Step-by-step explanation:
o2+a2=h2
100} h^{2}=(10ft)^{2} +(17ft)^{2}
h2=100ft2+289ft2
h=389ft2−−−−−√
→19.7ft
this is an example on how to do it
The value of g in the given right triangle is 13.20 units.
What is the Pythagoras theorem?Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named Perpendicular, Base and Hypotenuse.
Given that, a right triangle with leg lengths f and g, and hypotenuse h, if f = 7 cm and h = 11.2 cm,
We need to find the value of g the hypotenuse,
So, here using the Pythagoras theorem,
f²+h² = g²
Therefore,
11.2²+7² = g²
g² = 174.44
g = 13.20
Hence, the value of g in the given right triangle is 13.20 units.
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If the image below is dilated with a scale factor of 2, what is the perimeter of the dilated image?
Answer:
the answer is 24
Step-by-step explanation:
i got it correct on my test
HEEEELLLLLLPPPPPPPPP!!!!! I can't find the answer.... I DON'T KNOW HOW TO DO THIS!!! :(
Answer:
-20.6
Step-by-step explanation:
Answer:
I got -8
Step-by-step explanation:
you do the bottom first -10-7 which is -17
and then do 136/ -17 and you get -8
please help me tooday
Answer:
its 3
Step-by-step explanation:
How to find a tangent ratio
Answer:
The tangent ratio is the value received when the length of the side opposite of angle theta is divided by the length of the side adjacent to angle theta. It is very commonly abbreviated as tan.
The exponential function h, whose graph is given below, can be written as h(x) = a•b^x
Complete the equation for h(x).
Answer:
1,6
Step-by-step explanation:
1,6 thats how
In AIJK, the measure of ZK=90°, the measure of ZI=46°, and IJ = 9.2 feet. Find the
length of JK to the nearest tenth of a foot.
J
9.2
X
46
K
Answer: 6.6
Step-by-step explanation:
LMN is a right-angle triangle. Angle NLM=90. PQ is parallel to LM. The area of triangle PNQ is 8cm^2. The area of triangle LPQ is 16cm^2. Work out the area of triangle
Answer:
The area of LQM is [tex]48cm^2[/tex]
Step-by-step explanation:
Given
Area of PNQ = 8
Area of LPQ = 16
See attachment for triangles
The area of PNQ is calculated as:
[tex]Area = \frac{1}{2} * PQ * PN[/tex]
Substitute 8 for Area
[tex]8 = \frac{1}{2} * PQ * PN[/tex]
[tex]PQ * PN = 16[/tex]
The area of LPQ is calculated as:
[tex]Area = \frac{1}{2} * PQ * LP[/tex]
Substitute 16 for Area
[tex]16= \frac{1}{2} * PQ * LP[/tex]
From the attachment:
[tex]PN + LP =LN[/tex]
Make LP the subject
[tex]LP = LN -PN[/tex]
So:
[tex]16= \frac{1}{2} * PQ * (LN -PN)[/tex]
We have:
[tex]16= \frac{1}{2} * PQ * (LN -PN)[/tex] and [tex]PQ * PN = 16[/tex]
Equate both expressions:
[tex]\frac{1}{2} * PQ *(LN - PN) = PQ * PN[/tex]
Divide both sides by PQ
[tex]\frac{1}{2} (LN - PN) = PN[/tex]
Multiply both sides by 2
[tex]LN - PN = 2PN[/tex]
[tex]LN= 3PN[/tex]
Since PNQ is similar to LNM, the following equivalent ratios exist:
[tex]\frac{LM}{PQ} = \frac{LN}{PN}[/tex]
Substitute [tex]LN= 3PN[/tex]
[tex]\frac{LM}{PQ} = \frac{3PN}{PN}[/tex]
[tex]\frac{LM}{PQ} = 3[/tex]
[tex]LM = 3PQ[/tex]
Area of LQM is:
[tex]Area = \frac{1}{2} * LM * LP[/tex]
This gives:
[tex]Area = \frac{1}{2} * 3PQ * LP[/tex]
[tex]Area = 3 *\frac{1}{2} *PQ * LP[/tex]
Recall that:
[tex]16= \frac{1}{2} * PQ * LP[/tex]
So:
[tex]Area = 3 *16[/tex]
[tex]Area = 48cm^2[/tex]
Please please help help please please help me please ASAP and NO LINKS
Answer:
Q1: (-4,0)
Q2: 3
Step-by-step explanation:
Which choice is equal to the expression shown?
