Answer:
The length of the hypotenuse side is (9 + 2·√7) cm
Step-by-step explanation:
The given parameters of the triangle are;
The type f triangle = Right triangle
The length of the sides 2 cm and 7 cm shorter than the hypotenuse
Let 'h' represent the length of the hypotenuse side of the triangle, in centimeters we have;
The length of one side of the right triangle = (h - 2) cm
The length of the other side of the right triangle = (h - 7) cm
By Pythagoras's theorem, we have;
h² = (h - 2)² + (h - 7)²
Using search function on the internet, we have;
h² = (h - 2)² + (h - 7)² = 2·h² - 18·h + 53
∴ h² = 2·h² - 18·h + 53
∴ 2·h² - 18·h + 53 = h²
h² - 18·h + 53 = 0
53 is a prime number, therefore, by the quadratic formula, we have;
h = (18 ± √((-18)² - 4×1×53))/(2 × 1)
h = 9 + 2·√7 cm ≈ 14.29 cm or h = 9 - 2·√7 ≈ 3.71
However, given that one of the side is 7 cm shorter than the hypotenuse, for all the sides to remain positive, we have h = 9 + 2·√7 cm ≈ 14.29 cm , because for h ≈ 3.71 cm, we have;
The length of the other side = (h - 7) cm ≈ (3.71 - 7) cm ≈ -3.29 cm which is not possible for a real triangle
Therefore, the length of the hypotenuse side, h = 9 + 2·√7 cm ≈ 14.29 cm.
Classify the quadrilateral below.
Answer:
rhombus
Step-by-step explanation:
Find m2C.
D
18
С
9
B
o
mZC=
Answer:
none
Step-by-step explanation:
it doesn't have any information or content
Which equation can be used to determine the
value of x?
Answer:
The yellow one
Step-by-step explanation:
Answer:
the yellow one
is the answer
WILL GIVE 13 PIONTS AND MARK BRAINALIST .the area of a triangle of altitude 15 m is 225 sq.m.whatbis the length of its base please show steps clearly
Answer:
30 cm
Step-by-step explanation:
Area = 225 m^2
1/2bh = 225
b×15 = 225×2
B = 225×2/15
b = 30 cm
answer this plz maths question
Answer:
Step-by-step explanation:
[tex]\frac{3x + 5}{4x +2}=\frac{3x+4}{4x + 7}[/tex]
Cross multiply,
(3x+ 5 ) (4x + 7)=(3x + 4)*(4x + 2)
3x*4x + 3x *7 + 5*4x + 5*7 = 3x*4x + 3x*2 +4*4x + 4*2
12x² + 21x + 20x + 35 = 12x² + 6x + 16x + 8 {Combine like terms}
12x² + 41x + 35 = 12x² + 22x + 8
12x² + 41x +35 - 12x² - 22x = 8
12x² - 12x² + 41x - 22x + 35 = 8
0 + 19x + 35 = 8
19x = 8 - 35
19x = -27
x = -27/19
3 Which best represents x, the missing angle
measure on Sierra's homework?
A x= 30.8°
B x = 61.6°
C X= 75.8°
D x = 151.6°
Please Helpppppp!!!!! What is the value of x.
Answer:
Step-by-step explanation:
Remark
By corresponding angles and vertical angles, these two angles are equal.
Equation
-1 + 14x = 12x + 17 Subtract 12x from both sides
Solution
-1 + 14x - 12x = 12x - 12x + 17
-1 + 2x = 17 Add 1 to both sides
-1+1 + 2x = 17 + 1
2x = 18 Divide by 2
2x/2 = 18/2
x = 9
If f(1) = T and f(n) = 4f(n − 1) then find the value of f(5).
Answer: sorry i have not learnd that yet
Step-by-step explanation:
Answer:I need the answer please
Step-by-step explanation:
NEED HELP WHAT IS THE SLOPE!!
Answer:2/3
Step-by-step explanation:
Slope is 2/3
Can someone help me answer these questions
Plz help ill give you all my points plzzzzzz help
Answer:
100
Step-by-step explanation:
340 - (4 * 60) = 100
5h – 4 > 6 and 7h + 11 < 32
Answer:
iihi
Step-by-step explanation:
Answer:
h > 2
-------------------------
h < 3
Step-by-step explanation:
5h – 4 > 6
add 4 both sides
5h > 10
divide 5 both sides
h > 2
-------------------------
7h + 11 < 32
subtract 11 both sides
7h < 21
divide 7 both sides
h < 3
What is the tax rate in this city?
Answer:
6%
Step-by-step explanation:
Answer:
7% or 7 cents to the dollar
Step-by-step explanation:
Have you ever devised a way to solve a problem? How?
Answer:
What kind of problem?
Step-by-step explanation:
[tex]5 \sqrt{20} [/tex]
how do I solve this I'm so confused
Answer:
Step-by-step explanation:
=[tex]5\sqrt{20}[/tex]
=[tex]5\sqrt{2^{2}*5 }[/tex]
=[tex]5\sqrt{2x^{2} } \sqrt{5}[/tex]
=5 * [tex]2\sqrt{5}[/tex]
=[tex]10\sqrt{5}[/tex]
Joelle spent 1 1/2 hours studying for her science test. Rileigh studied 3/4 for of Joelle‛s time. What fraction of an hour did Rileigh spend studying?
