Answer:
The base is 24 cm long.
Step-by-step explanation:
Equations
Let's call
b= base of the triangle
h=height of the triangle
The base is 9 cm longer than the height, thus:
b = h + 9
The area of the triangle is:
[tex]\displaystyle A=\frac{bh}{2}[/tex]
[tex]\displaystyle A=\frac{(h+9)h}{2}[/tex]
And its value is 180:
[tex]\displaystyle \frac{(h+9)h}{2}=180[/tex]
Multiplying by 2:
[tex](h+9)h=360[/tex]
Operating:
[tex]h^2+9h-360=0[/tex]
Factoring:
[tex](h-15)(h+24)=0[/tex]
The only valid positive solution is:
h = 15 cm
And b = h + 9 = 24
b = 24 cm
The base is 24 cm long.
A line passes through the points (8, 1) and (6, 7). What is the slope?
Answer:
-3
Step-by-step explanation:
7-1=6
6-8=-2
A line connects the points (8, 1) and (6, 7). The angle is -3.
What is meant by slope?The slope or slope of a line is a number in mathematics that describes both the direction and slope of a line. Gradients are frequently represented by the letter m.There is no clear reason why the letter m is used for gradients, but it was first used in English by O'Brien (1844), who wrote the equation for a straight line as "y = mx + b."He is also depicted in Tod Hunter's (1888) work, where he wrote "y = mx + c."The slope is calculated by dividing the difference between two (arbitrary) points on a line by the ratio of vertical and horizontal change.Therefore,
Slope (m) = ΔY/ΔX
= 3/-1
= -3
The slope = -3
θ = arctan(ΔY/ΔX) + 180°
=1 08.43494882292°
ΔX = 6 – 8 = -2
ΔY = 7 – 1 = 6
Distance (d) = √ΔX2 + ΔY2 = √40 = 6.3245553203368
Equation of the line:
y = -3x + 25
When x = 0, y = 25
When y = 0, x = 8.3333333333333
Hence, A line connects the points (8, 1) and (6, 7). The angle is -3.
To learn more about slope, refer to:
brainly.com/question/16949303
#SPJ2
Which reason justifies statement 2?
A) Vertical angles are congruent
B) Corresponding angles are congruent
C) Alternate interior angles are congruent
D) Alternate exterior angles are congruent
Answer:
C. Alternate interior angles are congruent
Step-by-step explanation:
<Y and <4 are two alternate angles within the two parallel lines cut across by the transversal, hence, they are called alternate interior angles.
Alternate interior angles are always congruent to each other. Therefore, the reason that justifies statement two: "<Y ≅ <4", is "Alternate interior angles are congruent".
A chef at a restaurant uses 17 pounds of butter each day. About how many grams does the chef use each day?
answer
7711.07
Step-by-step explanation:
The chef uses 7,711.03 grams each day at a restaurant.
How to convert Pounds to Grams?The methodology to convert Pounds to Grams is relatively simple. To convert Pounds to Grams, you must multiply the unit by 453.59.
For example, if you have to convert 5 Pounds to Grams, you need to multiply 5 by 453.59.
A chef at a restaurant uses 17 pounds of butter each day.
We have to determine the number of grams the chef uses each day.
Since 1 pound (lb) is equal to 453.59 grams (g).
So 17 pounds = 453.59 × 17 = 7,711.03 grams
Thus, the chef uses 7,711.03 grams each day.
To learn more about the unit conversion click here:
https://brainly.com/question/12792843
#SPJ2
Todd and Kyle wrote down these numbers. Todd’s number is 78,452 Kyle’s number is 94,725 Which statement below is true about the values of the numbers? *
The value of the 2 in Todd’s number is 10 times larger than the value of the 2 in Kyle's number.
The value of the 5 in Kyle’s number is 10 times larger than the value of the 5 in Todd's number.
The value of the 4 in Kyle’s number is 10 times larger than the value of the 4 in Todd’s number.
The value of the 4 in Todd's number is 10 times larger than the value of the 4 in Kyle’s number.
Answer:
Your answer would be The third option or C
Step-by-step explanation:
Answer:
c) The value of the 5 in Kyle’s number is 10 times larger than the value of the 5 in Todd's number.
Step-by-step explanation:
math answer
What is an equation in point-slope form of the line that passes through (1, −6) and (4, 6)?
Answer:
y=4x-10
Step-by-step explanation:
Of the 16 children at the park, 10 are riding bicycles and 6 are riding skateboards. Select the
statements for which the ratio is correct.
a. The ratio of bicycles to skateboards is 10 to 6
b. The ratio of skateboards to children is 3.8
c. The ratio of bicycles to children 6 to 16
d. The ratio of skateboards to children is 6 10
The ratio of bicycles to children is 5,8
The ratio of bicycles to skateboards is 5.3
e
f.
f
Answer:
Step-by-step explanation:
its a or e
Answer:
A
Step-by-step explanation:
A is bicycles to skateboards which is 10:6
Write the next three terms: 7,10,13,16,
Answer:
7,10,13,16,19,21,24,27
Step-by-step explanation:
Add 3 every time
I hope this helped you! If it did, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a great day! :)
what is difference between applied force and normal force?