6a + 3a + 8b+ a - 56
A.
зь + ба
B.
3b + 9a
C.
3b + 10a
D.
13b + 9a
Answer: C
Step-by-step explanation:
Drag and drop the appropriate parts of an inequality into the boxes to form a complete inequality that
represents the description.
Max has less than 7 carrots (number of carrots Max has = c).
The inequality that describes this situation is
Answer:
c < 7.
Step-by-step explanation:
Number of carrots c is less than 7.
Please help me with the questions please ASAP
Answer:
x = 9/2 or 4.5
Step-by-step explanation:
In order to solve this problem, you first need to identify whether or not the two triangles formed in the image are similar; you can tell that they are similar by the AAA property because they share a vertex, and the other two angles are congruent because of the Corresponding Angles Theorem. Now that you know the triangles are similar, you need to identify the corresponding sides:
x + 6 corresponds to x
21 corresponds to 9 (21 because 30 - 9 = 21)
You can find the scale factor by dividing 21 by 9:
21 ÷ 9 = 7/3
Now that you know the scale factor, you can write and solve an equation:
7/3x = x + 6 (given)
4/3x = 6 (subtract x from both sides)
x = 9/2 (multiply both sides by 3/4)
HELPPP MEE PLSSS
Find m∠2
Answer:
Step-by-step explanation:
180-68=112
1= 68
2=112
Find the value of x
Answer:
x=23
Step-by-step explanation:
set them equal to each other since its not same sides
these are alternative exterior
8x-77=3x=38
5x=115
x=23
Answer:
23
Step-by-step explanation:
8x-77=3x+38 > 8x=3x+115 > 5x=115 > x=23
what is the value of x?
Answer:
Step-by-step explanation:
x^2=a^2+b^2
x^2=6^2+8^2
x^2=36+64
x^2=100
x=10
Which of the following sets of side lengths could produce a triangle? Select
all that apply.
13 mm, 5 mm, and 6 mm
2 cm, 7 cm, and 6 cm
2 m, 5 m, and 7 m
6 ft, 6 ft, and 12 ft
The sets of side lengths that can produce a triangle are
2 cm, 7 cm, and 6 cm2 m, 5 m, and 7 m6 ft, 6 ft, and 12 ftThe triangle inequality theorem states that the sum of any two sides of a triangle is greater than or equal to the third side.
That is, in a given triangle of sides a, b and c,
a + b ≥ c
Analysing the sets of the side lengths given,
In triangle 2 cm, 7 cm, and 6 cm,
2 + 6 = 8,
Therefore 8cm which is greater than the third side being 7cm makes this side lengths possible to produce a triangle.
In triangle 2 m, 5 m, and 7 m,
2 + 5 = 7
Addition of both sides of the triangle is equal to the third side being 7m.
In triangle 6 ft, 6 ft, and 12 ft,
6 + 6 = 12
Addition of both sides of the triangle is equal to the third side being 12ft
Therefore the sets of side lengths could produce a triangle are
2 cm, 7 cm, and 6 cm
2 m, 5 m, and 7 m
6 ft, 6 ft, and 12 ft
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which of the following are factor pairs of 96?
Answer:
I don't know exactly what the question is asking but below is a list of the factor pairs of 96
Step-by-step explanation:
1 x 96 = 96
2 x 48 = 96
3 x 32 = 96
4 x 24 = 96
6 x 16 = 96
8 x 12 = 96
Good luck! <3
Answer:
Factors of 96 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Step-by-step explanation:
Points y,B, and Q are shown on the coordinate plain. If Y,B and Q are the vertices of a triangle what is the perimeter to the nearest tenth of a unit of triangle YBQ
Answer: sqrt(61)
Step-by-step explanation:
For parts a) and c1), refer to the attached picture.
For part b), the distance formula is:
d = sqrt[(x2 - x1)^2 + (y2 - y1)^2]
Using x1 = -1, y1 = -4, x2 = -6, y2 = 2:
d = sqrt[(-6 + 1)^2 + (2 + 4)^2] = sqrt[25 + 36] = sqrt(61)
Part c2) Another way to find the length of AB without using the distance formula is by drawing the line and measuring it according to the scale.
Part d) This will only work as long as the graph paper is accurately made, and the scale computation is done correctly. However, this will only give approximations, and will not give an exact answer when radicals are involved.
5 1/3 is what percent
Answer:
5.33%
Step-by-step explanation:
Answer:
5.33%
if not it cpuod be 5.32% most likely to be the forst one
Step-by-step explanation:
hope this helps!
have a good day :)
Find the measure of ∠C. b=110 d=30 m∠C= °
Answer:
40°
Step-by-step explanation:
If your are reffering to a triangle the answer would be 40 since the three angles of a triangle must always add up to 180° so you would add b+d (110+30) resulting in 140 which you would then subtract from 180 getting you 40°
(5y+1)²-4(y-1)² how to solve it
Answer:
[tex](5y + 1)^{2} - (2(y - 1))^{2} [/tex]
Step-by-step explanation:
1) Rewrite it in the form a² - b², where a = 5y + 1 and b = 2(y - 1 ).
[tex](5y + 1) ^{2} - (2(y - 1)) ^{2} [/tex]
2) Use multiplication Distributive Property: (xy)^a = x^a y^a.
[tex](5y + 1)^{2} - {2}^{2} (y - 1 {)}^{2} [/tex]
3) Simplify 2² to 4.
[tex](5y + 1 {)}^{2} - 4(y - 1 {)}^{2} [/tex]
4) Rewrite it in the form a² - b², where a = 5y + 1 and b = 2(y-1).
[tex](5y + 1 {)}^{2} - (2(y - 1))^{2} [/tex]
Therefor, the answer is ( 5y + 1 )² - (2( y - 1 ))².
In a class there are 15 students. 8 of them like playing soccer, 6 of them like swimming, and 2 like both and swimming and playing soccer. How many students do not like playing soccer and do not like swimming?
Answer:
6+8-2=12, 15-12=3 answer=3
He has hired you as their new production manager. Your job is to look at five different solid figures and determine which would best suit the needs of the company for packaging the candy. You will choose one of the five options shown below. The candy is animal gummies. The package must hold between 60 and 70 cubic inches (roughly 4-5 cups of space). The cost of the plastic for the packaging is $0.003 per square inch
Five more than twice a number is less than one more six times the number. Do write down an equation or a number?
What is the area?
6 cm
4 cm
4 cm
:)
Answer:
96 cm
Step-by-step explanation:
Multiply 6x4x4=96
I need help please!!
2x + 3y = 16
3x + 4y = 22
System of Equations
Answer:
x=2, y=4. (2, 4).
Step-by-step explanation:
2x+3y=16
3x+4y=22
---------------
3(2x+3y)=3(16)
-2(3x+4y)=-2(22)
--------------------------
6x+9y=48
-6x-8y=-44
------------------
y=4
2x+3(4)=16
2x+12=16
2x=16-12
2x=4
x=4/2
x=2
A set of 25 cards are shown.
what is the probability of choosing a card with a sheep on it?
Answer:
probability of choosing a card with a sheep on it will be 12.5 out of 25
Hope it helps
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Thank you
All corners shown are right angles. 2 in. 3 in. 3 in. 2 in. 4 in. 4 in. 2 in. 10 in What is the perimeter of the shape? O A. 28 in. B. 30 in. OC C. 38 in. O D. 42 in.
Answer: 30
Step-by-step explanation:
What is the value of 703 x 85? Show all your work.
Answer:
59755
Step-by-step explanation:
basically you just do 703 x 85 on an calculator and thats the answer
what is the volume of the rectangular pyramid shown
Answer:
80 cm^3 = V
Step-by-step explanation:
The volume of a rectangular pyramid of base area A and height h is
V = (1/3)(base)(height).
Given that the dimensions of the base are L = 10 cm and W = 4 cm, the base area is 40 cm^2.
The height of the pyramid is h = 6 cm.
Therefore the volume of this particular pyramid is
V = (1/3)(40 cm^2)(6 cm), or V = 80 cm^3