1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kykrilka [37]
3 years ago
10

A triangle has an area of 38.4 cm2. The

Mathematics
1 answer:
lisov135 [29]3 years ago
8 0

Answer:

6cm

Step-by-step explanation:

A = \frac{h_b b}{2}

38.4 = \frac{12.8_b b}{2}

b = 2\frac{A}{h_b}

b = 2\frac{38.4}{12.8} = 6

You might be interested in
A cone with radius 5 units is shown below. Its volume is 105 cubic units. Find the height of the cone.
Ainat [17]

Answer:

height of the cone  = 4.01273885 units

Step-by-step explanation:

Volume of a cone(V) is given by:

V = \frac{1}{3} \pi r^2h             ....[1]

where,

r is the radius and h is the height of the cone.

As per the statement:

A cone with radius 5 units and ts volume is 105 cubic units

⇒r = 5 units and V = 105 cubic units

Substitute these given values and use \pi = 3.14 in [1] we have;

105 = \frac{1}{3} \cdot 3.14 \cdot 5^2 \cdot h

Multiply both sides by 3 we have;

⇒315 = 78.5 \cdot h

Divide both sides by 78.5 we have;

4.01273885 = h

or

h = 4.01273885 units

Therefore, the height of the cone is, 4.01273885 units

6 0
3 years ago
Read 2 more answers
Let f(x) = x2- 3x - 7. Find f(-3)
Alexxx [7]
F(x) = x^2 - 3x - 7
f(-3) = (-3)^ 2 - 3(-3) - 7
f(-3) = 9 + 9 - 7
f(-3) = 18 - 7
f(-3) = 11
6 0
3 years ago
Write 15 as a product of prime numbere
fenix001 [56]
Maybe 10 or something i dont know im only 10 so i cant really answer that i just need points
7 0
3 years ago
Read 2 more answers
Given the following linear function sketch the graph of the function and find the domain and range f(x)=-3x+7
natka813 [3]
<h3>Answer:</h3>

see attached for a graph

domain and range: all real numbers

<h3>Step-by-step explanation:</h3>

The function is written in slope-intercept form, showing that it has a slope of -3 and a y-intercept of +7. The y-intercept (0, 7) is a point on the line, as is a point 1 unit to the right and down 3 units, (1, 4).

The graph will be the line through these two points.

_____

As with any odd-degree polynomial function, both domain and range are all real numbers: (-∞, ∞).

6 0
3 years ago
What are the domain and range of the function f(x)= square rootx-7+9?
FinnZ [79.3K]

Answer:

Domain: [7, ∞)

Range: [9, ∞)

Step-by-step explanation:

1) This question may be easily answered if you are aware of the shape of the graph of sq. root x, and the effect of translations to graphs.

1. x - 7 means that the original graph is translated 7 units in the positive direction of the x-axis (ie. to the right), thus the minimum value for x is also shifted from 0 to 7

2. the + 9 means that the graph is translated 9 units in the positive direction of the y-axis (ie. up), thus the minimum y-value is also shifted from 0 to 9

3. We know that the graph will continue to infinity, both in the x- and y-direction

Thus, the domain would be [7, ∞) and the range [9, ∞)

2) Another way to think about it is to ask yourself when it would make sense for the graph to exist. For this, we must consider that you cannot take the square root of a negative number.

Thus, if we have the square root of (x - 7), for what value of x would (x - 7) be negative? If x = 7:

x - 7 = 7 - 7 = 0

Therefor, any x-value less than 7 will lead to a negative answer, which wouldn't be practical. Any value equal to or greater than 7 will lead to a positive answer, thus the permissible values for x are from 7 to infinity, and so the domain is [7, ∞) (note that square brackets are used for 7 as it is included in the domain, whereas infinity is always closed with round brackets).

If we have already found the domain, then we can simply substitute the values for this into the equation to obtain the range (note that this will work for a square root function, however some functions will have turning points and in this case you must calculate the range based on the turning points as well as the minimum and maximum x-values):

if x = 7: y = sq. root (7-7) + 9

= 9

This is the minimum value for y

if we have x = ∞, then the y value will also be infinitely great, therefor the maximum y-value is also ∞. Thus, the range is [9, ∞).

These questions are much easier to solve however if you are already aware of the basic graph and the effect of dilations, translations and reflections so that you may visualise it better.

4 0
3 years ago
Other questions:
  • One of my students got 95, 98, and 32 for the two Principal tests and for the final test. a What is the average of her three tes
    8·2 answers
  • Write a linear function f with f(0) =7 and f(3)=1
    7·1 answer
  • Three merchants find a purse lying in the road. The first asserts that the discovery would make him twice as wealthy as the othe
    9·1 answer
  • Solve for x <br> 1) 2x + 5 = 30 - 3x <br> 2) -4 (11x +2) = 80 <br> 3) 3x + 1 + 32 = 180
    8·1 answer
  • Sunflower we haved renewed your helper thank you with working with our business
    11·1 answer
  • Someone help please !!
    13·1 answer
  • Find the slope of the line passing through (-2, 7) and (0, 1)
    7·1 answer
  • The area of a square is 49 m2. What is its side length?​
    10·2 answers
  • Hi there- kinda confused on this
    6·2 answers
  • On the first part of a 218 mile trip, a salesperson travels 2 hours and 15 minutes at an average speed of 64 mph. The salesperso
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!