Answer:
An applied force is a force that is applied to an object by a person or another object. If a person is pushing a desk across the room, then there is an applied force acting upon the object. The normal force is the support force exerted upon an object that is in contact with another stable object.
a water park is designing an incline for guests to boogie board on as shown below
PLEASE HELP
is 0.75 repeating irrational or rational
Answer:
This is a rational decimal and is not a repeating decimal.
Step-by-step explanation:
Please help me I am confused
9. Which expression is equivalent to 14(8x−36)+2x? (1 point)
a. 10x - 36
b. 30x
c. 4x - 9
d. 4x - 36
Answer:
Step-by-step explanation:
14(8x-36)+2x
112x -504 +2x
114x-504
Which is true of the standard form of the equation of the line graphed the value of a can be
Answer:
Consider the equation 3p - 7 + p = 13. What is the resulting equation after the first step in the solution?
Step-by-step explanation:
answer-4p - 7 = 13
W-4y+z=0 for z (please show work)
Answer: z=-w+4y
Step-by-step explanation:
W-4y+z=0
Calculate product
w-4y+z+0
Move variables to the right
Choose the correct expression for 10 decreased by 3x
Answer:
10-3x=0
3x=10
x=10/3
Step-by-step explanation:
3/4 ^ 5/12 = 3/4 x _______
Helpppppppppppppppp it is due now
Write 7 more than w is 25 as an algebraic equation.
Answer:
w+7=25
Step-by-step explanation:
if you need it solved its
w+7=25
-7 -7
w=18
Answer:
7+w=25
Step-by-step explanation:
when it says more than, that's addition, so 7 more than w is 7+w
25 is the answer so that's self explanatory
Solve for w.
w−8=32
w = 4
w = 24
w = 40
w = 256
Answer:
w=40
Step-by-step explanation:
Let's solve your equation step-by-step.
w−8=32
Step 1: Add 8 to both sides.
w−8+8=32+8
w=40
Anna spent $2.75 at the school store. She bought two erasers and some pencils. How many pencils did she buy? Write and Solve an equation. If needed, use P to represent the number of pencils, and E to represent the number of Erasers. (This is for Multi-step Linear Equations)
Answer:
How much per a pencil and eraser? I'll help you out from there :)
ANSWER QUICKLY!!!11!!!1!1
what is 3/4 divided by one - sixths
24% of 72 is what number? (will mark brainliest for full explanation)
Answer:
300
Step-by-step explanation:
Answer:
17.28
Step-by-step explanation:
Multiply 72 by .24, .24 being 24% because it is 24 out of 100.
Stands steakhouse has a server to cook ratio of 5 to to tell a number of servers and cooks are 42 how many servers the stands steakhouse employ
Answer:
Stands Steakhouse has 210 servers.
Step-by-step explanation:
5 servers to 1 cook.
5/1 = x/42
x = 5 * 42 = 210
The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is y - 4 = (x – 8). What
is the slope-intercept form of the equation for this line?
O y = 1 x - 12
O y = -x-4
O y=+*+2
O y=x+6
Answer: y = x/4 + 2
Y equals one fourth x plus two.
Step-by-step explanation:
There seems to be a typo on answer choice c.
Slope intercept form is y= mx + b
m is the slope. b is the y-intercept.
The y-intercept is given here in the coordinate (0,2) It is +2
Slope is rise/run.
Rise: Difference in given y-values is 4-2 = 2.
Run: Difference in x-values is 8-0=8.
So the slope is 2/8 = 1/4
The equation is y = 1/4 x + 2
Choose the correct rule for the graph shown. Please Help 30POINTS
Answer:
B
Step-by-step explanation:
Answer:
B) y=3x
Step-by-step explanation:
Someone please help me with number 6 lve been stuck on it forever
Answer:
x = 10
Step-by-step explanation:
8x - 13 = 5x + 17 (DE = EF)
8x - 5x = 17 + 13
3x = 30
x = 10
help ⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️ 3) Scott is twice as old as Ben. Donna is 6 years older than Ben. The sum of their ages is 34. How old are Donna, Scott, and Ben?
Answer:
S=2B
D=B%2B6
S%2BD%2BB=34
Substitute,
2B%2BB%2B6%2BB=34
4B%2B6=34
4B=28
B=7
Then,
S=2%287%29=14
D=7%2B6=13
Step-by-step explanation:
hope this helps
Answer:
donna is 13
scoot is 14
ben is 7
Step-by-step explanation:
2x+6=34 2x+6-6=34-6 2x=28[tex]\frac{2x}{2} =\frac{28}{2}[/tex]x=14What is the polynomial of least degree with the given zeroes O with a
multiplicity of 3, -1 with a multiplicity of 2, i, and -i?
Answer:
the answer is by making this question make sense and less confusing
Step-by-step explanation:
Use the chart and graph to find the number of pairs of size 10 1/2 shoes the store orders for a total order of 175 pairs of shoes.
Answer
Ste2p-by-step explanation:
20 BECAUSE IM DOING THE SAME TEST 20 BECAUSE COUNT UP A COLUMN
28 is 7 times what number?
8 is 32 times what number?
4000 is 4 times what number?
Choose one part and explain how you know your answer is correct.
Answer:
1) 28 divided by 7 equals 4
2) 32 divided 8 equals 4
3) 4000 divided by 4 equals 1000
i hope these are right!
Answer:
4
1/4
1000
multiply it by the reciprocal of the 2nd number
Step-by-step explanation: