Given:
The sides of a triangle are 3 cm, 5 cm, 7 cm.
To find:
The angle classification of the given triangle.
Solution:
Let a,b,c are the three sides of a triangle ABC, where c is the longest side.
1. Triangle ABC is acute, if [tex]c^2<a^2+b^2[/tex].
2. Triangle ABC is acute, if [tex]c^2=a^2+b^2[/tex].
3. Triangle ABC is acute, if [tex]c^2>a^2+b^2[/tex].
The sum of square of two smaller sides is
[tex]3^2+5^2=9+25[/tex]
[tex]3^2+5^2=34[/tex]
In the given triangle 7 cm is the longest sides. So,
[tex]7^2=49[/tex]
It means,
[tex]7^2>3^2+5^2[/tex]
Since [tex]c^2>a^2+b^2[/tex], therefore, the triangle ABC is an acute triangle.
There are 6 cabbages and 8 carrots in a bag. How many carrots need to be added to make the ratio of
cabbages to carrots 1:3?
Answer:
10 carrots
Step-by-step explanation:
So we have 6:8 which is 3:4, meaning that something needs to be changed
Solve for x assuming that we have 6 cabbages
1/3=6/x
x=18
Now we have 6:18, which is 1:3 simplified
There are already 8 carrots so subtract 8
18-8=10
Maria has a recipe for pumpkin bread. She uses 3 ½ cups of flour to make 2 loaves of pumpkin bread. Alex will follow the same recipe. He will make b loaves of pumpkin bread using f cups of flour. Write an equation that represents the relationship between b and f.
Answer:
b + 1.75f
Step-by-step explanation:
1.75 cups are used for every loaf of pumpkin bread.
Answer:
f(4/7)=b
Step-by-step explanation:
3+1/2=7/2
(7/2)x=2
x=4/7
the constant of the equation is 4/7
so take f and b and put f in place for 7/2 cups and b for 2 loaves of bread.
f(4/7)=b
Hope that helps :)
Population data from three towns is displayed in the tables below. Which town has grown that follows an exponential model?
Answer:
Step-by-step explanation:
there is no tables
7.4 as a mixed fraction
7.4 in fix fraction will look like this:
[tex]7 \frac{2}{5} [/tex]
A + B - _____ = B
PLEASE HELP
Answer:
A
Step-by-step explanation:
Because if you subtract A from A it gets rid of A leaving only B left.
Brad and Terrence are working on some math problems. Today, Terrence completed 15 math problems. This is 3 more than twice the number of problems that Brad completed. A)Write an equation that can used to find , b, the number of math problems that Brad completed.
Answer:
2b + 3 = 15
b = 6
Step-by-step explanation:
What is 0.574 rounded to the nearest hundredth? NEED BY 2 PM! EST
Answer:
0.57
Step-by-step explanation:
The 7 is in the hundredths place. Next to it is a 4. 4 does not round up, therefore making the answer 0.57.
When solving the system of equations 3x−3y=1 and −2x+4y=2 algebraically, a good first step is to:
A. Multiply 3x−3y=1 by 2, and multiply −2x+4y=2 by 3.
B. Multiply 3x−3y=1 by 3, and multiply −2x+4y=2 by −2.
C. Rewrite both equations in slope-intercept form.
D. Add the equations together.
Answer:
A. Multiply 3x−3y=1 by 2, and multiply −2x+4y=2 by 3.
Step-by-step explanation:
Given
[tex]3x - 3y = 1[/tex]
[tex]-2x+ 4y = 2[/tex]
Required
A good first step
A good first step is to eliminate x and this is done as follows:
Multiply [tex]3x - 3y = 1[/tex] by 2 (gotten from coefficient of x in the second equation)
Multiply [tex]-2x+ 4y = 2[/tex] by 3 (gotten from coefficient of x in the first equation)
This gives:
[tex]6x - 6y = 2[/tex]
[tex]-6x + 12y = 6[/tex]
Add both equations
[tex]6x - 6x - 6y + 12y = 2 + 6[/tex]
[tex]6y = 8[/tex]
[tex]y = \frac{4}{3}[/tex]
Hence (a), is true
Please help me I wanna get out this class
If 3n + 7 = 25, then find the value of the expression 8n - 3]
In ∆ DEF and ∆ XYZ, DE = XY, angle E = angle Y and EF = YZ. Name the
test of congruency by which both the triangles are congruent.
Answer:
n=6,
SAS,
63
Step-by-step explanation:
3n+7=25
3n=25-7
3n=18
n=18/3
n=6
_______________________________
ΔDEF is congruent to ΔXYZ
DE=XY(side)
<E=<Y (angle)
EF=YZ (side)
by SAS congruence criteria ΔDEF=ΔXYZ
_________________________
(Linear pair)
180°-117°
=63
Answer=63
add the complex numbers: (4 + 8j) + (-2 - j)
Answer:
7j+2 or 2+7j
Step-by-step explanation:
(4+8j)+(−2−j)
Subtract 2 from 4 to get 2.
2+8j−j
Combine 8j and −j to get 7j.
