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UkoKoshka [18]
3 years ago
9

Triangle ABC is an obtuse triangle with the obtuse angle at vertex B. Angle A must be

Mathematics
1 answer:
kvv77 [185]3 years ago
8 0
Answer:

Angle A must be acute.

Explanation:

Both angle A and C must be acute. The sum of the angles in a triangle is 180°.

An obtuse angle is more than 90°, so the sum of the remaining 2 angles has to be less than 90°.

Note that it is impossible to have:

<span>2 right angles in a triangle, because <span>90°+90°=180</span>° and the third angle still needs to be added.1 obtuse and 1 right angle in a triangle, their sum is more than 180°2 obtuse angles in a triangle, their sum is more than 180°</span>

It is possible to have an obtuse-angled isosceles triangle, but the vertex angle must be obtuse and the equal base angles will be acute.

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15x^2 + 41x + 28 <br><br>STEP BY STEP ANSWER PLSSS​
maria [59]

Answer:

(3x+4)(5x+7)

Step-by-step explanation:

15x^2 +41x+28

Factor the expression by grouping. First, the expression needs to be rewritten as 15x^2 +ax+bx+28. To find a and b, set up a system to be solved.

a+b=41

ab=15×28=420

Since ab is positive, a and b have the same sign. Since a+b is positive, a and b are both positive. List all such integer pairs that give product 420.

1,420

2,210

3,140

4,105

5,84

6,70

7,60

10,42

12,35

14,30

15,28

20,21

Calculate the sum for each pair.

1+420=421

2+210=212

3+140=143

4+105=109

5+84=89

6+70=76

7+60=67

10+42=52

12+35=47

14+30=44

15+28=43

20+21=41

The solution is the pair that gives sum 41.

a=20

b=21

Rewrite 15x^2 +41x+28 as (15x^2 +20x)+(21x+28).

(15x^2 +20x)+(21x+28)

Factor out 5x in the first and 7 in the second group.

5x(3x+4)+7(3x+4)

Factor out common term 3x+4 by using distributive property.

(3x+4)(5x+7)

7 0
3 years ago
Read 2 more answers
What is the value of f=(x)=16x when x= 1/2
zalisa [80]
For the second question, your first option is correct, you would rewrite 8 in power-base form 8=2^3 as the first step to solving the equation, power base form is exponential form.


4 0
2 years ago
-6d - (c - d)^2 ; if c = 7 and d = 4
irina1246 [14]

Answer:

-6d - (c - d)^2 = -33

Step-by-step explanation:

-6(4) - (3)^2 =

-24 - 9 =

-33

7 0
3 years ago
Help me out with these two questions lol
Mashcka [7]

Answer:

94.2 cm

62.8 inch

Step-by-step explanation:

The circumference of a circle is 2πr, where r is the radius.

The diamater is twice the radius, d=2r.

1) 2π·15 ≈ 94.2 cm

2) r = 10 inch. 2π·10 = 62.8 inch.

6 0
2 years ago
Read 2 more answers
There are 16 ounces in one pound. If 3.4 pounds of beef cost $4.95, what is the cost per ounce, to the nearest cent?
Alina [70]
$0.09 per ounce Because there are 16 ounces in a pound, 3.4 pounds is 3.4(16) = 54.4 ounces. To find cost per ounce, divide the cost in dollars by the number of ounces
4 0
3 years ago
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