs of pants * 2 paird of shoes * 2 jackets = 40 outfits possible
\sqrt(125)-\sqrt(45)+\sqrt(5)
ans=3\sqrt(5)
Answer:
what?
Step-by-step explanation:
........................
Fragrant Fields Greenhouse sells rose bushes for $19.90 each. Last weekend, they made $477.60 on rose bushes. How many rose bushes did they sell?
Answer:
24 brushes
Step-by-step explanation:
Given data
cost per brush= $19.90
Amount made =$477.60
hence the number of brushes sold is given as
Number of brushes= 477.60/19.90
Number of brushes= 477.60/19.90
Number of brushes= 24 brushes
I NEED THIS NOW PLZZZ NO KINKS IT ILL REPORT
Answer:
Letter C
Step-by-step explanation:
Given:
[tex]24x-17x[/tex] ≥ [tex]13x+15[/tex]
Combine like terms
[tex]7x[/tex] ≥ [tex]13x+15[/tex]
Subtract both sides by 13x
[tex]-6x[/tex] ≥ [tex]15[/tex]
DIvide -6 from both sides
[tex]x[/tex] ≥ [tex]-2.5[/tex]
Letter C is the answer because it is at -2.5, the arrow is facing to the right, and the dot or circle is closed to indicate that it is greater than "or equal to".
Hope this helps
Factor completely. 16x^6-81=
Answer:
(4x^3 - 9)(4x^3 + 9)
Step-by-step explanation:
16x^6 - 81
write this in the form of a^2 - b^2
(4x^3)^2 - (9)^2
since a^2 - b^2 = (a + b)(a - b) . Write,
(4x^3 - 9)(4x^3 + 9)
In the diagram below, DE is parallel to XY. What is the value of y?
8
100
ya
O A. 120
B. 100
o
C. 80
o
D. 60
PREVIOUS
Answer:
100 is answer for math picture
Answer: 80
Step-by-step explanation:
180-100 = 80, y=80