2+7j
Complete the sentence
Answer: b, d
Step-by-step explanation:
Corresponding angles are formed when two parallel straight lines are cut by a transversal
[tex]\angle b=62^{\circ}[/tex]
In the figure, [tex]\angle d\ \text{and}\ 62^{\circ}[/tex] are alternate angle
[tex]\therefore \angle d=62^{\circ}[/tex]
9. Density measures
A. how much liquid is in an object.
C. how tightly packed an object's particles are.
B. the amount of space an object takes up.
D. the amount of matter contained in an
object.
Answer:
How tightly packed an object's particles are.
Each fully colored ten block represents 1 whole the number represent above will be divided into 11 equal part how many squares need to be colored
Given:
Some boxes are fully colored.
Each fully colored ten block represents 1 whole.
The number of colored boxes will be divided into 11 equal part.
To find:
The number of squares need to be colored on each of the 10 blocks.
Step-by-step explanation:
From the given figure, it is clear that,
Number of colored box = 55
The number of colored box will be divided into 11.
[tex]\dfrac{55}{11}=5[/tex]
Therefore, 5 squares need to be colored on each of the 10 blocks.
117
x
x + 3
Find the value of x.
Answer:
114 I believe........
..
Answer:
what?
Step-by-step explanation:
a cuántos gramos equivale y 250 gramos
Answer:
Me puedes dar más información?...Pliss
Answer: Para esto nesesitamos mas informasion asi no te la podemos responder cariño.
Step-by-step explanation:
9x + 18 - 5x = 2 + 4x
Answer:
There are no solutions
Step-by-step explanation:
9x+18−5x=2+4x
Step 1: Simplify both sides of the equation.
9x+18−5x=2+4x
9x+18+−5x=2+4x
(9x+−5x)+(18)=4x+2(Combine Like Terms)
4x+18=4x+2
4x+18=4x+2
Step 2: Subtract 4x from both sides.
4x+18−4x=4x+2−4x
18=2
Step 3: Subtract 18 from both sides.
18−18=2−18
0=−16
Answer:
There aren't any values of x that would make the equation true.
NO SOLUTION
Hope this helped <3
What value of x makes the equation below true? 6x − 7 = 26
A.5
B.5.5
C.6
D.6.5
Answer:
B
Step-by-step explanation:
6x-7=26
6x=33
x=5.5
Answer:
B
Step-by-step explanation:
I need more letters ssssjsjsks
Yolanda needs $300 to buy a TV for her room. She has already
saved $50. She earns $ 10 an hour at her job. Set up and solve an
equation to find how many hours she needs to work to buy the TV.
(Use X +
to set up the equation.)
Answer:
she will have to work 25 hours
Step-by-step explanation:
$10 per 1 hour she has $50
$300-$50=$250
10 x 25 =250
Let's say Jose deposited $2,700 into a CD account with an Annual Percentage Rate
(APR) of 4%, compounded annually, and he must leave it in the account for at least 5
years.
Answer:
$3283.2
Step-by-step explanation:
Given data
Principal= $2700
Rate= 4%
Time= 5 years
Required
the final Amount A
The compound interest formula is
A=P(1+r)^t
Substitute
A=2700(1+0.04)^5
A=2700(1.04)^5
A=2700*1.216
A=$3283.2
Hence the balance in the account after 5 years is $3283.2
How much would you need to deposit in an account now in order to have $3000 in the account in 15 years? Assume the account earns 3% interest compounded monthly.
Answer:
Principal = Total ÷ (1 + Rate)^years
That formula is found here: http://www.1728.org/compint2.htm
Principal = 3.000 / (1.03) ^ 15
Principal = 3.000 / 1.5579674166
Principal = $1,925.59
Step-by-step explanation:
what number is 22 more than another. Their product is -121. Find the numbers by solving the equation
Answer:
what is the answers
Step-by-step explanation:
Xy^3
What is the coefficient?
Hey! Do you mind helping me?
Answer:
20 - x^2 + y = 28
y+9x > 28
60 / y > 28
Step-by-step explanation:
If you feed your puppy 8 ounces of dog food twice a day how many pounds of food do you feed in one day
Answer:
u add 8+8 or 8x2 and you get 16 onces then convert that to pounds and you get 1 pounds bc 16 onces = a pound
step-by-step explanation:
brainliest?
Find the measure of each angle of the triangle HIJ. There will be three answers. (Hint: find the value of x first.)
If AC = x + 6, and AB = 15 solve for x.
Use the half-angle formulas to find the exact value of the trigonometric function sin 15°
Answer:
sin 15° = 0.2588
Step-by-step explanation:
The half angle formula is:
[tex]\sin{(\frac{x}{2})} = \pm \sqrt{\frac{1 - \cos{x}}{2}}[/tex]
sin 15°
The double of 15º is 30º. First quadrant, so the sine is positive.
[tex]\sin{15} = sqrt{\frac{1 - \cos{30}}{2}}[/tex]
Since [tex]\cos{30} = 0.866[/tex]
[tex]\sin{15} = sqrt{\frac{1 - \cos{30}}{2}} = \sqrt{\frac{1 - 0.866}{2}} = 0.2588[/tex]
sin 15° = 0.2588
8 cookies eaten in 2 minutes
Answer:
wow so what's the question then
HELPPPPPPP PLEASEEEE I AM SO DESPERATE
Answer:
Select A, C, D, and F
Step-by-step explanation:
B is not multiplication
C is correct
D is shorter form, correct
F is correct
Plz mark as brainliest if correct! Have a nice day!!!