Answer: 1¹/₈ hours
Step-by-step explanation:
Joelle spent 1¹/₂ hours reading and Rileigh spent 3/4 of that time.
To find out how much time Rileigh spent, multiply the fractions but first convert the improper fraction to a proper fraction:
= 1¹/₂ = 3/2
= 3/2 * 3/4
= 9/8
= 1¹/₈ hours
Answer:
1 1/8
Step-by-step explanation:
it's just right
Can someone help me with all of these??Pls, and explain it in words because i have to record a video for it.
Answer:
Question 1: 9 Question 2: e=40
Step-by-step explanation:
Question 1: Divide both sides of the equation by the same term,Cancel terms that are in both the numerator and denominator,Divide the numbers.
Question 2: I just subtracted 56 by 16. 56-16
Question 3: To find the value of x we need to use inverse operation.???
THIS IS ALL I COULD HELP I AM SORRY!
Please help I don’t understand what i am supposed to do
PLS HELP ASAP WILL MARK BRAINLIEST
How do natural resources impact the economies of countries in Southern and Eastern Asia?
*Choose 2
Group of answer choices
Countries specialize in industries that require hard-to-find natural resources.
Countries usually specialize in industries that make use of natural resources they have available.
Industrialized countries usually sell their natural resources to underdeveloped countries.
Many countries specialize in growing rice because their climate and land is well suited for it.
Answer:
C
Step-by-step explanation:
for Japan and South Korea it's more about high tech industry and services. but they also import all the resources other countries lack.
x is an integer and satisfies the following inequality. 5(x+4)<32 What is the maximum possible value for x?
a.6
b.3
c.2
d.0
Answer:
c.2
Step-by-step explanation:
5(x+4)<32
5(2+4)<32
10+20<30
can someone please help me with this? it would be so nice! and thank you!
The answers for the given Expression are;
1) 15(x+2)
2) -5x + 10
3) 9x - 10
4) 20x - 6
5) 14
6) 21
7) 19
What is an Expression?Numbers, symbols and operators (such as and times) grouped together that show the value of something.
Given are the Expressions to solve;
1) 15x + 30
GCF for this Expression is 15 therefore
15x + 30 = 15(x+2)
2) -5(x - 2) = -5 + 10
3) (8x - 6) - (-x + 4) = 8x - 6 + x - 4 = 9x - 10
4) (11x - 2) + (9x - 4) = 20x - 6
5) 2x - 4y when x = 5 and y = -1
2x - 4y = 2*5 - 4*(-1) = 14
6) x² + 5 when x = 4
4² +5 = 16 + 5 = 21
7) -3y + 12 + 3y + 7 = 19
Hence, The Answers are :
1) 15(x+2)
2) -5x + 10
3) 9x - 10
4) 20x - 6
5) 14
6) 21
7) 19
For more references on Expression, click;
https://brainly.com/question/14083225
#SPJ2
I
T
4
2.5
4.8
3
2
K
1.6
X
J
Are the triangles similar?
[ Select ]
someone please help me !
Answer:
no triangle IJK is not similar to triangle TXZ bcoz sides are not proportionate
Find the Value of x
x, 15, 13
Mean = 12
x =
Urgent please help..
Answer:
0.39
Step-by-step explanation:
Height of triangle (h) = 2.5 + 4 = 6. 5 cm
Base of triangle (b) = 3 + 3 = 6 cm
Radius of circle (r) = 4 cm
Required probability = Area of triangle/Area of circle
[tex] = \frac{ \frac{1}{2} bh }{\pi {r}^{2} } \\ \\ = \frac{ \frac{1}{2} \times 6 \times 6.5 }{3.14 \times {4}^{2} } \\ \\ = \frac{3 \times 6.5}{3.14 \times 16} \\ \\ = \frac{19.5}{50.24} \\ \\ = 0.388136943 \\ \\ \approx0.39[/tex]
A car magazine reports the number of miles driven for different amounts of gas for car C. How many miles does the car travel on 2 gallons of gas?
1. 100 miles in 2 gallons
2. 50 gallons in 2
3. 10 in 2
ANSWER NOW PLZ
Answer:
2. 50 gallons in 2 miles.Step-by-step explanation:
By closely observing the graph, we can see that the blue line of the graph meets both points, 2 gallons and 50 miles.
I would appreciate it if you would please mark me brainliest!
Anyone know this sorry if it’s a bit blurry
Answer:
y=-2/3x
Step-by-step explanation:
the angle is negative and if you look closely the slope is 2/3x just add the minus(-) and done.
y=-2/3x
Hope this helps!
HELP I NEED IT NOW ITS CLASSWORK 20 points
Answer:
Ok
3. 12, 3, 6, and 24
4. 60 and 30.
5. 0, 1, and 10.
Step-by-step explanation:
HOPE THIS HELPS!!
Can someone at least do letter A I don’t understand this
Answer:
10, opposing sides of a parrallelogram will have the same length
Step-by-step explanation:
given that FG = 10 , thus EH=FG=10
Answer:
EH is 10
Step-by-step explanation:
Parallelograms have congruent sides almost all of the time. so take the opposite side ( which is 10) and your answer!
have a free brainliesttttttttttttttttttt
omg thankss even thogh the brainliest goes to them
any help pls brainless
Answer:
the answers will be :
since 650 gallons fill in 1 hr 1gallon = 1/650 h so, 3185gal = 1/650 * 3185 = 4.9 h